Numerical simulation of nonlinear resonance spectra in aperture-limited light beams having various profiles

Vladimir L. Derbov; Sergey K. Potapov; Inna L. Babkova-Plastun; Alexander Novikov; Yurii N. Ponomarev; Yu. V. Kistenyov

doi:10.1117/12.131175

1 July 1992 Numerical simulation of nonlinear resonance spectra in aperture-limited light beams having various profiles

Vladimir L. Derbov, Sergey K. Potapov, Inna L. Babkova-Plastun, Alexander Novikov, Yurii N. Ponomarev, Yu. V. Kistenyov

Proceedings Volume 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy; (1992) https://doi.org/10.1117/12.131175
Event: Tenth All-Union Symposium and School on High Resolution Molecular Spectroscopy, 1991, Omsk, Russian Federation

Abstract

Only for optically thin layers and plane waves may the intensity of a light wave be unambiguously expressed in terms of the nonlinear susceptibility of the medium. In aperture limited light beams the saturation parameter and the Stark shifts are local variables, while the output intensity of the pump and probe beams is an integral characteristic of the transmission process. The output spectrum is affected by diffraction, nonlinear refraction, and saturated absorption. The nonlinear refraction is a cause of a spectral line asymmetry which is well- known in saturation spectroscopy. In addition to usual line broadening, the saturated absorption causes specific beam effects, related to the formation of a self-induced transparency channel. The diffraction of the beam due to this self-induced aperture may result in the enhancement of the on-axis intensity, which is not a result of the self-induced lens effects. All these factors are taken into account by the mathematical model suggested in the present work. The propagation of the near-resonance saturating pump and non-saturating probe beams of various initial profiles through a homogeneously broadened two-level gas is simulated numerically. The calculations carried out make it possible to analyze the contribution of the propagation phenomena, mentioned above, to the output spectra of the beams.

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Vladimir L. Derbov, Sergey K. Potapov, Inna L. Babkova-Plastun, Alexander Novikov, Yurii N. Ponomarev, and Yu. V. Kistenyov "Numerical simulation of nonlinear resonance spectra in aperture-limited light beams having various profiles", Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); https://doi.org/10.1117/12.131175

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KEYWORDS

Laser beam diagnostics

Absorption

Diffraction

Numerical simulations

Beam propagation method

Ions

Refraction

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