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The Review of Laser Engineering

Generation of Multi-Phase-Conjugate and Non-conjugate Waves by Coherent Resonance.

Naohiro Tanno, Osamu Satô

Published Jan 1, 1992• 0 citations
Publisher

Abstract

This paper describes the generation of multi-phase-conjugate and non-conjugate waves in two or three beams incident into a coherent resonant two level system.The generation of these waves is shown by theoretical analysis using a multi-wave optical Bloch equation and confirmed by the experiments using a dye-laser and Na-vapor system.
DOI
10.2184/lsj.20.5_337

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New resonances are predicted in the interaction of a two-level system (TLS) with laser radiation. These resonances are related to the nonlinear coupling between the TLS and Brillouin enhanced acoustic waves driven by the laser radiation. Resonances in phase conjugation by four-wave mixing driven by stimulated Brillouin scattering (SBS) of laser radiation in fluids have been studied elsewhere.1,2 The coupling of such resonances to the TLS interaction with laser radiation influences the spectral behavior of the TLS. Such resonances appear in addition to the Rabi sidebands. The inclusion of these resonances should have important practical implications in processes that depend on accurate spectral behavior such as in the fields of laser spectroscopy, four-wave mixing, and phase conjugation. Here the new resonances are demonstrated for two mutually detuned counterpropagating laser beams interacting with a TLS at frequencies that may be detuned from the TLS spectral line center. The nonlinear Maxwell Bloch equations coupled to the acoustic wave equation are solved numerically. Damping due to viscosity is taken into account. Wave depletion is included and no perturbation theory approximations are assumed in the numerical solution of these equations.
Nondegenerate four-wave mixing on the j=0\ensuremath{\rightarrow}j=1 transition, in a ``V '' system, using orthogonal, circularly polarized pump beams is used to study theoretically the generation of the phase-conjugate signals. The efficiency of generation of the conjugate wave is studied as a function of the various system parameters such as pump-probe detuning, Zeeman splitting, pump-atom detuning, collisional parameters, and the intensities of the pump beams. The origin of the various resonances in the reflectivity is explained. For weak pump fields, some resonances are shown to have subnatural linewidths. In the degenerate case, the reflectivity as a function of pump-atom detuning has, in contrast to a two-level system, a doublet structure for moderate absorption-length parameters and field strengths. The reflectivity is shown to have additional resonances due to pump imbalance. The phase-conjugate signal is also shown to exhibit the pressure-induced extra resonances.
Two-frequency four-wave mixing in a dye is demonstrated, in which degenerate four-wave mixing is performed simultaneously within the absorption and emission frequency spectra, with two separate sets of beams. The coupling between the two bands gives rise to backward output waves at both frequencies, which are proportional to the phase conjugate of a single probe which can be at either of the two frequencies. Forward-propagating waves which are not conjugated are also generated at both frequencies. The frequency shifted outputs are tunable over the bandwidth of the spectrum in which they lie. A theoretical analysis is performed which is based on a four-level system model of the ground and first excited singlet states in a dye. Resulting are coupled equations, which are solved to yield the efficiencies of the various outputs. Experiments give results in good agreement with the theory.