Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optical Engineering

Doppler-Free Laser Spectroscopy Via Degenerate Four-Wave Mixing

Juan Francisco Lam

Published Apr 1, 1982• 12 citations
Publisher

Abstract

The physics underlying the technique of degenerate four-wave mixing (DFWM) is presented. Its application to the measurement of energy decay and dephasing rates is considered in the regime of small absorption and coupling coefficients.
DOI
10.1117/12.7972885

Related papers

Degenerate Four-Wave Mixing Spectroscopy: Multistate Resonances and Multimode Laser Effects

Thomas A. Reichardt, William C. Giancola, Robert P. Lucht

Degenerate four-wave mixing (DFWM) spectroscopy is a promising diagnostic technique [1-3], but significant questions remain regarding its application for quantitative concentration measurements in combustion environments with typical laser systems. In this paper we present a summary of two numerical investigations with the goal of quantifying the measurement technique for common experimental situations. Specifically, we investigate both (1) probing a degenerate-level (multistate) resonance with a single-mode laser and (2) probing a two-state resonance with a multimode laser. DFWM signal levels are calculated by solving the time-dependent density matrix equations using direct numerical integration (DNI) [4, 5] for a two or more level system interacting with three laser beams.

Laser Applications to Chemical, Security and Environmental Analysis•Jan 1, 1998•0 citations

Degenerate four-wave mixing in resonant saturable material

Duncan G. Steel, Richard C. Lind, Juan Francisco Lam +1 more

The nonlinear response of resonant saturable materials giving rise to degenerate four-wave mixing (DFWM) has been shown both experimentally and theoretically to provide the potential for very large efficiencies for phase conjugation and Doppler-free spectra for high resolution spectroscopy. The geometry for this interaction consists of two counter- propagating pumps (Ef and Ep) and a probe (Ep) intersecting the pumps at some angle θfp. The simultaneous action of one pump and the probe produces spatial hole burning resulting in a spatial modulation of the saturating absorption and dispersion which scatters the remaining pump to produce the signal.

Conference on Lasers and Electro-Optics•Jan 1, 1981•0 citations

Theoretical Investigation of Phase Matching Schemes for Degenerate Four-Wave Mixing Spectroscopy

Thomas A. Reichardt, Robert P. Lucht

Degenerate four-wave mixing (DFWM) spectroscopy is a potentially powerful technique for quantitative measurement of minor species in gas-phase media [1-3]. In this paper we compare the DFWM signal levels and lineshapes obtained using two different phase-matching geometries: the phase-conjugate geometry and the forward phase-matched geometry. DFWM signal levels are calculated by solving the time-dependent density matrix equations using direct numerical integration (DNI) [4, 5] for a two-level system interacting with three laser beams. This numerical analysis includes the effects of molecular motion, intermolecular collisions, and high laser intensities, all of which have been shown to affect the DFWM signal level.

Laser Applications to Chemical, Security and Environmental Analysis•Jan 1, 1998•0 citations

Theory and measurement of degenerate four-wave mixing in a resonant three-level absorber

David E. Watkins, G. R. Phipps

The study of degenerate four-wave mixing (DFWM) in the doped alkali halide KCI:KReO4 was prompted by the observation that this material behaves like an ideal, homogeneously broadened two-level saturable absorber at CO2 laser wavelengths,1 for which a simple theory of DFWM exists.2

Conference on Lasers and Electro-Optics•Jan 1, 1982•0 citations

Degenerate four-wave mixing with broad-bandwidth pulsed lasers

D. R. Meacher, A. Charlton, P. Ewart +2 more

The steady-state theory of degenerate four-wave mixing (DFWM) with broad-bandwidth lasers is extended to treat the time dependence of the interaction allowing calculation of the intensity dependence and saturation behavior of DFWM with pulsed lasers. An experimental study of this intensity dependence as a function of laser bandwidth is reported, showing qualitative agreement with the theory. The line shape of DFWM induced by broad-bandwidth pump fields, probed by a monochromatic probe, is shown to have a Doppler-broadened profile in agreement with the theoretical predictions.

Physical Review A•Sep 1, 1990•47 citations

Time Dependence of Degenerate Four-wave Mixing with Broad Bandwidth Pulsed Lasers

M. Kaczmarek, D. R. Meacher, P. Ewart

A time dependent theory of resonant degenerate four-wave mixing (DFWM) with broad bandwidth lasers is outlined and used to calculate the temporal evolution of DFWM signals generated by pulsed lasers. Experimental measurements of saturation-induced pulse-shortening and reshaping effects are reported for DFWM in atomic Na vapour and found to be in quantitative agreement with theoretical predictions.

Journal of Modern Optics•Oct 1, 1990•13 citations
Degenerate four-wave mixing (DFWM) spectroscopy is a promising diagnostic technique [1-3], but significant questions remain regarding its application for quantitative concentration measurements in combustion environments with typical laser systems. In this paper we present a summary of two numerical investigations with the goal of quantifying the measurement technique for common experimental situations. Specifically, we investigate both (1) probing a degenerate-level (multistate) resonance with a single-mode laser and (2) probing a two-state resonance with a multimode laser. DFWM signal levels are calculated by solving the time-dependent density matrix equations using direct numerical integration (DNI) [4, 5] for a two or more level system interacting with three laser beams.
The nonlinear response of resonant saturable materials giving rise to degenerate four-wave mixing (DFWM) has been shown both experimentally and theoretically to provide the potential for very large efficiencies for phase conjugation and Doppler-free spectra for high resolution spectroscopy. The geometry for this interaction consists of two counter- propagating pumps (Ef and Ep) and a probe (Ep) intersecting the pumps at some angle θfp. The simultaneous action of one pump and the probe produces spatial hole burning resulting in a spatial modulation of the saturating absorption and dispersion which scatters the remaining pump to produce the signal.
Degenerate four-wave mixing (DFWM) spectroscopy is a potentially powerful technique for quantitative measurement of minor species in gas-phase media [1-3]. In this paper we compare the DFWM signal levels and lineshapes obtained using two different phase-matching geometries: the phase-conjugate geometry and the forward phase-matched geometry. DFWM signal levels are calculated by solving the time-dependent density matrix equations using direct numerical integration (DNI) [4, 5] for a two-level system interacting with three laser beams. This numerical analysis includes the effects of molecular motion, intermolecular collisions, and high laser intensities, all of which have been shown to affect the DFWM signal level.
The steady-state theory of degenerate four-wave mixing (DFWM) with broad-bandwidth lasers is extended to treat the time dependence of the interaction allowing calculation of the intensity dependence and saturation behavior of DFWM with pulsed lasers. An experimental study of this intensity dependence as a function of laser bandwidth is reported, showing qualitative agreement with the theory. The line shape of DFWM induced by broad-bandwidth pump fields, probed by a monochromatic probe, is shown to have a Doppler-broadened profile in agreement with the theoretical predictions.