Means to find nonlinear modal fields using the finite difference beam propagation method

Frank H. G. M. Wijnands; Hugo J.W.M. Hoekstra; G. J. M. Krijnen; Rene M. de Ridder

doi:10.1117/12.185171

25 August 1994 Means to find nonlinear modal fields using the finite difference beam propagation method

Frank H. G. M. Wijnands, Hugo J.W.M. Hoekstra, G. J. M. Krijnen, Rene M. de Ridder

Proceedings Volume 2212, Linear and Nonlinear Integrated Optics; (1994) https://doi.org/10.1117/12.185171
Event: Integrated Optoelectronics '94, 1994, Lindau, Germany

Abstract

A method to construct modal fields for an arbitrary one- or two-dimensional intensity dependent refractive index structure is described. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation for the Finite Difference Beam Propagation Method. By suitably choosing the complex value of the propagation step, one mode is maximally increased in amplitude. The applicability of the method is discussed and illustrated by a one-dimensional cross section test example with Kerr- type nonlinearity.

Citation Download Citation

Frank H. G. M. Wijnands, Hugo J.W.M. Hoekstra, G. J. M. Krijnen, and Rene M. de Ridder "Means to find nonlinear modal fields using the finite difference beam propagation method", Proc. SPIE 2212, Linear and Nonlinear Integrated Optics, (25 August 1994); https://doi.org/10.1117/12.185171

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