l13 opti517 summary - university of arizonasummary of formulas summary of optical systems lens...
TRANSCRIPT
![Page 1: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/1.jpg)
Prof. Jose Sasian
Summary of formulasSummary of optical systems
Lens Design OPTI 517
![Page 2: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/2.jpg)
Prof. Jose Sasian
Imaging: central projection
X a X b Y c Z da X b Y c Z d
'
1 1 1 1
0 0 0 0
Y a X b Y c Z da X b Y c Z d
'
2 2 2 2
0 0 0 0
Z a X b Y c Z da X b Y c Z d
'
3 3 3 3
0 0 0 0
mZ f
11 \
Zf m 1 1
Zf
m'' 1
m Zf
1 ''
fZ
fZ
'' 1
.
Collinear transformationNewtonian equationsGaussian equationsCardinal points
![Page 3: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/3.jpg)
Prof. Jose Sasian
Optical system conceptual model
![Page 4: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/4.jpg)
Prof. Jose Sasian
Wave aberration function
2 2000 111 020 200
4 3 2 2 2040 131 222
2 2 3 4220 311 400
( , ) cos( )
cos( ) cos ( )
cos( )
W H W W H W W H
W W H W H
W H W H W H
![Page 5: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/5.jpg)
Prof. Jose Sasian
![Page 6: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/6.jpg)
Prof. Jose Sasian
Chromatic coefficients
0201
1 /2
j
j j ji
W A n n y
1111
/j
j j ji
W A n n y
For a system of j surfaces
1111
j
i i
W yy
2020
1
12
j
i i
W y
For a system of thin lenses in air
![Page 7: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/7.jpg)
Prof. Jose Sasian
Aspheric contributions
aW81
040 0LC
ayyW
21
131
ayyW
3
311 21
0TC
ayyW
2
222 21
nyca 432
nyAa 448
2
22014yW ay
![Page 8: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/8.jpg)
Prof. Jose Sasian
Stop Shifting0IS
III SyyS
IIIIII SyyS
yyS
2
2
0IVS
IIIIIIIVV SyyS
yySS
yyS
32
33
0LC
LT CyyC
![Page 9: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/9.jpg)
Prof. Jose Sasian
Structural coefficients
![Page 10: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/10.jpg)
Prof. Jose Sasian
Structural coefficients:Thin lens (stop at lens)
DCYBXYAXySI 2234
41
2 212IIS Жy EX FY
2IIIS Ж
2 1IVS Ж
n
0VS
2 1LC y
0TC
212
nnnA
2
2
1nnD
1
14
nnnB
11
nnnE
nnC 23
nnF 12
12
12
21
21
rrrr
cccc
X
uuuu
mmY
''
11
))(1( 1 xccncn
![Page 11: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/11.jpg)
Prof. Jose Sasian
Miscellaneous
1 1
1 1n nn nn nrk k' '''
1
'k n
Petzval sum:
For a system of thin lenses in air:
DistortionH hh
100
![Page 12: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/12.jpg)
Prof. Jose Sasian
Miscellaneous
ns
ns
n I n IRs
''
' cos ' cos
n It
n It
n I n IRt
' cos ''
cos 'cos ' cos2 2
Coddington equations
uu
UU'
sinsin '
Sine condition
![Page 13: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/13.jpg)
Prof. Jose Sasian
Some angular quantitiesThe mnemonic 12345
• Index of air ~1.0003• One arc-minute ~0.0003• One arc second ~0.000005 • 15 degrees ~1/4• One arc minute ~healthy eye resolution• Half degree ~Sun, Moon angular subtend• +/- 23.4 degrees FOV of 35 mm camera
with 50 mm lens.
![Page 14: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/14.jpg)
Prof. Jose Sasian
Mangin mirrorInvented in 1876 by Alphonse Mangin in France
Actually described by Newton in his description about makingthe mirrors for his celebrated telescope
Mirror surface
A Mangin mirror uses a lens with one surface coated to be a mirror.
Mangin mirrors are used to reflect light from the light sources in lighthouses without the problem of tarnishing due to the salty
environment.Mangin mirrors are variable aberration generators for a given
optical power. They have very useful aberration correcting properties. Both mono-chromatic and chromatic.
![Page 15: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/15.jpg)
Prof. Jose Sasian
Telescopes Objectives
• Achromatic and aplanatic doublet • Apochromatic and aplanatic
doublet/triplet• Schupmann medial single glass
objective
![Page 16: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/16.jpg)
Prof. Jose Sasian
Review of telescopes
• Cassegrain• Mersenne• Schmidt camera• Maksutov• Houghton
• Paul-Baker• Offner relay• Meinel’s two
stage optics
![Page 17: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/17.jpg)
Prof. Jose Sasian
Cassegrain type
•True Cassegrain•Ritchey-Chretien: aplanatic•Dall-Kirkham: spherical secondary•Pressman-Carmichel; spherical primary•Olivier Guyon (no diffraction rings)
![Page 18: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/18.jpg)
Prof. Jose Sasian
Camera Schmidt
Aspheric plate at mirror center of curvature A-bar=0Stop aperture at aspheric plateNote symmetry about mirror CCNo spherical aberrationNo comaNo astigmatism.Anastigmatic over a wide field of view!Satisfies Conrady’s D-d sum
![Page 19: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/19.jpg)
Prof. Jose Sasian
Maksutov: Meniscus lens
•Strong meniscus shape corrects spherical aberration•Coma by the position of the stop and meniscus lens•Chromatic change of focus by the meniscus lens thickness•Single glass achromat
2020
1
12
j
i i
W y
![Page 20: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/20.jpg)
Prof. Jose Sasian
Houghton: nearly afocal doublet
Same glass doubletSeveral solutionsCorrection for spherical aberration, coma, and chromatic aberrationsCorrection for astigmatismAll spherical surfaces
![Page 21: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/21.jpg)
Prof. Jose Sasian
Merssene afocal systemAnastigmatic
Confocal paraboloids
![Page 22: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/22.jpg)
Prof. Jose Sasian
Image and Pupil Aberration relationships
![Page 23: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/23.jpg)
Prof. Jose Sasian
Paul-Baker systemAnastigmatic-Flat field
AnastigmaticParabolic primarySpherical secondary and tertiaryCurved fieldTertiary CC at secondary
Anastigmatic, Flat fieldParabolic primaryElliptical secondary Spherical tertiaryTertiary CC at secondary
![Page 24: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/24.jpg)
Prof. Jose Sasian
Meinel’s two stage optics concept (1985)
Large DeployableReflector
Second stage correctsfor errors of first stage;fourth mirror is at the
exit pupil.
![Page 25: L13 OPTI517 Summary - University of ArizonaSummary of formulas Summary of optical systems Lens Design OPTI 517. Prof. Jose Sasian ... The mnemonic 12345 • Index of air ~1.0003 •](https://reader035.vdocuments.net/reader035/viewer/2022070703/5e7aaa9eb9e67567cc3a291e/html5/thumbnails/25.jpg)
Prof. Jose Sasian
Aplanatic, Anastigmatic, Flat-field, Orthoscopic (free from distortion, rectilinear, JS 1987)
Spherical primary telescope.The quaternary mirror is near the exit pupil. Spherical aberration and
Coma are then corrected with a single aspheric surface. The Petzval sum is zero.If more aspheric surfaces are allowed then more aberrations
can be corrected.