it d tiintroduction degenerate four wave mixing ... · 11. non-linear optical techniques • it d...

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11. Non-linear optical techniques It d ti Introduction Degenerate four wave mixing DFWM Degenerate four wave mixing, DFWM Polarization Spectroscopy, PS IR measurement (IRPS, IR-DWM) (Stimulated Emission, SE)

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Page 1: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

11. Non-linear optical techniques

I t d ti• Introduction

• Degenerate four wave mixing DFWM• Degenerate four wave mixing, DFWM

• Polarization Spectroscopy, PSp py,

• IR measurement (IRPS, IR-DWM)

• (Stimulated Emission, SE)

Page 2: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Diagnostic dilemma:• LIF

High sensiti it– High sensitivity, – 2D imaging, – Spontaneous technique (sensitive to strong background)Spontaneous technique (sensitive to strong background)

• CARS– Coherent techniqueCoherent technique– One-point measurements– Low sensitivity

Need: A coherent technique with high q gsensitivity and 2D imaging possibility

Candidates:DFWM, PS and SE (one point)

Page 3: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Nonlinear opticsThus far, the induced polarization of molecules has been assumedto depend linearly on the applied electromagnetic field. This isp y pp ghowever only valid for incident radiation of low intensity.

Generally the induced polarization is a nonlinear function of theGenerally, the induced polarization is a nonlinear function of theapplied electromagnetic field:

.....321 PPPP

For gases hich are isotropic (in ersion .....332210 EEEP

For gases, which are isotropic (inversion

symmetry), the even order polarizations vanish

DFWM and PS are four-wave mixing processes based on

Joakim Bood

the nonlinear response via the third-order susceptility (in the same way as CARS.

Page 4: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

DFWM

Can be described in terms of a grating phenomenaCan be described in terms of a grating phenomena

laser frequency tuned to an atomic/molecular resonance, laser frequency, tuned to an atomic/molecular resonance

I I I N 2 2I I I NDFWM P Pr

Page 5: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Experimental set-upExperimental set-up

a) b)

Page 6: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Detection of ammonia and OHDetection of ammonia and OH

1.0E+05

6.0E+04

8.0E+04

ty [a

u]

2.0E+04

4.0E+04

Inte

nsi

0.0E+00305.0 305.2 305.7 306.2 306.6 307.1 307.6 308.0

I

Wavelength [nm]

Page 7: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D imaging2D imaging

O i h

Beam splitter

Sheet-shapedpump beams

Opaque screen with aperture

Probe beamLens

Flame

Si l t b d t t dSignal to be detected

Page 8: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D OH image using DFWM2D OH image using DFWM

y (c

ount

s)

r (a.u.)

700080009000100001100012000

gnal

inte

nsity

ight a

bove

burne

r (

200030004000500060007000

Distance across the flame (a.u.)

Si Heig

010002000

P. Ewart et al.

Page 9: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

DFWM application

P. Ewart et al.

Page 10: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

DFWM summaryDFWM summary

• Coherent technique with high sensitivity (ppm)q g y (pp )

• 2D imaging possible

• Complex theory

• Advanced procedures for laser beam alignement

• Problem with background scattering

Page 11: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Polarization spectroscopyA pump beam induces an optical anisotropy (Birefringence and Dicroism),

which is measured as a change in the polarization of the probe beamwhich is measured as a change in the polarization of the probe beam

PolarizerLaser

Polarizer

D t tDetector

Fresnelrhomb

Analyzer

prpJJJJt IIBNI 220 )(

Page 12: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

PS signal dependence on crossing anglePS signal dependence on crossing angle

Page 13: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Scanning experiments (NO)Scanning experiments (NO)

Theory

Exp.

Page 14: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Two dimensional imagingg g• A strong linearly polarized pump beam formed to a narrow

sheet of light crosses an unfocussed weaker probe beam in g pthe flame

• The intersection volume imaged onto an image intensified CCD camera

P b I i l I i lPump beam Imaging lens Imaging lens CCD array

P b b

Aperture

Probe beam

Polarizer AnalyzerFlame

pPolarizer Analyzer

SIGNAL DISTRIBUTION IN ONE PLANE IN THE FLAME RECORDED

Page 15: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Imaging of OH and NO in flamesg g

Images of OH signal NO PS in a g gdistributions recorded in a

CH4/O2 flameH2/N2O flame

Page 16: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Two-photon PS examplified by H atom detection

Conventional approach

New approach

Page 17: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Experimental set-upExperimental set up

Page 18: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Single shot 2D visualization of HSingle shot 2D visualization of H

Page 19: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Temperature measurementsTemperature measurements

)/)(exp()12(0 kThcJEJN )/)(exp()12( kThcJEJN r

kThcJE

BJI r

JJJJ

t )()12(

ln

,,

prpJJJJt IIBNI 220 )( pp

Page 20: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Temperature measurementsTemperature measurements

N d f i l h t if ibl 2D T• Need for single shot, if possible, 2D T visualization

• Two line excitation where T is given by;• Two-line excitation where T is given by;

T x y

kB J B J I x y I x y

( , )( ) /

ln ( ) / ( ) ln ( , ) / ( , )

22 2 1 2 1

1 2

1 1 1 2 2 2 1 2

1 1 1 2 2 2 1 2

Page 21: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D temperature imaging2D temperature maps can be extracted from signal distribution images, which are recorded with the laser wavelength tuned to g gresonance with two different rotational lines

Single pulse two-dimensional temperature visualization

Grating PumpGratingAnalyzer

Pumpbeam

2 beam

Flame

Polarizer

FlameCCD

• dual wavelength dye laser for excitation• dual-wavelength dye laser for excitation• diffraction grating for spatial separation of the two images• image-intensified CCD camera for image recording

Page 22: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D temperature imaging

Challenges to achieve high single shot precision:

• Stable dye laser beamprofiles, or proper referencing

Page 23: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Polarization spectroscopy: SummaryPolarization spectroscopy: Summary

Hi h iti it ( ) High sensitivity, (ppm)

Good spatial resolution by crossed laser beamsp y

2D imaging possibilities

Two-photon (2D) experiments demonstrated

Rather complex theoryRather complex theory

Possible problems with pressure induced birefringences

(e.g. from windows in an engine)

Sensitivity limited by extinction ratio of polarizersy y p

Page 24: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Why measurements in the IR spectral region?region?

• In the UV/vis, only a limited number of species (OH,, y p ( ,CH, NH, C2, NO, CH2O, ..) can be probed withresonant LIF, DFWM, PS.

• Many combustion important species CO2, CO, H2O,N O C H CH and other HC molecules or radicalsN2O, C2H2, CH4 and other HC molecules or radicals,pose no accessible single-photon electronictransition in the UV/visible, but have strongb ti i th id i f d (2 5 ) iabsorption in the mid-infrared (2-5μm) via ro-

vibrational transition.

• Spatially and temporally resolved measurementsneeded

Page 25: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IRPS/IRDFWM

• ChallengesChallenges– Spectral interferences, especially in

combustion environments where many species y pexist in a narrow spectral range

– Doing non-linear experiments with invisible laserbeamslaserbeams

• Opportunity• Opportunity– Probing sensitively many important

combustion intermediate species whichcombustion intermediate species which otherwise are inaccessible with non-intrusivespatially resolved methods

Page 26: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Typical IRPS experimental setup

1Laser system: DFM in LiNbO3 crystal, 1~3 mJ at 2-4 µm, 0.03 cm-1

LN cooled InSb detector

Page 27: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IRPS spectra of CH4 and C2H6

1.93% of CH4 and 0.57% of C2H6 mixed with Ar at 1 atm pressure.

Page 28: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Methane flame detection

(a)Q

J

Cold flow

P(4) P(3) P(2) P(1)

(b)

2 mm

(c)

6 56.5 mm

Page 29: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Detection of acetylene and methyl with IRPS in a CH4/O2 (50 mbar =1 5) flameIRPS in a CH4/O2 (50 mbar, 1.5) flame

• Excitation scan of P(24) and P(23)

C2H2 lines in a gas flow

• Calculated IRPS spectra of hot

methane

• Excitation scan above the burnerExcitation scan above the burner– at 1 mm abover the burner

– at 2 mm abover the burner

– at 3 mm abover the burner

– at 5 mm abover the burner

• Acetylene C H detected• Acetylene, C2H2, detected

• Methyl, CH3, detected

Li et al. 31st Comb Symp.

Page 30: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IRPS detection if C2H2 in sooty flames2 2 y

IRPS it ti t i lib ti )IRPS excitation spectra in calibration gas: a) and flames: b) Ф = 1.00, c) Ф = 1.50 and d) Ф = 2.50.

Page 31: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

HCN measurements in flames using IRPSIRPS

Sun et al. 2010

Page 32: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IRPS measurements: HCN release history of solid fuel combustion/gasification

Sun et al. 2011

Page 33: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IRPS measurements: HCN release history of solid fuel combustion/gasification

3000

2000

2500 Wood,1600K Wood,1300K

on (p

pm)

1000

1500

conc

entra

tio

0

500HC

N

0 20 40 60 80 100 120 140

0

Time (s)

Comparison of HCN release at different temperatures for wood gasification.Sun et al. 2011

Page 34: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

HCl measurements using IRPSgCH4 /O2 flame seeded with chloroform

Li et al. Opt. Lett 2008

Page 35: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D-IRPS measurements of HF in flamesof HF in flames

Spectra recorded in SF6 doped CH4/air flames, E.r.= 1.1, Mckenna type burner. The blue arrows show HF hot lines.

Sun et al. :  In preparation

Page 36: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Experimental set-up: 2D-IRPS

Page 37: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

2D imaging of HF

(a) Investigations of the spatial resolution of the imaging system(b) Thermal radiation from the flame without spectral filter (c) Photograph of the welding torch flame burning with CH4/O2 (Φ=2) doped with 2% SF6(d) 2-D IRPS imaging of HF. The wavelength of laser focused on R(3) line of HF

Page 38: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

New experimental scheme for IR DFWM experiments

Z.W. Sun, Z. S. Li, B. Li, M. Aldén and P. Ewart, ‘Detection of C2H2 and HCl with mid-infrared degenerate four-wave mixing with stable beam alignment: towards practical in situ sensing of trace

molecular species’, Appl. Phys. B 98, 593-600 (2010)

Page 39: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

IR-DFWM experiments on C2H2

Investigation of detection limits

IR-DFWM spectrum of 510 ppm C2H2 in a nitrogen gas flow. Partial assignments

of the spectral lines have been made

Page 40: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Thermometry using IR H2O lines using IR-DFWMlines using IR-DFWM Comparison-CARS

B2

J42 J22 J6

B3

Löfström, Kröll and Aldén, Proc. Comb. Symp. 24, 1637 (1992).Courtesy: Sun and Li 2010

Page 41: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Stimulated Emission (SE)

Conceptual behaviour:Two-photon UV excitation followed bylaserlike emission in the visible/IR regionlaserlike emission in the visible/IR region

SE

SE

FilterDichroicmirror

SE

mirrorBurner

Page 42: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Stimulated Emission

Advantages:Advantages:• Signal generated as a new beam• Bidirectional signal• Bidirectional signal• Very strong signal

Si l t• Simple set-up• Minor species detection (N,C)

Disadvantages• Difficult to model• May interfere with LIFMay interfere with LIF• Low spatial resolution (?!)

Page 43: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Flame application of SE

O atom detection

N atom detection

Page 44: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Increased spatial resolution using SE

Page 45: It d tiIntroduction Degenerate four wave mixing ... · 11. Non-linear optical techniques • It d tiIntroduction • Degenerate four wave mixing DFWMDegenerate four wave mixing ,

Photochemical effects?