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IEEE Journal of Quantum Electronics

Polychromatic phase conjugation in Fabry-Perot etalons

Göran Manneberg, M. Kull

Published Mar 1, 1989• 1 citation
Publisher

Abstract

The field inside a Fabry-Perot etalon is calculated for the case when the entering beam has a Gaussian profile and is entering under an angle. The coupled wave equations describing polychromatic phase conjugation in a Fabry-Perot etalon are solved analytically in the undepleted pumps approximation. This solution shows that the power necessary to yield a certain reflectivity decreases an order of magnitude in correctly made etalons.>

DOI
10.1109/3.18573

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The field inside a Fabry-Perot etalon is calculated for the case when the entering beam has a Gaussian profile and is entering under an angle. The coupled wave equations describing polychromatic phase conjugation in a Fabry-Perot etalon are solved analytically in the undepleted pumps approximation. This solution shows that the power necessary to yield a certain reflectivity decreases an order of magnitude in correctly made etalons.>
There is an increasing interest in all-epitaxial Fabry-Perot etalons for optical bistability1,2 and optical logic gates.3 To model these devices theoretically, the wave equation, carrier diffusion equation, and heat conduction equation must be solved self-consistently for the layered structure. To investigate the effects of small spot sizes, the wave equation must include diffraction, whereas for the heat conduction equation both longitudinal (perpendicular to the layers) as well as transverse (parallel to the layers) heat conduction must be taken into account.
Many important effects such as optical bistability or periodic and chaotic self-pulsations have their origin in the interaction of two counterpropagating optical beams of the same frequency in a nonlinear medium. The investigation of the actual behavior of the standing waves set up inside a nonlinear Fabry-Perot etalon by an external pump beam is generally performed by observation of the transmitted beam. As predicted theoritically(1), intracavity phase conjugation is another way to test this interaction between the two counterpropagating pump waves inside the nonlinear cavity.
The non-linear wave-equation has been solved numerically for a Fabry-Perot etalon, assuming a cylindrical symmetric gaussian input beam, a local mixed dispersive and absorptive saturable nonlinearity and an additional nonsaturable background absorption term. The role of focusing has been systematically investigated for both absorptive and dispersive bistability. Whole-beam switching occurs under tight focusing conditions. But, in the case of defocusing and absorptive bistability, a further reduction of spotsize results in loss of the hysteresis characteristics. Thus, thisposes a restriction on the minimum spotsize and, hence on the minimum input power, for bistable operation.