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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Effect of resonant self-action on the transmission spectrum of saturable absorbers with inhomogeneous broadening

Vladimir Leonardovich Derbov, Olga M. Priyutova

Published Mar 3, 1997• 0 citations
Publisher

Abstract

The influence of near-resonance self-action of a transversely limited light beam on the integral transmission spectrum of an optically thick saturable absorber with Doppler-broadened transition line is studied numerically for different values of Lorenz-to-Doppler linewidth ratio. It is shown that Doppler broadening diminishes the effect of induced lens and relevant transmission line asymmetry.

DOI
10.1117/12.267751

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The influence of near-resonance self-action of a transversely limited light beam on the integral transmission spectrum of an optically thick saturable absorber with Doppler-broadened transition line is studied numerically for different values of Lorenz-to-Doppler linewidth ratio. It is shown that Doppler broadening diminishes the effect of induced lens and relevant transmission line asymmetry.
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Numerical modeling of self-action of a beam, whose amplitude is periodically modulated in time, in a two-level saturable absorbing medium is reported. For describe a beam self-action we solve numerically the full set of Maxwell-Bloch equations. We study the influence of the non-stationary self-action of the beam on the transmission of modulation signal through the medium. It is shown that in the time dependence of the polarization and population difference the nonlinear distortions of the modulation signal can be much stronger than in the output field intensity.
The line shapes of saturation spectroscopy in optically thick two-level media are calculated for atomic and molecular transitions. Line narrowing and distortion effects due to propagation are presented. For Doppler-broadened media it is shown that, due to multiphoton processes, the natural linewidth limits the ultimate narrowing that can be reached. Thus, up to ${\ensuremath{\alpha}}_{0}L=20,$ only when the rate-equation approximation is valid subhomogeneous linewidths are expected.
The review deals with resonance phenomena resulting from saturation of low-pressure-gas absorption lines by a coherent optical field, when the spectral lines are inhomogeneously broadened by the Doppler effect. Principal attention is paid to narrow resonances of width much smaller than the Doppler widths, which are produced upon saturation of the absorption by light waves under various experimental conditions (inside and outside the laser resonator, in traveling and standing waves, in spatially separated waves, etc.), owing to different effects (absorption saturation, mode interaction in the laser). Each of the phenomena is considered from both the theoretical and the experimental points of view. The phenomena considered serve as a basis of a new branch of optical spectroscopy, namely nonlinear laser spectroscopy of ultrahigh resolution.
This work examines absorption spectrometry by narrowband light in gaseous media with arbitrary optical thickness when the light induces optical saturation or optical pumping. Two quantities are defined: the observed absorbance, A(obs), and the true absorbance, A(true). The former is the absorbance that is measured under the existing conditions, whereas the latter represents the absorbance one would measure if the light acted solely as a probe of the populations of the various levels, and it is therefore directly proportional to the concentration or density of absorbers. A general integral equation for the propagation of light in media of arbitrary optical thickness in which the light influences the populations of the levels involved is derived. This expression is transcendental in the observed absorbance and cannot be solved analytically. It is shown that an analytical expression can be derived by investigating the inverse relationship, i.e., A(true) = f(A(obs)). Inasmuch as collision and Doppler broadened media react differently to optical saturation, they are considered separately. It is shown that a nonlinear response results if the medium is optically saturated (or pumped) and not optically thin. Expressions for the error introduced if the technique of standard additions is uncritically applied to such a system are derived.