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Soviet Journal of Quantum Electronics

Trapping of resonance radiation and nonlinear interaction of waves in a ring laser

A. Birman, A. F. Savushkin

Published Mar 31, 1978• 0 citations
Publisher

Abstract

Exact solution of the kinetic equation with a one-dimensional averaged Keilson--Storer kernel is used to calculate the nonlinear polarizability of the active medium of a ring laser allowing for complete trapping of resonance radiation. An analysis is made of the extent to which the relationships obtained differ from the known results of the theory based on the model of strong collisions. It is shown that radiation trapping may reduce significantly the instability zone of the two-wave stimulated emission.

DOI
10.1070/qe1978v008n03abeh009996

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Exact solution of the kinetic equation with a one-dimensional averaged Keilson--Storer kernel is used to calculate the nonlinear polarizability of the active medium of a ring laser allowing for complete trapping of resonance radiation. An analysis is made of the extent to which the relationships obtained differ from the known results of the theory based on the model of strong collisions. It is shown that radiation trapping may reduce significantly the instability zone of the two-wave stimulated emission.
The resonance radiation trapping operators are constructed for a two-isotope excited atom ensemble allowing for interisotope resonance photon exchange. The nonlinear polarizability of a ring-laser medium is calculated using the strong collision model and an expression is obtained which relates the exchange parameter with the isotope shift due to the resonance transition and with the trapping parameter. Relationships are derived and analyzed for the nonlinear self-interaction and interaction parameters of the opposite waves under complete exchange conditions by accurately solving a system of kinetic equations.
An analysis is made of the propagation of a plane electromagnetic wave through a ring resonator containing a cell with a nonlinear optically active liquid. The influence of the spatial dispersion of the cubic nonlinearity on the amplitude and polarization characteristics of the output radiation is investigated in the steady-state regime. The transient problem is solved numerically in the instability region. It is shown that random changes in the intensity, ellipticity, and angle of rotation of the polarization ellipse of the output radiation are possible for certain values of the intensity of linearly polarized pump radiation, resonator parameters, and properties of the medium.
An analysis is made of the interaction of radiation with a two-level medium at a high particle density. An explicit allowance is made in the interaction Hamiltonian for the interaction between dipoles induced by a resonance field. A semiclassical description is used to obtain a system of equations describing the propagation of a pulse in the active medium. The equations contain nonlinear terms allowing for the interaction in question. An approximate solution of the equations is obtained for the case of amplification of a weak noncoherent pulse describing pulse compression in the amplifying medium. The theory is compared with experimental results.
An analysis is made of nonlinear nonstationary equations describing dynamics of the stimulated Raman scattering in optical resonators excited by external nonmonochromatic radiation. The threshold of the excitation of the stimulated scattering by nonmonochromatic radiation is found and its dependence on the dispersion of the active medium is deduced. Solutions are obtained for steady-state oscillations in a resonator and their characteristics are investigated as a function of the spectrum of the exciting radiation and of the dispersion of the active medium.
A theoretical analysis is made of the nonlinear (in respect of the radiation intensity) rotation of the plane of polarization occuring in an atomic medium subjected to a static magnetic field near one-photon (two-level atoms) and two-photon (three-level atoms) resonances. A study is also made of the influence of a strong monochromatic pump wave on the propagation of a weak nonmonochromatic wave. The wave functions and quasienergies are calculated for a three-level system in static magnetic and monochromatic electromagnetic fields near a two-photon resonance. It is shown that the Verdet constant and the refractive index of such a system depend on the magnitude and relative sign of the frequency detuning from resonance. Proximity to a two-photon resonance destroys the polarizability of a medium for either sign of the detuning.
An experimental investigation was made of the spectral and energy characteristics of the radiation emitted by a dye laser with a ring resonator containing an absorbing medium (potassium vapor) in which an anisotropy was induced by a strong external optical wave. Narrowing of the dye output radiation to about 10???2 nm and locking of the emission spectrum to one- and two-photon absorption lines of the potassium vapor were observed. An investigation was made of the locking efficiency for different polarizations of the strong wave.