
Accession Number : ADP007588
Title : Grating Couplers for Kerr Type Nonlinear Waveguides: A Simplified Theory,
Corporate Author : CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE GRENOBLE (FRANCE)
Personal Author(s) : Reinisch, R. ; Vincent, P. ; Neviere, M. ; Vitrant, G.
Report Date : 22 MAY 1992
Pagination or Media Count : 4
Abstract : 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 coupledmode formalism, 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 Kerrtype nonlinearity only modifies the longitudinal wavevector component. Thus the rigorous theory of diffraction, previously used to study gratinginduced plane wave OB, can be replaced by a much more simple one which works as follows: (1) determine the complex longitudinal wavevector component of the linear leaky guided mode p, Beta sub p L, through the solution of the associated linear homogeneous grating problem, (2) use the rigorous theory of diffraction in linear optics to determine the incoupling efficiency, t sub p, of the incident plane wave, (3) use the coupledmode formalism to derive the analytical expression of the complex nonlinear longitudinal wavevector component Beta sub p NL.
Descriptors : *KERR MAGNETOOPTICAL EFFECT, *WAVEGUIDE COUPLERS, DIFFRACTION, EFFICIENCY, EXCITATION, PLANE WAVES, THEORY, TRANSVERSE, SYMPOSIA, FRANCE, GRATINGS(SPECTRA), NONLINEAR OPTICS.
Subject Categories : Optics
Distribution Statement : APPROVED FOR PUBLIC RELEASE