Precision of multiplex CARS temperatures using both single-mode and multimode pump lasers

D. R. Snelling; G. J. Smallwood; R. A. Sawchuk; T. Parameswaran

doi:10.1364/AO.26.000099

Precision of multiplex CARS temperatures using both single-mode and multimode pump lasers

D. R. Snelling, G. J. Smallwood, R. A. Sawchuk, and T. Parameswaran

Applied Optics
Vol. 26,
Issue 1,
pp. 99-110
(1987)
•https://doi.org/10.1364/AO.26.000099

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D. R. Snelling, G. J. Smallwood, R. A. Sawchuk, and T. Parameswaran, "Precision of multiplex CARS temperatures using both single-mode and multimode pump lasers," Appl. Opt. 26, 99-110 (1987)

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History
- Original Manuscript: June 17, 1986
- Published: January 1, 1987

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Abstract

The noise level in single-pulse resonant nitrogen CARS spectra is shown to decrease with increasing pump laser bandwidth. This is the reverse of the trend observed for nonresonant CARS spectra. The precision of single-pulse CARS temperature measurements is shown to be dramatically increased by performing a weighted fit of theoretical and experimental CARS spectra using the measured detector noise coefficients as weighting parameters. The inclusion of collisional narrowing and cross-coherence in the CARS theory calculations and their effect on best fit temperatures are discussed. These temperatures, measured in a flat-flame burner, are compared with those obtained by Na line-reversal.

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	Pump Laser Configuration

Spectrum type	Single mode	Multimode (0.10 cm⁻¹)	Multimode (0.69 cm⁻¹)
CO₂ nonresonant spectra	6.6	8.4	9.1
N₂ flame spectra T = 1580 K	22.4 (22.0)	16.1 (15.6)	11.1 (10.8)

Average temperature ${\bar{T}}_{av}$ (K)	Standard deviation ${\bar{σ}}_{T}$ (K)	Weighting
1563	131 ± 17	None
1551	71 ± 5	Detector shot noise only
1531	59 ± 6	Detector shot noise +4% CARS noise
1492	61 ± 7	Detector shot noise +20% CARS noise

Average temperature ${\bar{T}}_{av}$ (K)	Standard deviation ${\bar{σ}}_{T}$ (K)	Weighting
1586	88 ± 5	None
1554	51 ± 3	Detector shot noise only
1526	45 ± 2	Detector shot noise +4% CARS noise

Average temperature ${\bar{T}}_{av}$ (K)	Standard deviation ${\bar{σ}}_{T}$ (K)	Weighting
1602	71 ± 6	None
1555	46 ± 4	Detector shot noise only
1532	42 ± 5	Detector shot noise +4% CARS noise

Temperature (K)	Computer model
Single-mode pump laser
1577 ± 17	Isolated line
1599 ± 19	Collisional narrowing
Multimode (0.10-cm⁻¹) pump laser
1588 ± 10	Isolated line
1611 ± 11	Collisional narrowing
1569 ± 11	Collisional narrowing + cross-coherence
Multimode (0.69-cm⁻¹) pump laser
1659 ± 7	Isolated line
1581 ± 7	Collisional narrowing + cross-coherence

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