Radiometria, fotometria, sznmrs

Jelensgek lersra hasznlt hrom kategriatvolsg

hosszsgmter

vilgossgvagylthatsgfnysrsgcd/m2 Jelensg

Mennyisg EgysgKategrik mechanikai pld. fotometria

Radiometria, fotometria, sznmrs A radiometria az optikai sugrzst fizikai mennyisgek formjban hatrozza meg. A fotometria ezt a sugrzst az tlagos emberi megfigyel ltsra jellemz sznkpi fggvny alapjn rtkeli.A sznmrs a sznszlelshez kvn objektven mrhet mennyisgeket rendelni.

RADIOMETRIAElektromgneses sugrzsoptikai sugrzs: 100 nm 1 mm hullmhossz elektromgneses sugrzslthat sugrzs: 380 nm 780 nmfny: a lthat sugrzs ltal kivltott szlelet

Elektromgneses sznkp

Radiometriai segdmennyisgekd trszg: a sugrkp ltal a gmbfelletbl kimetszett terlet s a gmbsugr ngyzetnek hnyadosa:d=dA/r2

P

(

d(

Sznkpfgg mennyisgek hullmhossz fggs: X()szr tereszts sznkpi eloszls:dX/d X Katdsugr-csves monitor fnyporainak sznkpi eloszls

Radiometriai mennyisgek

Radiometriai mennyisgek sszefggsei

BesugrzsE d /dA

Sugrerssg, pontszer forrs I d /d

Sugrsrsg A sugrz fellet dA felleteleme ltal a fellet normlistl (n) szgre elhelyezked irnyban, a d elemi trszgben kibocstott d sugrram L d2 /(d dA cos) ,spektrlis sugrsrsg:L dL /d = d3 /(d dA cos d)

Tvolsgtrvny (inverse square law) d I dd dA2/d2d /dA2 E2 (I d)/dA2 (I dA2)/(dA2 d2) = E2 I / d2

ltalnostott tvolsgtrvnydE2 (L cos1 cos2 dA1) / d2

Lambert sugrz Lambert radiatorsugrsrsge szgfggetlen: L() L(,) const.

P

(

d(

Tkrs s diffz reflexi

Lambert (reflektl) felletegyenletesen diffzan reflektl felletnincs tkrs reflexijareflexis egytthat: = refl/ berefl = be cosd ra reflektlt sugrsrsg irnyfggetlen: Lrefl (d)= const.

Lambert reflektlmegvil-gts: Evisszavert sugrzs, a sugr-srsg irny-fggetlen:

Lambert cosinus trvny

Lambert sugrz fnysrsge fggetlen a , szgtl mivel a gmb felletn: dA2 = R sin R d

s az elemi trszg: d = sin d d

a vettett trszg pedig:dp = sin d d cos

A fltrbe kisugrzott ssz-fnyram: M = / dA

A fltrbe kisugrzott fnyram:Lambert sugrz esetn:

Fotometriaaz optikai sugrzst a ltszerv sznkpi rzkenysgnek megfelelen rtkelivizulis alapksrlet: fnyinger egyenlsghatrvonal eltnse villogs minimumazonos vilgossg:ez ms sszefggst ad!

Villogsos fotometriavilgossgszlelet egyenlsg meghatrozsa bizonytalankt fnyingert felvltva juttatva a szembe, frekvencit nvelve, elbb sznik meg a sznklnbsg szlelet, mint az intenzits szlelet (10 20 Hz-es tartomny)

Villogsos fotomter elvi felptse

Mit r le a V (l) -lthatsgi fggvny?heterochromatikus villogsos fotometriaeltn-les heterochromatikus fotometrialtslessgkritikus fzis frekvencialtszlagos mozgs minimalizlsreakciid

Lthatsgi (visibility) fggvnyekNemzetkzi Vilgtstechnikai Bizottsg (Commission Internationale dclairage, CIE) 1924-ben szabvnyostotta a V(l)-grbt (vilgosban, fotopos lts) : 3 cd/m2 fltt rvnyes1954-ben a V(l)-grbt (sttben, szkotopos lts): 10-3 cd/m2 alatt rvnyesTovbbi lthatsgi fggvnyek:V10(l): nagyltszg, 10-os ltszgreVM(l): mdostott lthatsgi fggvny

Lthatsgi fggvnyek

Chart4

0.0000390.000589

0.00004282640.000665

0.00004691460.000752

0.00005158960.000854

0.00005717640.000972

0.0000640.001108

0.00007234420.001268

0.00008221220.001453

0.00009350820.001668

0.00010613610.001918

0.000120.002209

0.0001349840.002547

0.0001514920.002939

0.0001702080.003394

0.0001918160.003921

0.0002170.00453

0.00024690670.00524

0.000281240.00605

0.000318520.00698

0.00035726670.00806

0.0003960.00929

0.00043371470.0107

0.0004730240.01231

0.0005178760.01413

0.00057221870.01619

0.000640.01852

0.000724560.02113

0.00082550.02405

0.000941160.0273

0.001069880.03089

0.001210.03484

0.0013620910.03916

0.0015307520.0439

0.0017203680.049

0.0019353230.0545

0.002180.0604

0.00245480.0668

0.0027640.0736

0.00311780.0808

0.00352640.0885

0.0040.0966

0.004546240.1052

0.005159320.1141

0.005829280.1235

0.006546160.1334

0.00730.1436

0.0080865070.1541

0.008908720.1651

0.009767680.1764

0.010664430.1879

0.01160.1998

0.012573170.2119

0.013582720.2243

0.014629680.2369

0.015715090.2496

0.016840.2625

0.018007360.2755

0.019214480.2886

0.020453920.3017

0.021718240.3149

0.0230.3281

0.024294610.3412

0.025610240.3543

0.026958570.3673

0.028351250.3803

0.02980.3931

0.031310830.406

0.032883680.418

0.034521120.431

0.036225710.443

0.0380.455

0.039846670.467

0.0417680.479

0.0437660.49

0.045842670.502

0.0480.513

0.050243680.524

0.052573040.535

0.054980560.546

0.057458720.557

0.060.567

0.062601970.578

0.065277520.588

0.068042080.599

0.070911090.61

0.07390.62

0.0770160.631

0.08026640.642

0.08366680.653

0.08723280.664

0.090980.676

0.094917550.687

0.099045840.699

0.10336740.71

0.10788460.722

0.11260.734

0.1175320.745

0.12267440.757

0.12799280.769

0.13345280.781

0.139020.793

0.14467640.805

0.15046930.817

0.15646190.828

0.16271770.84

0.16930.851

0.17624310.862

0.18355810.873

0.19127350.884

0.1994180.894

0.208020.904

0.21711990.914

0.22673450.923

0.23685710.932

0.24748120.941

0.25860.949

0.27018490.957

0.28229390.964

0.29505050.97

0.3085780.976

0.3230.982

0.33840210.986

0.35468580.99

0.37169860.994

0.38928750.997

0.40730.998

0.42562991

0.44430961

0.46339441

0.48293950.998

0.5030.997

0.52356930.994

0.5445120.99

0.565690.986

0.58696530.981

0.60820.975

0.62934560.968

0.65030680.961

0.67087520.953

0.69084240.944

0.710.935

0.72818520.925

0.74546360.915

0.76196940.904

0.77783680.892

0.79320.88

0.80811040.867

0.82249620.854

0.83630680.84

0.84949160.826

0.8620.811

0.87381080.796

0.88496240.781

0.89549360.765

0.90544320.749

0.91485010.733

0.92373480.717

0.93209240.7

0.93992260.683

0.94722520.667

0.9540.65

0.96025610.633

0.96600740.616

0.97126060.599

0.97602250.581

0.98030.564

0.98409240.548

0.98741820.531

0.99031280.514

0.99281160.497

0.99495010.481

0.99671080.465

0.99809830.448

0.9991120.433

0.99974820.417

10.402

0.99985670.3864

0.99930460.3715

0.99832550.3569

0.99689870.3427

0.9950.3288

0.99260050.3151

0.98974260.3018

0.98644440.2888

0.98272410.2762

0.97860.2639

0.97408370.2519

0.96917120.2403

0.96385680.2291

0.95813490.2182

0.9520.2076

0.94545040.1974

0.93849920.1876

0.93116280.1782

0.92345760.169

0.91540.1602

0.90700640.1517

0.89827720.1436

0.88920480.1358

0.87978160.1284

0.870.1212

0.85986130.1143

0.8493920.1078

0.8386220.1015

0.82758130.0956

0.81630.0899

0.80479470.0845

0.7930820.0793

0.7811920.0745

0.76915470.0699

0.7570.0655

0.74475410.0613

0.73242240.0574

0.72000360.0537

0.70749650.0502

0.69490.0469

0.68221920.0438

0.66947160.0409

0.65667440.03816

0.64384480.03558

0.6310.03315

0.61815550.03087

0.60531440.02874

0.59247560.02674

0.57963790.02487

0.56680.02312

0.55396110.02147

0.54113720.01994

0.52835280.01851

0.51563230.01718

0.5030.01593

0.49046880.01477

0.47803040.01369

0.46567760.01269

0.45340320.01175

0.44120.01088

0.429080.01007

0.4170360.00932

0.4050320.00862

0.3930320.00797

0.3810.00737

0.36891840.00682

0.35682720.0063

0.34477680.00582

0.33281760.00538

0.3210.00497

0.30933810.00459

0.29785040.00424

0.28659360.003913

0.27562450.003613

0.2650.003335

0.25476320.003079

0.24488960.002842

0.23533440.002623

0.22605280.002421

0.2170.002235

0.20816160.002062

0.19954880.001903

0.19115520.001757

0.18297440.001621

0.1750.001497

0.16722350.001382

0.15964640.001276

0.15227760.001178

0.14512590.001088

0.13820.001005

0.13150030.000928

0.12502480.000857

0.11877920.000792

0.11276910.000732

0.1070.000677

0.10147620.000626

0.096188640.000579

0.091122960.000536

0.086264850.000496

0.08160.000459

0.077120640.000425

0.072825520.0003935

0.068710080.0003645

0.064769760.0003377

0.0610.0003129

0.057396210.0002901

0.053955040.0002689

0.050673760.0002493

0.047549650.0002313

0.044580.0002146

0.041758720.0001991

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0.036563840.0001716

0.034200480.0001593

0.0320.000148

0.029962610.0001375

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0.021800770.0000954

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0.019281080.0000826

0.018120690.0000769

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0.010273390.0000436

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0.0088461570.00003789

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0.0061384850.00002679

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0.0046764040.00002038

0.0043800750.00001905

0.0041020.0000178

0.0038384530.00001664

0.0035890990.00001556

0.0033542190.00001454

0.0031340930.0000136

0.0029290.00001273

0.0027381390.00001191

0.0025598760.00001114

0.0023932440.00001043

0.0022372750.00000976

0.0020910.00000914

0.0019535870.00000856

0.001824580.00000802

0.001703580.00000751

0.0015901870.00000704

0.0014840.0000066

0.0013844960.00000618

0.0012912680.0000058

0.0012040920.00000544

0.0011227440.0000051

0.0010470.00000478

0.00097658960.00000449

0.00091110880.00000421

0.00085013320.000003951

0.00079323840.000003709

0.000740.000003482

0.00069008270.00000327

0.000643310.00000307

0.0005994960.000002884

0.00055845470.00000271

0.000520.000002546

0.00048391360.000002393

0.00045005280.00000225

0.00041834520.000002115

0.00038871840.000001989

0.00036110.00000187

0.00033538350.000001759

0.00031144040.000001655

0.00028916560.000001557

0.00026845390.000001466

0.00024920.000001379

0.00023130190.000001299

0.00021468560.000001223

0.00019928840.000001151

0.00018504750.000001084

0.00017190.000001022

0.00015977810.000000962

0.00014860440.000000907

0.00013830160.000000855

0.00012879250.000000806

0.000120.00000076

0.00011185950.000000716

0.00010432240.000000675

0.00009733560.000000637

0.00009084590.000000601

0.00008480.000000567

0.00007914670.000000535

0.0000738580.000000505

0.0000689160.000000477

0.00006430270.00000045

0.000060.000000425

0.00005598190.000000401

0.00005222560.000000379

0.00004871840.000000358

0.00004544750.0000003382

0.00004240.0000003196

0.0000395610.0000003021

0.00003691510.0000002855

0.00003444870.0000002699

0.00003214820.0000002552

0.000030.0000002413

0.00002799120.0000002282

0.00002611360.0000002159

0.00002436020.0000002042

0.00002272460.0000001932

0.00002120.0000001829

0.00001977860.0000001731

0.00001845280.0000001638

0.00001721690.0000001551

0.00001606460.0000001468

0.000014990.000000139

V(l)

V'(l)

V(l)

V(l)

hullmhossz, nm

rel. rzkenysg

Sheet1

CIE Scotopic Visibility Function between 380 nm and 780 nm in 1 nm steps

3800.0000390.0006

3810.00004282640.0007

3820.00004691460.0008

3830.00005158960.0009

3840.00005717640.0010

3850.0000640.0011

3860.00007234420.0013

3870.00008221220.0015

3880.00009350820.0017

3890.00010613610.0019

3900.000120.0022

3910.0001349840.0025

3920.0001514920.0029

3930.0001702080.0034

3940.0001918160.0039

3950.0002170.0045

3960.00024690670.0052

3970.000281240.0061

3980.000318520.0070

3990.00035726670.0081

4000.0003960.0093

4010.00043371470.0107

4020.0004730240.0123

4030.0005178760.0141

4040.00057221870.0162

4050.000640.0185

4060.000724560.0211

4070.00082550.0241

4080.000941160.0273

4090.001069880.0309

4100.001210.0348

4110.0013620910.0392

4120.0015307520.0439

4130.0017203680.0490

4140.0019353230.0545

4150.002180.0604

4160.00245480.0668

4170.0027640.0736

4180.00311780.0808

4190.00352640.0885

4200.0040.0966

4210.004546240.1052

4220.005159320.1141

4230.005829280.1235

4240.006546160.1334

4250.00730.1436

4260.0080865070.1541

4270.008908720.1651

4280.009767680.1764

4290.010664430.1879

4300.01160.1998

4310.012573170.2119

4320.013582720.2243

4330.014629680.2369

4340.015715090.2496

4350.016840.2625

4360.018007360.2755

4370.019214480.2886

4380.020453920.3017

4390.021718240.3149

4400.0230.3281

4410.024294610.3412

4420.025610240.3543

4430.026958570.3673

4440.028351250.3803

4450.02980.3931

4460.031310830.4060

4470.032883680.4180

4480.034521120.4310

4490.036225710.4430

4500.0380.4550

4510.039846670.4670

4520.0417680.4790

4530.0437660.4900

4540.045842670.5020

4550.0480.5130

4560.050243680.5240

4570.052573040.5350

4580.054980560.5460

4590.057458720.5570

4600.060.5670

4610.062601970.5780

4620.065277520.5880

4630.068042080.5990

4640.070911090.6100

4650.07390.6200

4660.0770160.6310

4670.08026640.6420

4680.08366680.6530

4690.08723280.6640

4700.090980.6760

4710.094917550.6870

4720.099045840.6990

4730.10336740.7100

4740.10788460.7220

4750.11260.7340

4760.1175320.7450

4770.12267440.7570

4780.12799280.7690

4790.13345280.7810

4800.139020.7930

4810.14467640.8050

4820.15046930.8170

4830.15646190.8280

4840.16271770.8400

4850.16930.8510

4860.17624310.8620

4870.18355810.8730

4880.19127350.8840

4890.1994180.8940

4900.208020.9040

4910.21711990.9140

4920.22673450.9230

4930.23685710.9320

4940.24748120.9410

4950.25860.9490

4960.27018490.9570

4970.28229390.9640

4980.29505050.9700

4990.3085780.9760

5000.3230.9820

5010.33840210.9860

5020.35468580.9900

5030.37169860.9940

5040.38928750.9970

5050.40730.9980

5060.42562991.0000

5070.44430961.0000

5080.46339441.0000

5090.48293950.9980

5100.5030.9970

5110.52356930.9940

5120.5445120.9900

5130.565690.9860

5140.58696530.9810

5150.60820.9750

5160.62934560.9680

5170.65030680.9610

5180.67087520.9530

5190.69084240.9440

5200.710.9350

5210.72818520.9250

5220.74546360.9150

5230.76196940.9040

5240.77783680.8920

5250.79320.8800

5260.80811040.8670

5270.82249620.8540

5280.83630680.8400

5290.84949160.8260

5300.8620.8110

5310.87381080.7960

5320.88496240.7810

5330.89549360.7650

5340.90544320.7490

5350.91485010.7330

5360.92373480.7170

5370.93209240.7000

5380.93992260.6830

5390.94722520.6670

5400.9540.6500

5410.96025610.6330

5420.96600740.6160

5430.97126060.5990

5440.97602250.5810

5450.98030.5640

5460.98409240.5480

5470.98741820.5310

5480.99031280.5140

5490.99281160.4970

5500.99495010.4810

5510.99671080.4650

5520.99809830.4480

5530.9991120.4330

5540.99974820.4170

55510.4020

5560.99985670.3864

5570.99930460.3715

5580.99832550.3569

5590.99689870.3427

5600.9950.3288

5610.99260050.3151

5620.98974260.3018

5630.98644440.2888

5640.98272410.2762

5650.97860.2639

5660.97408370.2519

5670.96917120.2403

5680.96385680.2291

5690.95813490.2182

5700.9520.2076

5710.94545040.1974

5720.93849920.1876

5730.93116280.1782

5740.92345760.1690

5750.91540.1602

5760.90700640.1517

5770.89827720.1436

5780.88920480.1358

5790.87978160.1284

5800.870.1212

5810.85986130.1143

5820.8493920.1078

5830.8386220.1015

5840.82758130.0956

5850.81630.0899

5860.80479470.0845

5870.7930820.0793

5880.7811920.0745

5890.76915470.0699

5900.7570.0655

5910.74475410.0613

5920.73242240.0574

5930.72000360.0537

5940.70749650.0502

5950.69490.0469

5960.68221920.0438

5970.66947160.0409

5980.65667440.0382

5990.64384480.0356

6000.6310.0332

6010.61815550.0309

6020.60531440.0287

6030.59247560.0267

6040.57963790.0249

6050.56680.0231

6060.55396110.0215

6070.54113720.0199

6080.52835280.0185

6090.51563230.0172

6100.5030.0159

6110.49046880.0148

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&A

Page &P

Sheet1

&A

Page &P

V(l)

V'(l)

V(l)

V(l)

hullmhossz, nm

rel. rzkenysg

A V (l) -lthatsgi fggvnyA kk sznkptartomnyban korrekci: VM(l)- lthatsgi fggvny.j ajnls, mely a vrs s infravrs sznkptartomnyban is ad korrekcit.Korriglt fggvnyek csak tudomnyos clra, gyakorlati fotometria szmra marad a V (l)- lthatsgi fggvny.

Vilgosban s sttben val lts sznkpi rzkenysge

Chart1

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0.000007040.0015901870.001315950.001590187

0.00000660.0014840.001222390.001484

0.000006180.0013844960.001135550.001384496

0.00000580.0012912680.001054940.001291268

0.000005440.0012040920.000980140.001204092

0.00000510.0011227440.000910660.001122744

0.000004780.0010470.000846190.001047

0.000004490.00097658960.000786290.0009765896

0.000004210.00091110880.000730680.0009111088

0.0000039510.00085013320.000678990.0008501332

0.0000037090.00079323840.000631010.0007932384

0.0000034820.000740.000586440.00074

0.000003270.00069008270.000545110.0006900827

0.000003070.000643310.000506720.00064331

0.0000028840.0005994960.000471110.000599496

0.000002710.00055845470.000438050.0005584547

0.0000025460.000520.000407410.00052

0.0000023930.00048391360.0003789620.0004839136

0.000002250.00045005280.0003525430.0004500528

0.0000021150.00041834520.0003280010.0004183452

0.0000019890.00038871840.0003052080.0003887184

0.000001870.00036110.0002840410.0003611

0.0000017590.00033538350.0002643750.0003353835

0.0000016550.00031144040.0002461090.0003114404

0.0000015570.00028916560.0002291430.0002891656

0.0000014660.00026845390.0002133760.0002684539

0.0000013790.00024920.000198730.0002492

0.0000012990.00023130190.0001851150.0002313019

0.0000012230.00021468560.0001724540.0002146856

0.0000011510.00019928840.0001606780.0001992884

0.0000010840.00018504750.000149730.0001850475

0.0000010220.00017190.000139550.0001719

0.0000009620.00015977810.0001300860.0001597781

0.0000009070.00014860440.000121290.0001486044

0.0000008550.00013830160.0001131060.0001383016

0.0000008060.00012879250.0001055010.0001287925

0.000000760.000120.0000984280.00012

0.0000007160.00011185950.0000918530.0001118595

0.0000006750.00010432240.0000857380.0001043224

0.0000006370.00009733560.0000800480.0000973356

0.0000006010.00009084590.0000747510.0000908459

0.0000005670.00008480.0000698190.0000848

0.0000005350.00007914670.0000652220.0000791467

0.0000005050.0000738580.0000609390.000073858

0.0000004770.0000689160.0000569420.000068916

0.000000450.00006430270.0000532170.0000643027

0.0000004250.000060.0000497370.00006

0.0000004010.00005598190.0000464910.0000559819

0.0000003790.00005222560.0000434640.0000522256

0.0000003580.00004871840.0000406350.0000487184

0.00000033820.00004544750.0000380.0000454475

0.00000031960.00004240.00003554050.0000424

0.00000030210.0000395610.00003324480.000039561

0.00000028550.00003691510.00003110060.0000369151

0.00000026990.00003444870.0000290990.0000344487

0.00000025520.00003214820.00002723070.0000321482

0.00000024130.000030.0000254860.00003

0.00000022820.00002799120.00002385610.0000279913

0.00000021590.00002611360.00002233320.0000261136

0.00000020420.00002436020.00002091040.0000243602

0.00000019320.00002272460.00001958080.0000227246

0.00000018290.00002120.00001833840.0000212

0.00000017310.00001977860.00001717770.0000197786

0.00000016380.00001845280.00001609340.0000184529

0.00000015510.00001721690.000015080.0000172169

0.00000014680.00001606460.00001413360.0000160646

0.0000001390.000014990.0000132490.00001499

V'(l)

V2(l)

V10(l)

VM(l)

wavelength, nm

rel. sens.

CIE_VM

VM(lambda) function from 380 nm to 780 nm in 1 nm steps

0.0002

0.00022821

0.00026109

0.00029936

0.00034387

0.00039556

0.00045544

0.00052462

0.00060428

0.00069565

0.0008

0.00091635

0.0010477

0.0011955

0.0013611

0.0015457

0.0017508

0.0018776

0.0022273

0.0025011

0.0028

0.0031159

0.0034576

0.0038268

0.0042256

0.0046562

0.0051216

0.0056248

0.0061695

0.0067597

0.0074

0.0081451

0.0089555

0.0098322

0.010774

0.011779

0.012842

0.013956

0.015111

0.016297

0.0175

0.018582

0.019645

0.020683

0.021694

0.022678

0.023636

0.024572

0.02549

0.026397

0.0273

0.028335

0.029383

0.030442

0.03151

0.032584

0.033661

0.034735

0.035803

0.03686

0.0379

0.038838

0.039752

0.040646

0.041524

0.042391

0.043252

0.044116

0.04499

0.045881

0.0468

0.047743

0.048733

0.049785

0.05091

0.052122

0.053435

0.054864

0.056424

0.058131

0.06

0.06260197

0.06527752

0.06804208

0.07091109

0.0739

0.077016

0.0802664

0.0836668

0.0872328

0.09098

0.09491755

0.09904584

0.1033674

0.1078846

0.1126

0.117532

0.1226744

0.1279928

0.1334528

0.13902

0.1446764

0.1504693

0.1564619

0.1627177

0.1693

0.1762431

0.1835581

0.1912735

0.199418

0.20802

0.2171199

0.2267345

0.2368571

0.2474812

0.2586

0.2701849

0.2822939

0.2950505

0.308578

0.323

0.3384021

0.3546858

0.3716986

0.3892875

0.4073

0.4256299

0.4443096

0.4633944

0.4829395

0.503

0.5235693

0.544512

0.56569

0.5869653

0.6082

0.6293456

0.6503068

0.6708752

0.6908424

0.71

0.7281852

0.7454636

0.7619694

0.7778368

0.7932

0.8081104

0.8224962

0.8363068

0.8494916

0.862

0.8738108

0.8849624

0.8954936

0.9054432

0.9148501

0.9237348

0.9320924

0.9399226

0.9472252

0.954

0.9602561

0.9660074

0.9712606

0.9760225

0.9803

0.9840924

0.9874182

0.9903128

0.9928116

0.9949501

0.9967108

0.9980983

0.999112

0.9997482

1

0.9998567

0.9993046

0.9983255

0.9968987

0.995

0.9926005

0.9897426

0.9864444

0.9827241

0.9786

0.9740837

0.9691712

0.9638568

0.9581349

0.952

0.9454504

0.9384992

0.9311628

0.9234576

0.9154

0.9070064

0.8982772

0.8892048

0.8797816

0.87

0.8598613

0.849392

0.838622

0.8275813

0.8163

0.8047947

0.793082

0.781192

0.7691547

0.757

0.7447541

0.7324224

0.7200036

0.7074965

0.6949

0.6822192

0.6694716

0.6566744

0.6438448

0.631

0.6181555

0.6053144

0.5924756

0.5796379

0.5668

0.5539611

0.5411372

0.5283528

0.5156323

0.503

0.4904688

0.4780304

0.4656776

0.4534032

0.4412

0.42908

0.417036

0.405032

0.393032

0.381

0.3689184

0.3568272

0.3447768

0.3328176

0.321

0.3093381

0.2978504

0.2865936

0.2756245

0.265

0.2547632

0.2448896

0.2353344

0.2260528

0.217

0.2081616

0.1995488

0.1911552

0.1829744

0.175

0.1672235

0.1596464

0.1522776

0.1451259

0.1382

0.1315003

0.1250248

0.1187792

0.1127691

0.107

0.1014762

0.09618864

0.09112296

0.08626485

0.0816

0.07712064

0.07282552

0.06871008

0.06476976

0.061

0.05739621

0.05395504

0.05067376

0.04754965

0.04458

0.04175872

0.03908496

0.03656384

0.03420048

0.032

0.02996261

0.02807664

0.02632936

0.02470805

0.0232

0.02180077

0.02050112

0.01928108

0.01812069

0.017

0.01590379

0.01483718

0.01381068

0.01283478

0.01192

0.01106831

0.01027339

0.009533311

0.008846157

0.00821

0.007623781

0.007085424

0.006591476

0.006138485

0.005723

0.005343059

0.004995796

0.004676404

0.004380075

0.004102

0.003838453

0.003589099

0.003354219

0.003134093

0.002929

0.002738139

0.002559876

0.002393244

0.002237275

0.002091

0.001953587

0.00182458

0.00170358

0.001590187

0.001484

0.001384496

0.001291268

0.001204092

0.001122744

0.001047

0.0009765896

0.0009111088

0.0008501332

0.0007932384

0.00074

0.0006900827

0.00064331

0.000599496

0.0005584547

0.00052

0.0004839136

0.0004500528

0.0004183452

0.0003887184

0.0003611

0.0003353835

0.0003114404

0.0002891656

0.0002684539

0.0002492

0.0002313019

0.0002146856

0.0001992884

0.0001850475

0.0001719

0.0001597781

0.0001486044

0.0001383016

0.0001287925

0.00012

0.0001118595

0.0001043224

0.0000973356

0.0000908459

0.0000848

0.0000791467

0.000073858

0.000068916

0.0000643027

0.00006

0.0000559819

0.0000522256

0.0000487184

0.0000454475

0.0000424

0.000039561

0.0000369151

0.0000344487

0.0000321482

0.00003

0.0000279913

0.0000261136

0.0000243602

0.0000227246

0.0000212

0.0000197786

0.0000184529

0.0000172169

0.0000160646

0.00001499

A fotometria ksrleti alapjaszimmetria: ha AB, akkor BA; tranzitivits: ha AB s BC, akkor AC; arnyossg: ha AB, akkor aAaB; additivits: ha AB, CD s (A+C)(B+D), akkor (A+D)(B+C) itt A, B stb. fnyinger (stimulus): a sugrsrsg s a lthatsgi fggvny adott hullmhosszon vett rtknek szorzata: pl. ALV() , ltalnostva a sugrzs teljestmny-eloszlst rhatjuk: SV().

A V (l) -lthatsgi fggvny hasznlata

A fotometria alapjaia fenti sszefggsek alapjn a monokromatikus komponenseket sszegezhetjk:ez adja a fotometria s radiometria kapcsolatt

A fotometria alapjaiNappali (fotopos) lts: V() , csapok kzvettiksttben (szkotopos) lts: V() , plcika-lts; szembbor (rhodopsin), additivits s proporcionalits fennll:

Fotometriai mennyisgek s egysgek - 1 k s k konstansok:ahol Km = 683 lm/W alapjn definilhatjuk a fnyram egysgt a lument. De a fnyerssg egysge, a kandela az alapegysg.Km = 1700 lm/WFnyram jele:lm, egysge a lumen.

Fotopos, mezopos, szkotopos fotometria

Fotometriai mennyisgek s egysgek - 2fnyerssg a pontszer fnyforrsbl adott irnyban, infinitezimlis trszgben kibocstott fnyram s a trszg hnyadosa: jele: cd, egysge: kandela, 1 cd = 1 lm/sr

A kandela defincijaA kandela fnyerssg SI egysge: azon 540.1012 Hz frekvencij monokromatikus sugrzst kibocst fnyforrs fnyerssge adott irnyban, amelynek sugrerssge ebben az irnyban 1/683 W/sr.

A fnyram szrmaztatsa a fnyerssgbl

Fnysrsga dA1 felletelemet elhagy (azon thalad vagy arra bees) s adott irnyt tartalmaz d trszgben sugrzott dF fnyramnak, valamint az elemi trszgnek s a felletelem adott irnyra merleges vetlete szorzatnak hnyadosa: egysge:cd/m2, jele: Lv

MegvilgtsAz adott pontot tartalmaz felletelemre bees fnyramnak s ennek a felletelemnek a hnyadosaegysge: lux, jele:lx; 1 lx = 1 lm/m2

Kontraszt, kontrasztviszonykontraszt: aholLt a jel (target) fnysrsgeLb a httr (background) fnysrsgekontrasztviszony:

Hatsfok, fnyhasznostssugrzsi hatsfok, jel: a sugrz sugrzott s felvett teljestmnynek hnyadosa sugrforrs fnyhasznostsa, egysge: lm/W a kibocstott fnyram s a sugrz ltal felvett teljestmny hnyadosa

Fnyforrsok fnyhasznostsa

Mezopos fotometriaCAD laboratriumokban s irnyt kzpontokban elfordul szmtstechnikusi feladattvilgts3 cd/m2 s 10-3 cd/m2 kztti fnysrsg tartomnyszem sznkpi rzkenysge V(l)-tl V(l) fel toldik el.

Szkotopos, mezopos s fotopos tartomny

Lthatsgi fggvnyek

Chart4

0.0000390.000589

0.00004282640.000665

0.00004691460.000752

0.00005158960.000854

0.00005717640.000972

0.0000640.001108

0.00007234420.001268

0.00008221220.001453

0.00009350820.001668

0.00010613610.001918

0.000120.002209

0.0001349840.002547

0.0001514920.002939

0.0001702080.003394

0.0001918160.003921

0.0002170.00453

0.00024690670.00524

0.000281240.00605

0.000318520.00698

0.00035726670.00806

0.0003960.00929

0.00043371470.0107

0.0004730240.01231

0.0005178760.01413

0.00057221870.01619

0.000640.01852

0.000724560.02113

0.00082550.02405

0.000941160.0273

0.001069880.03089

0.001210.03484

0.0013620910.03916

0.0015307520.0439

0.0017203680.049

0.0019353230.0545

0.002180.0604

0.00245480.0668

0.0027640.0736

0.00311780.0808

0.00352640.0885

0.0040.0966

0.004546240.1052

0.005159320.1141

0.005829280.1235

0.006546160.1334

0.00730.1436

0.0080865070.1541

0.008908720.1651

0.009767680.1764

0.010664430.1879

0.01160.1998

0.012573170.2119

0.013582720.2243

0.014629680.2369

0.015715090.2496

0.016840.2625

0.018007360.2755

0.019214480.2886

0.020453920.3017

0.021718240.3149

0.0230.3281

0.024294610.3412

0.025610240.3543

0.026958570.3673

0.028351250.3803

0.02980.3931

0.031310830.406

0.032883680.418

0.034521120.431

0.036225710.443

0.0380.455

0.039846670.467

0.0417680.479

0.0437660.49

0.045842670.502

0.0480.513

0.050243680.524

0.052573040.535

0.054980560.546

0.057458720.557

0.060.567

0.062601970.578

0.065277520.588

0.068042080.599

0.070911090.61

0.07390.62

0.0770160.631

0.08026640.642

0.08366680.653

0.08723280.664

0.090980.676

0.094917550.687

0.099045840.699

0.10336740.71

0.10788460.722

0.11260.734

0.1175320.745

0.12267440.757

0.12799280.769

0.13345280.781

0.139020.793

0.14467640.805

0.15046930.817

0.15646190.828

0.16271770.84

0.16930.851

0.17624310.862

0.18355810.873

0.19127350.884

0.1994180.894

0.208020.904

0.21711990.914

0.22673450.923

0.23685710.932

0.24748120.941

0.25860.949

0.27018490.957

0.28229390.964

0.29505050.97

0.3085780.976

0.3230.982

0.33840210.986

0.35468580.99

0.37169860.994

0.38928750.997

0.40730.998

0.42562991

0.44430961

0.46339441

0.48293950.998

0.5030.997

0.52356930.994

0.5445120.99

0.565690.986

0.58696530.981

0.60820.975

0.62934560.968

0.65030680.961

0.67087520.953

0.69084240.944

0.710.935

0.72818520.925

0.74546360.915

0.76196940.904

0.77783680.892

0.79320.88

0.80811040.867

0.82249620.854

0.83630680.84

0.84949160.826

0.8620.811

0.87381080.796

0.88496240.781

0.89549360.765

0.90544320.749

0.91485010.733

0.92373480.717

0.93209240.7

0.93992260.683

0.94722520.667

0.9540.65

0.96025610.633

0.96600740.616

0.97126060.599

0.97602250.581

0.98030.564

0.98409240.548

0.98741820.531

0.99031280.514

0.99281160.497

0.99495010.481

0.99671080.465

0.99809830.448

0.9991120.433

0.99974820.417

10.402

0.99985670.3864

0.99930460.3715

0.99832550.3569

0.99689870.3427

0.9950.3288

0.99260050.3151

0.98974260.3018

0.98644440.2888

0.98272410.2762

0.97860.2639

0.97408370.2519

0.96917120.2403

0.96385680.2291

0.95813490.2182

0.9520.2076

0.94545040.1974

0.93849920.1876

0.93116280.1782

0.92345760.169

0.91540.1602

0.90700640.1517

0.89827720.1436

0.88920480.1358

0.87978160.1284

0.870.1212

0.85986130.1143

0.8493920.1078

0.8386220.1015

0.82758130.0956

0.81630.0899

0.80479470.0845

0.7930820.0793

0.7811920.0745

0.76915470.0699

0.7570.0655

0.74475410.0613

0.73242240.0574

0.72000360.0537

0.70749650.0502

0.69490.0469

0.68221920.0438

0.66947160.0409

0.65667440.03816

0.64384480.03558

0.6310.03315

0.61815550.03087

0.60531440.02874

0.59247560.02674

0.57963790.02487

0.56680.02312

0.55396110.02147

0.54113720.01994

0.52835280.01851

0.51563230.01718

0.5030.01593

0.49046880.01477

0.47803040.01369

0.46567760.01269

0.45340320.01175

0.44120.01088

0.429080.01007

0.4170360.00932

0.4050320.00862

0.3930320.00797

0.3810.00737

0.36891840.00682

0.35682720.0063

0.34477680.00582

0.33281760.00538

0.3210.00497

0.30933810.00459

0.29785040.00424

0.28659360.003913

0.27562450.003613

0.2650.003335

0.25476320.003079

0.24488960.002842

0.23533440.002623

0.22605280.002421

0.2170.002235

0.20816160.002062

0.19954880.001903

0.19115520.001757

0.18297440.001621

0.1750.001497

0.16722350.001382

0.15964640.001276

0.15227760.001178

0.14512590.001088

0.13820.001005

0.13150030.000928

0.12502480.000857

0.11877920.000792

0.11276910.000732

0.1070.000677

0.10147620.000626

0.096188640.000579

0.091122960.000536

0.086264850.000496

0.08160.000459

0.077120640.000425

0.072825520.0003935

0.068710080.0003645

0.064769760.0003377

0.0610.0003129

0.057396210.0002901

0.053955040.0002689

0.050673760.0002493

0.047549650.0002313

0.044580.0002146

0.041758720.0001991

0.039084960.0001848

0.036563840.0001716

0.034200480.0001593

0.0320.000148

0.029962610.0001375

0.028076640.0001277

0.026329360.0001187

0.024708050.0001104

0.02320.0001026

0.021800770.0000954

0.020501120.0000888

0.019281080.0000826

0.018120690.0000769

0.0170.0000715

0.015903790.0000666

0.014837180.000062

0.013810680.0000578

0.012834780.0000538

0.011920.0000501

0.011068310.0000467

0.010273390.0000436

0.0095333110.0000406

0.0088461570.00003789

0.008210.00003533

0.0076237810.00003295

0.0070854240.00003075

0.0065914760.0000287

0.0061384850.00002679

0.0057230.00002501

0.0053430590.00002336

0.0049957960.00002182

0.0046764040.00002038

0.0043800750.00001905

0.0041020.0000178

0.0038384530.00001664

0.0035890990.00001556

0.0033542190.00001454

0.0031340930.0000136

0.0029290.00001273

0.0027381390.00001191

0.0025598760.00001114

0.0023932440.00001043

0.0022372750.00000976

0.0020910.00000914

0.0019535870.00000856

0.001824580.00000802

0.001703580.00000751

0.0015901870.00000704

0.0014840.0000066

0.0013844960.00000618

0.0012912680.0000058

0.0012040920.00000544

0.0011227440.0000051

0.0010470.00000478

0.00097658960.00000449

0.00091110880.00000421

0.00085013320.000003951

0.00079323840.000003709

0.000740.000003482

0.00069008270.00000327

0.000643310.00000307

0.0005994960.000002884

0.00055845470.00000271

0.000520.000002546

0.00048391360.000002393

0.00045005280.00000225

0.00041834520.000002115

0.00038871840.000001989

0.00036110.00000187

0.00033538350.000001759

0.00031144040.000001655

0.00028916560.000001557

0.00026845390.000001466

0.00024920.000001379

0.00023130190.000001299

0.00021468560.000001223

0.00019928840.000001151

0.00018504750.000001084

0.00017190.000001022

0.00015977810.000000962

0.00014860440.000000907

0.00013830160.000000855

0.00012879250.000000806

0.000120.00000076

0.00011185950.000000716

0.00010432240.000000675

0.00009733560.000000637

0.00009084590.000000601

0.00008480.000000567

0.00007914670.000000535

0.0000738580.000000505

0.0000689160.000000477

0.00006430270.00000045

0.000060.000000425

0.00005598190.000000401

0.00005222560.000000379

0.00004871840.000000358

0.00004544750.0000003382

0.00004240.0000003196

0.0000395610.0000003021

0.00003691510.0000002855

0.00003444870.0000002699

0.00003214820.0000002552

0.000030.0000002413

0.00002799120.0000002282

0.00002611360.0000002159

0.00002436020.0000002042

0.00002272460.0000001932

0.00002120.0000001829

0.00001977860.0000001731

0.00001845280.0000001638

0.00001721690.0000001551

0.00001606460.0000001468

0.000014990.000000139

V(l)

V'(l)

V(l)

V(l)

hullmhossz, nm

rel. rzkenysg

Sheet1

CIE Scotopic Visibility Function between 380 nm and 780 nm in 1 nm steps

3800.0000390.0006

3810.00004282640.0007

3820.00004691460.0008

3830.00005158960.0009

3840.00005717640.0010

3850.0000640.0011

3860.00007234420.0013

3870.00008221220.0015

3880.00009350820.0017

3890.00010613610.0019

3900.000120.0022

3910.0001349840.0025

3920.0001514920.0029

3930.0001702080.0034

3940.0001918160.0039

3950.0002170.0045

3960.00024690670.0052

3970.000281240.0061

3980.000318520.0070

3990.00035726670.0081

4000.0003960.0093

4010.00043371470.0107

4020.0004730240.0123

4030.0005178760.0141

4040.00057221870.0162

4050.000640.0185

4060.000724560.0211

4070.00082550.0241

4080.000941160.0273

4090.001069880.0309

4100.001210.0348

4110.0013620910.0392

4120.0015307520.0439

4130.0017203680.0490

4140.0019353230.0545

4150.002180.0604

4160.00245480.0668

4170.0027640.0736

4180.00311780.0808

4190.00352640.0885

4200.0040.0966

4210.004546240.1052

4220.005159320.1141

4230.005829280.1235

4240.006546160.1334

4250.00730.1436

4260.0080865070.1541

4270.008908720.1651

4280.009767680.1764

4290.010664430.1879

4300.01160.1998

4310.012573170.2119

4320.013582720.2243

4330.014629680.2369

4340.015715090.2496

4350.016840.2625

4360.018007360.2755

4370.019214480.2886

4380.020453920.3017

4390.021718240.3149

4400.0230.3281

4410.024294610.3412

4420.025610240.3543

4430.026958570.3673

4440.028351250.3803

4450.02980.3931

4460.031310830.4060

4470.032883680.4180

4480.034521120.4310

4490.036225710.4430

4500.0380.4550

4510.039846670.4670

4520.0417680.4790

4530.0437660.4900

4540.045842670.5020

4550.0480.5130

4560.050243680.5240

4570.052573040.5350

4580.054980560.5460

4590.057458720.5570

4600.060.5670

4610.062601970.5780

4620.065277520.5880

4630.068042080.5990

4640.070911090.6100

4650.07390.6200

4660.0770160.6310

4670.08026640.6420

4680.08366680.6530

4690.08723280.6640

4700.090980.6760

4710.094917550.6870

4720.099045840.6990

4730.10336740.7100

4740.10788460.7220

4750.11260.7340

4760.1175320.7450

4770.12267440.7570

4780.12799280.7690

4790.13345280.7810

4800.139020.7930

4810.14467640.8050

4820.15046930.8170

4830.15646190.8280

4840.16271770.8400

4850.16930.8510

4860.17624310.8620

4870.18355810.8730

4880.19127350.8840

4890.1994180.8940

4900.208020.9040

4910.21711990.9140

4920.22673450.9230

4930.23685710.9320

4940.24748120.9410

4950.25860.9490

4960.27018490.9570

4970.28229390.9640

4980.29505050.9700

4990.3085780.9760

5000.3230.9820

5010.33840210.9860

5020.35468580.9900

5030.37169860.9940

5040.38928750.9970

5050.40730.9980

5060.42562991.0000

5070.44430961.0000

5080.46339441.0000

5090.48293950.9980

5100.5030.9970

5110.52356930.9940

5120.5445120.9900

5130.565690.9860

5140.58696530.9810

5150.60820.9750

5160.62934560.9680

5170.65030680.9610

5180.67087520.9530

5190.69084240.9440

5200.710.9350

5210.72818520.9250

5220.74546360.9150

5230.76196940.9040

5240.77783680.8920

5250.79320.8800

5260.80811040.8670

5270.82249620.8540

5280.83630680.8400

5290.84949160.8260

5300.8620.8110

5310.87381080.7960

5320.88496240.7810

5330.89549360.7650

5340.90544320.7490

5350.91485010.7330

5360.92373480.7170

5370.93209240.7000

5380.93992260.6830

5390.94722520.6670

5400.9540.6500

5410.96025610.6330

5420.96600740.6160

5430.97126060.5990

5440.97602250.5810

5450.98030.5640

5460.98409240.5480

5470.98741820.5310

5480.99031280.5140

5490.99281160.4970

5500.99495010.4810

5510.99671080.4650

5520.99809830.4480

5530.9991120.4330

5540.99974820.4170

55510.4020

5560.99985670.3864

5570.99930460.3715

5580.99832550.3569

5590.99689870.3427

5600.9950.3288

5610.99260050.3151

5620.98974260.3018

5630.98644440.2888

5640.98272410.2762

5650.97860.2639

5660.97408370.2519

5670.96917120.2403

5680.96385680.2291

5690.95813490.2182

5700.9520.2076

5710.94545040.1974

5720.93849920.1876

5730.93116280.1782

5740.92345760.1690

5750.91540.1602

5760.90700640.1517

5770.89827720.1436

5780.88920480.1358

5790.87978160.1284

5800.870.1212

5810.85986130.1143

5820.8493920.1078

5830.8386220.1015

5840.82758130.0956

5850.81630.0899

5860.80479470.0845

5870.7930820.0793

5880.7811920.0745

5890.76915470.0699

5900.7570.0655

5910.74475410.0613

5920.73242240.0574

5930.72000360.0537

5940.70749650.0502

5950.69490.0469

5960.68221920.0438

5970.66947160.0409

5980.65667440.0382

5990.64384480.0356

6000.6310.0332

6010.61815550.0309

6020.60531440.0287

6030.59247560.0267

6040.57963790.0249

6050.56680.0231

6060.55396110.0215

6070.54113720.0199

6080.52835280.0185

6090.51563230.0172

6100.5030.0159

6110.49046880.0148

6120.47803040.0137

6130.46567760.0127

6140.45340320.0118

6150.44120.0109

6160.429080.0101

6170.4170360.0093

6180.4050320.0086

6190.3930320.0080

6200.3810.0074

6210.36891840.0068

6220.35682720.0063

6230.34477680.0058

6240.33281760.0054

6250.3210.0050

6260.30933810.0046

6270.29785040.0042

6280.28659360.0039

6290.27562450.0036

6300.2650.0033

6310.25476320.0031

6320.24488960.0028

6330.23533440.0026

6340.22605280.0024

6350.2170.0022

6360.20816160.0021

6370.19954880.0019

6380.19115520.0018

6390.18297440.0016

6400.1750.0015

6410.16722350.0014

6420.15964640.0013

6430.15227760.0012

6440.14512590.0011

6450.13820.0010

6460.13150030.0009

6470.12502480.0009

6480.11877920.0008

6490.11276910.0007

6500.1070.0007

6510.10147620.0006

6520.096188640.0006

6530.091122960.0005

6540.086264850.0005

6550.08160.0005

6560.077120640.0004

6570.072825520.0004

6580.068710080.0004

6590.064769760.0003

6600.0610.0003

6610.057396210.0003

6620.053955040.0003

6630.050673760.0002

6640.047549650.0002

6650.044580.0002

6660.041758720.0002

6670.039084960.0002

6680.036563840.0002

6690.034200480.0002

6700.0320.0001

6710.029962610.0001

6720.028076640.0001

6730.026329360.0001

6740.024708050.0001

6750.02320.0001

6760.021800770.0001

6770.020501120.0001

6780.019281080.0001

6790.018120690.0001

6800.0170.0001

6810.015903790.0001

6820.014837180.0001

6830.013810680.0001

6840.012834780.0001

6850.011920.0001

6860.011068310.0000

6870.010273390.0000

6880.0095333110.0000

6890.0088461570.0000

6900.008210.0000

6910.0076237810.0000

6920.0070854240.0000

6930.0065914760.0000

6940.0061384850.0000

6950.0057230.0000

6960.0053430590.0000

6970.0049957960.0000

6980.0046764040.0000

6990.0043800750.0000

7000.0041020.0000

7010.0038384530.0000

7020.0035890990.0000

7030.0033542190.0000

7040.0031340930.0000

7050.0029290.0000

7060.0027381390.0000

7070.0025598760.0000

7080.0023932440.0000

7090.0022372750.0000

7100.0020910.0000

7110.0019535870.0000

7120.001824580.0000

7130.001703580.0000

7140.0015901870.0000

7150.0014840.0000

7160.0013844960.0000

7170.0012912680.0000

7180.0012040920.0000

7190.0011227440.0000

7200.0010470.0000

7210.00097658960.0000

7220.00091110880.0000

7230.00085013320.0000

7240.00079323840.0000

7250.000740.0000

7260.00069008270.0000

7270.000643310.0000

7280.0005994960.0000

7290.00055845470.0000

7300.000520.0000

7310.00048391360.0000

7320.00045005280.0000

7330.00041834520.0000

7340.00038871840.0000

7350.00036110.0000

7360.00033538350.0000

7370.00031144040.0000

7380.00028916560.0000

7390.00026845390.0000

7400.00024920.0000

7410.00023130190.0000

7420.00021468560.0000

7430.00019928840.0000

7440.00018504750.0000

7450.00017190.0000

7460.00015977810.0000

7470.00014860440.0000

7480.00013830160.0000

7490.00012879250.0000

7500.000120.0000

7510.00011185950.0000

7520.00010432240.0000

7530.00009733560.0000

7540.00009084590.0000

7550.00008480.0000

7560.00007914670.0000

7570.0000738580.0000

7580.0000689160.0000

7590.00006430270.0000

7600.000060.0000

7610.00005598190.0000

7620.00005222560.0000

7630.00004871840.0000

7640.00004544750.0000

7650.00004240.0000

7660.0000395610.0000

7670.00003691510.0000

7680.00003444870.0000

7690.00003214820.0000

7700.000030.0000

7710.00002799120.0000

7720.00002611360.0000

7730.00002436020.0000

7740.00002272460.0000

7750.00002120.0000

7760.00001977860.0000

7770.00001845280.0000

7780.00001721690.0000

7790.00001606460.0000

7800.000014990.0000

&A

Page &P

Sheet1

&A

Page &P

V(l)

V'(l)

V(l)

V(l)

hullmhossz, nm

rel. rzkenysg

Fnyhasznosts vltozsa L, lmpa: cd/m2 Na cd/m2 HgFotopos:0,050,05Mezopos:0,0280,061Szkotopos:0,010,07 Klnbsg vilgossg szlelet, reakci sebessg s rszletfelismers kztt!

Belstri ltsi feladatMunkavgzshez a szabvnyos fotometriai rendszer megfelel lerst biztost

Vilgossg fnysrsg sszefggsSznes fny vilgosabbnak tnik: Helmholz-Kohlrausch hatsEquivalens fnysrsg fogalmaL**=log(L)+CC=0,256 - 0,184y - 2,527xy + + 4,656x3y + 4,657xy4

Azonos fny-srsg esetn szlelt vilgossg

A vilgossg pszichofizikai korreltumaA jelenlegi fotometriai rendszerben nincsen ilyen mennyisgA vilgossg informcit ms neurlis hlzat tovbbtja az agyba, mint amely a finom rszletek felismerst biztostjaTovbbi bonyodalmak: tgassg, rdekessg stb.: eszttikai kategrik

Lts az ton2-os fovelis nzskor V(l) rvnyesperiferilis nzshez V10(l) -t kell definilni + plcika kzremkds

Az tjelz tbla olvassaTblt fovelisan ltjuk, V(l) rvnyesAkadlyt parafove-lisan ltjuk:V10(l) + plcika lts

A reakciid vltozsa a fnysrsggel klnbz fnyforrsok esetn

Kt azonos fotometriai rtk sznkp

Kprzs figyelembevtele Kpernys munkahelyenAblak kprztat hatsaltalnos mestersges vilgtsSzomszdos munkahely helyi vilgtsa Gpkocsi vezets sorn fellp hatsokA kprzs sznkpi rzkenysge

ltalnos vilgts kprztat hatsa

Kpernys munkahely optimlis fnysrsg (cd/m2) viszonyai

Kt munkahelyes szoba elrendezs

Napi letritmus szablyoz hormonok s hatsuk

A vilgts lettani hatsaiA fny hatsa a napi letritmusra

Melatonin-elnyoms sznkpi hatsfggvnye

A szn fogalmaA szn fogalmt kiegszts nlkl ne hasznljuk! - inger vagy szleletsznszlelet - pszicholgiai fogalomszninger - pszichofizikai fogalomradiometria - fizikai fogalomfotometria - a szninger egyik dimenzija

Sznszlelet - sznmrsa szn szlelet, agyunkban keletkezikszninger, mely az szleletet kivltja, szmszeren lerhat, de csak adott kls krlmnyek kzt ad azonos szleletetszninger-megfeleltetsszninger kelts: additv sznkevers : monitorszubtraktv sznkevers: sznes film, nyomtat

A sznmeghatrozs trtnetblYoung (1773-1829) Helmholtz (1821-1894) 3 szn-lts

Ellenszn elmletEwald Hering (1834-1918):fehr-feketevrs-zldSrga-kk ellensznek

SznkeversAdditv szubtraktv sznkevers

Az additv sznegyeztets alapksrlete

Grassmann trvnyek Minden szninger ltrehozhat 3 egymstl fggetlen szninger additv keverkeknt. A fggetlensg alatt azt rtjk, hogy a hrom szninger kzl egyik sem hozhat ltre a msik kett additv keverkeknt.Sznegyezs ltrehozshoz csak a vlasztott alapszninger a lnyeges, a sznkpi sszettele nem. Az egyes szningerek erssgnek folyamatos vltoztatsnak hatsra az ered szninger is folyamatosan vltozik.

Additv szningerkeversAdditivits: HaC1R1(R)+G1(G)+B1(B)C2R2(R)+G2(G)+B2(B)akkorCR(R)+G(G)+B(B), s C C1 + C2ahol R= R1+ R2, G= G1+ G2, B= B1+ B2

Additv szningerkeversProporcionalitsHaC1R1(R)+G1(G)+B1(B)akkoraC1aR1(R)+aG1(G)+aB1(B)

Szninger-megfeleltets,szninger sszetevkR = SR() G = SG() B = SB()

A SZNINGER-METRIKA ALAPJAIAdditv sznegyeztets Fennll adisztributivits, additivits s proporcionalits trvnye sszehasonlt szningerek:vrs:700 nmzld:546 nmkk:435 nm

Az additv sznegyeztets alapksrlete

Sznigermegfeleltet ksrlet

CIE szningermetrika, 1A szninger-egyenlet felttelei:2 osztott ltmez, kzponti fixls, stt krnyezet.Alapszningerek (megfeleltet, refrencia, primr ingerek, -stimulusok): vrs (R): 700 nm, zld (G): 546,1 nm,kk (B): 435,8 nm

CIE szningermetrika, 2A szninger-egyenlet: Alapszningerek mennyisgei:a 3 alapszninger egysgnyi mennyisgnek additv keverke az equienergetikus szningerrel azonos szleletet keltsen.

R, G, B alapszningerek fnysrsge:

vss:

1,0000

cd/m2

= 1 j R egysg

zld:

4,5907

cd/m2

= 1 j G egysg

kk:

0,0601

cd/m2

= 1 j B egysg

Szninger-megfeleltet fggvnyek (colour matching functions)

Chart3

0.00003-0.000010.00117

0.00005-0.000020.00189

0.0001-0.000040.00359

0.00017-0.000070.00647

0.0003-0.000140.01214

0.00047-0.000220.01969

0.00084-0.000410.03707

0.00139-0.00070.06637

0.00211-0.00110.11541

0.00266-0.001430.18575

0.00218-0.001190.24769

0.00036-0.000210.29012

-0.002610.001490.31228

-0.006730.003790.3186

-0.012130.006780.3167

-0.018740.010460.31166

-0.026080.014850.29821

-0.033240.019770.27295

-0.039330.025380.22991

-0.044710.031830.18592

-0.049390.039140.14494

-0.053640.047130.10968

-0.058140.056890.08257

-0.064140.069480.06246

-0.071730.085360.04776

-0.08120.105930.03688

-0.089010.12860.02698

-0.093560.152620.01842

-0.092640.174680.01221

-0.084730.191130.0083

-0.071010.203170.00549

-0.053160.210830.0032

-0.031520.214660.00146

-0.006130.214870.00023

0.022790.21178-0.00058

0.055140.20588-0.00105

0.09060.19702-0.0013

0.12840.18522-0.00138

0.167680.17087-0.00135

0.207150.15429-0.00123

0.245260.1361-0.00108

0.279890.11686-0.00093

0.309280.09754-0.00079

0.331840.07909-0.00063

0.344290.06246-0.00049

0.347560.04776-0.00038

0.339710.03557-0.0003

0.322650.02583-0.00022

0.297080.01828-0.00015

0.263480.01253-0.00011

0.226770.00833-0.00008

0.192330.00537-0.00005

0.159680.00334-0.00003

0.129050.00199-0.00002

0.101670.00116-0.00001

0.078570.00066-0.00001

0.059320.000370

0.043660.000210

0.031490.000110

0.022940.000060

0.016870.000030

0.011870.000010

0.0081900

0.0057200

0.004100

0.0029100

0.002100

0.0014800

0.0010500

0.0007400

0.0005200

0.0003600

0.0002500

0.0001700

0.0001200

0.0000800

0.0000600

0.0000400

0.0000300

0.0000100

000

R(l)

G(l)

B(l)

r(l)

g(l)

b(l)

hullmhossz, nm

rgb sznegyeztet fg.

Sheet1

xColour-matching functionsChromaticity coordinates

(nm)r(l)g(l)b(l)g()b()r()

3800.00003-0.000010.001170.0272-0.01150.9843

3850.00005-0.000020.001890.0268-0.01140.9846

3900.0001-0.000040.003590.0263-0.01140.9851

3950.00017-0.000070.006470.0256-0.01130.9857

4000.0003-0.000140.012140.0247-0.01120.9865

4050.00047-0.000220.019690.0237-0.01110.9874

4100.00084-0.000410.037070.0225-0.01090.9884

4150.00139-0.00070.066370.0207-0.01040.9897

4200.00211-0.00110.115410.0181-0.00940.9913

4250.00266-0.001430.185750.0142-0.00760.9934

4300.00218-0.001190.247690.0088-0.00480.996

4350.00036-0.000210.290120.0012-0.00070.9995

440-0.002610.001490.31228-0.00840.00481.0036

445-0.006730.003790.3186-0.02130.0121.0093

450-0.012130.006780.3167-0.0390.02181.0172

455-0.018740.010460.31166-0.06180.03451.0273

460-0.026080.014850.29821-0.09090.05171.0392

465-0.033240.019770.27295-0.12810.07621.0519

470-0.039330.025380.22991-0.18210.11751.0646

475-0.044710.031830.18592-0.25840.1841.0744

480-0.049390.039140.14494-0.36670.29061.0761

485-0.053640.047130.10968-0.520.45681.0632

490-0.058140.056890.08257-0.7150.69961.0154

495-0.064140.069480.06246-0.94591.02470.9212

500-0.071730.085360.04776-1.16851.39050.778

505-0.08120.105930.03688-1.31821.71950.5987

510-0.089010.12860.02698-1.33711.93180.4053

515-0.093560.152620.01842-1.20761.96990.2377

520-0.092640.174680.01221-0.9831.85340.1296

525-0.084730.191130.0083-0.73861.66620.0724

530-0.071010.203170.00549-0.51591.47610.0398

535-0.053160.210830.0032-0.33041.31050.0199

540-0.031520.214660.00146-0.17071.16280.0079

545-0.006130.214870.00023-0.02931.02820.0011

5500.022790.21178-0.000580.09740.9051-0.0025

5550.055140.20588-0.001050.21210.7919-0.004

5600.09060.19702-0.00130.31640.6881-0.0045

5650.12840.18522-0.001380.41120.5932-0.0044

5700.167680.17087-0.001350.49730.5067-0.004

5750.207150.15429-0.001230.57510.4283-0.0034

5800.245260.1361-0.001080.64490.3579-0.0028

5850.279890.11686-0.000930.70710.2952-0.0023

5900.309280.09754-0.000790.76170.2402-0.0019

5950.331840.07909-0.000630.80870.1928-0.0015

6000.344290.06246-0.000490.84750.1537-0.0012

6050.347560.04776-0.000380.880.1209-0.0009

6100.339710.03557-0.00030.90590.0949-0.0008

6150.322650.02583-0.000220.92650.0741-0.0006

6200.297080.01828-0.000150.94250.058-0.0005

6250.263480.01253-0.000110.9550.0454-0.0004

6300.226770.00833-0.000080.96490.0354-0.0003

6350.192330.00537-0.000050.9730.0272-0.0002

6400.159680.00334-0.000030.97970.0205-0.0002

6450.129050.00199-0.000020.9850.0152-0.0002

6500.101670.00116-0.000010.98880.0113-0.0001

6550.078570.00066-0.000010.99180.0083-0.0001

6600.059320.0003700.9940.0061-0.0001

6650.043660.0002100.99540.0047-0.0001

6700.031490.0001100.99660.0035-0.0001

6750.022940.0000600.99750.00250

6800.016870.0000300.99840.00160

6850.011870.0000100.99910.00090

6900.00819000.99960.00040

6950.00572000.99990.00010

7000.004100100

7050.0029100100

7100.002100100

7150.0014800100

7200.0010500100

7250.0007400100

7300.0005200100

7350.0003600100

7400.0002500100

7450.0001700100

7500.0001200100

7550.0000800100

7600.0000600100

7650.0000400100

7700.0000300100

7750.0000100100

780000100

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r(l)

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hullmhossz, nm

rgb sznegyeztet fg.

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X,Y,Z szninger tr: CIE 1931 szabvnyos szninger-szlel

1. Az equienergetikus sznkp szninger-sszetevi azonosak legyenek.

2. A fotometriai informcit egyetlen szninger-sszetev, (Y), hordozza (ha sugrsrsget mrtnk, gy a fnysrsget kapjuk). Azaz az Y(() = V(SYMBOL 108 \f "Symbol").

3.Az sszes relis szninger szninger-sszetevi a szningertr els negyedben fekdjenek, s olyan kicsinyek legyenek, amennyire csak lehetsges.

RGB - XYZ matrix transformci

Az inverse transformaci:

A CIE 1931 szninger-megfeleltet fggvnyek

CIE XYZ trirtimulusos rtk-ek (szninger-sszetevk), nvilgtk (fnyforrsok) esetna szninger-megfeleltet fggvnyekAz fggvny azonos a V(l) fggvnnyel, k = 683 lm/W

szn(inger-) vagy sznessgi koordintk

Szn(inger-) vagy sznessgi diagramR, G, B: katdsugr-csves monitor alap-szningereiPlanck sugrzk vonala

Chart2

0.52668099380.41329645890.52668099380.52668099380.4132964589

0.47699813810.41367583960.47699813810.47699813810.4769981381

0.44753864030.40742930070.44753864030.44753864030.4475386403

0.43693447610.40407514620.43693447610.43693447610.4040751462

0.3804423640.37674858760.3804423640.3804423640.3767485876

0.34510343110.35160985040.34510343110.34510343110.3516098504

0.32208503210.3317550570.32208503210.32208503210.3220850321

0.30637510620.31651405950.30637510620.30637510620.3165140595

0.29518825230.30476653430.29518825230.29518825230.2951882523

0.28063446040.28828888960.28063446040.28063446040.2882888896

0.25645757610.2576313240.25645757610.25645757610.257631324

0.24558646190.24239686240.24558646190.24558646190.2423968624

0.24258241090.2380275470.24258241090.24258241090.238027547

0.640.640.330.640.64

0.30.30.60.30.3

0.150.150.060.150.15

0.640.640.330.640.64

0.0050.17410.17410.17410.1741

0.0050.1740.1740.1740.174

0.00490.17380.17380.17380.1738

0.00490.17360.17360.17360.1736

0.00480.17330.17330.00480.1733

0.00480.1730.1730.1730.173

0.00480.17260.17260.17260.1726

0.00480.17210.17210.17210.1721

0.00510.17140.17140.17140.1714

0.00580.17030.17030.17030.1703

0.00690.16890.16890.16890.1689

0.00860.16690.16690.16690.1669

0.01090.16440.16440.16440.1644

0.01380.16110.16110.16110.1611

0.01770.15660.15660.01770.1566

0.02270.1510.1510.1510.151

0.02970.1440.1440.1440.144

0.03990.13550.13550.13550.1355

0.05780.12410.12410.12410.1241

0.08680.10960.10960.08680.1096

0.13270.09130.09130.09130.0913

0.20070.06870.06870.06870.0687

0.2950.04540.04540.04540.0454

0.41270.02350.02350.02350.0235

0.53840.00820.00820.53840.0082

0.65480.00390.00390.00390.0039

0.75020.01390.01390.75020.0139

0.8120.03890.03890.03890.0389

0.83380.07430.07430.83380.0743

0.82620.11420.11420.11420.1142

0.80590.15470.15470.80590.1547

0.78160.19290.19290.19290.1929

0.75430.22960.22960.75430.2296

0.72430.26580.26580.26580.2658

0.69230.30160.30160.69230.3016

0.65890.33730.33730.33730.3373

0.62450.37310.37310.62450.3731

0.58960.40870.40870.40870.4087

0.55470.44410.44410.55470.4441

0.52020.47880.47880.47880.4788

0.48660.51250.51250.48660.5125

0.45440.54480.54480.54480.5448

0.42420.57520.57520.42420.5752

0.39650.60290.60290.60290.6029

0.37250.6270.6270.37250.627

0.35140.64820.64820.64820.6482

0.3340.66580.66580.66580.6658

0.31970.68010.68010.68010.6801

0.30830.69150.69150.30830.6915

0.29930.70060.70060.70060.7006

0.2920.70790.70790.70790.7079

0.28590.7140.7140.7140.714

0.28090.7190.7190.7190.719

0.2770.7230.7230.7230.723

0.2740.7260.7260.2740.726

0.27170.72830.72830.72830.7283

0.270.730.730.730.73

0.26890.73110.73110.73110.7311

0.2680.7320.7320.7320.732

0.26730.73270.73270.73270.7327

0.26660.73340.73340.73340.7334

0.2660.7340.7340.7340.734

0.26560.73440.73440.73440.7344

0.26540.73460.73460.73460.7346

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.26530.73470.73470.73470.7347

0.0050.17410.17410.17410.1741

2000 K

4000 K

7000 K

100 000 K

400 nm

450 nm

475 nm

500 nm

510 nm

520 nm

540 nm

560 nm

580 nm

600 nm

650 nm

B

G

R

x

y

Sheet1

Txyy

T(Planck)20000.52668099380.41329645890.4132964589

25000.47699813810.4136758396

28560.44753864030.4074293007

30000.43693447610.40407514620.4040751462

40000.3804423640.37674858760.3767485876

50000.34510343110.35160985040.3516098504

60000.32208503210.331755057

70000.30637510620.31651405950.3165140595

80000.29518825230.3047665343

100000.28063446040.28828888960.2882888896

200000.25645757610.2576313240.257631324

500000.24558646190.24239686240.2423968624

1000000.24258241090.2380275470.238027547

CCIR7090.640.33

priaries0.30.6

Hunt:Repr.0.150.06

p.,5000.640.33

3800.17410.005

3850.1740.005

3900.17380.0049

3950.17360.0049

4000.17330.00480.0048

4050.1730.0048

4100.17260.0048

4150.17210.0048

4200.17140.0051

4250.17030.0058

4300.16890.0069

4350.16690.0086

4400.16440.0109

4450.16110.0138

4500.15660.01770.0177

4550.1510.0227

4600.1440.0297

4650.13550.0399

4700.12410.0578

4750.10960.08680.0868

4800.09130.1327

4850.06870.2007

4900.04540.295

4950.02350.4127

5000.00820.53840.5384

5050.00390.6548

5100.01390.75020.7502

5150.03890.812

5200.07430.83380.8338

5250.11420.8262

5300.15470.80590.8059

5350.19290.7816

5400.22960.75430.7543

5450.26580.7243

5500.30160.69230.6923

5550.33730.6589

5600.37310.62450.6245

5650.40870.5896

5700.44410.55470.5547

5750.47880.5202

5800.51250.48660.4866

5850.54480.4544

5900.57520.42420.4242

5950.60290.3965

6000.6270.37250.3725

6050.64820.3514

6100.66580.334

6150.68010.3197

6200.69150.30830.3083

6250.70060.2993

6300.70790.292

6350.7140.2859

6400.7190.2809

6450.7230.277

6500.7260.2740.274

6550.72830.2717

6600.730.27

6650.73110.2689

6700.7320.268

6750.73270.2673

6800.73340.2666

6850.7340.266

6900.73440.2656

6950.73460.2654

7000.73470.2653

7050.73470.2653

7100.73470.2653

7150.73470.2653

7200.73470.2653

7250.73470.2653

7300.73470.2653

7350.73470.2653

7400.73470.2653

7450.73470.2653

7500.73470.2653

7550.73470.2653

7600.73470.2653

7650.73470.2653

7700.73470.2653

7750.73470.2653

7800.73470.2653

3800.17410.005

Sheet1

2000 K

4000 K

7000 K

100 000 K

400 nm

450 nm

475 nm

500 nm

510 nm

520 nm

540 nm

560 nm

580 nm

600 nm

650 nm

B

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x

y

Sheet2

2000 K

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A sznes-sgi dia-gram sznes brja

Msodlagos sugrzk (nem nvilgtk) sznmrse aholS(l) a megvilgt sugrforrs sznkpi teljestmnyeloszlsar(l) a minta spektrlis reflexija

Szabvnyos sugrzseloszlsok s fnyforrsokCIE A sugrzseloszls CIE D65 sugrzseloszls tovbbi nappali sugrzseloszlsok, grafikus iparban: D50CIE A fnyforrsCIE D65 szimultor

CIE A sugrzseloszls ahol: c0 = 299792458 +/- 1,2 m/s

CIE A- s D65 sugrzseloszls sznkpe

CIE 1931 s 1964 szningermr rendszer 2-os ltszg: CIE 193110-os ltszg: CIE 1964X10(), Y10(), Z10() szninger sszetevk szmtsa

CIE 1931 s 1964 szabvnyos szningermr szlelk

MacAdam ellipszisekThe CIE x,y diagram szninger-megkln-bztetsi ellipszisek-kel

Egyenletes sznessgi sklj diagram u' = 4X / (X+15Y+3Z) = 4x / (-2x+12y+3)v' = 9Y / (X+15Y+3Z) = 9y / (-2x+12y+3)u = u' , v = (2/3)v'CIE 1976 u,v sznezeti szg:huv = arctg[(v' - v'n) / (u' - u'n)] = v* / u*CIE 1976 u,v teltettsg:suv = 13[(u' - u'n)2 + (v' - v'n)2]1/2

u,v sznessgi diagram

tltszatlan, nem fmes anyagbees fnytkrs reflexidiffz reflexiA trgy szne a diffz reflexibl addik

Fellet (test) szningerek mrseA visszavers etalonja:Tkletesen visszaver diffzorA szrt visszaversi tnyez msodlagos etalonjai Prselt BaSO4 por-tabletta halon" fehr etalonSzabvnyos mrsi geometrik45/merleges irnytott visszaversi tnyez (reflectance factor)diffz/merleges visszaversi tnyez, tkrs komponenst belemrve/kikszblvemerleges/diffz, visszaversi tnyez, tkrs komponenst belemrve/kikszblve

Magasabbrend szntanA Hering fle opponens mechanizmus figyelembevtele: CIELAB sznrendszerSzni thangolds: adaptls a kpernyhzSznvisszaadsi kutatsok (Sndor N.)

CIE 1976 (L*a*b*) szn(inger)tr