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Topical Meeting on Optical Bistability (OB)

Angle and Frequency Optical Bistability : Resonant Excitation of a Nonlinear Guided Mode

P. Arlot, E. Pic, R. Reinisch, Guy Vitrant

Published Jan 1, 1985• 0 citations
Publisher

Abstract

We consider the system fig. 1. Its main feature is the existence of a Kerr substrate. Thus we deal with a nonlinear (NL) waveguide. The excitation process takes place through a prism.
DOI
10.1364/obi.1985.md12

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Angle and Frequency Optical Bistability: Resonant Excitation of a Nonlinear Guided Mode

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A guided wave is launched through a nonlinear prism coupler whose prism-waveguide gap is filled with a liquid crystal. We observe that the intensity of the guided wave may exhibit optical bistability. Tests are realized which proove that the loops are true bistable cycles and not only hysteresis. The experimental results are in good agreement with plane-wave calculations. The disagreement with finite-width incident beam calculations is explained by a thermal averaging process within the liquid crystal.
We consider grating induced optical bistability (OB) arising from the resonant excitation of a given nonlinear guided mode. In that case it can be shown, using the coupled-mode formalismi(1), that in the whole bistable domain : a) the transverse field map of the resonantly excited nonlinear guided mode corresponds to that of the associated linear one which is known. b) the Kerr-type nonlinearity only modifies the longitudinal wavevector component. Thus the rigorous theory of diffraction(2), previously used to study grating-induced plane wave OB(3), can be replaced by a much more simple one which works as follows : i) determine the complex longitudinal wavevector component of the linear leaky guided mode p, βpL, through the solution of the associated linear homogeneous grating problem(2), ii) use the rigorous theory of diffraction in linear optics(2) to determine the in-coupling efficiency, tp, of the incident plane wave, iii) use the coupled-mode formalism to derive the analytical expression(4) of the complex nonlinear longitudinal wavevector component βpNL.