It is shown in this paper that the Hermite-Gauss functions may be systematically used in an eigenfunction expansion procedure to solve for field propagation characteristics in the devices of interest. This quasi-analytic approach, coupled with the naturally suited collocation numerical procedure, is demonstrated to be a very efficient and effective scheme for analysing optical fields in non-uniform, inhomogeneous media. It is proposed as a method. of solution for active semiconductor optical devices where it is also necessary to calculate the optical field in conjunction with the diffusion-dominated carrier density equation. Self-consistent solutions are normally obtained only after several iterations, hence the need to achieve an efficient computation scheme is paramount.

Hermite-Gauss functions in the analysis of a category of optical devices

CAUSA, Federica;
1998

Abstract

It is shown in this paper that the Hermite-Gauss functions may be systematically used in an eigenfunction expansion procedure to solve for field propagation characteristics in the devices of interest. This quasi-analytic approach, coupled with the naturally suited collocation numerical procedure, is demonstrated to be a very efficient and effective scheme for analysing optical fields in non-uniform, inhomogeneous media. It is proposed as a method. of solution for active semiconductor optical devices where it is also necessary to calculate the optical field in conjunction with the diffusion-dominated carrier density equation. Self-consistent solutions are normally obtained only after several iterations, hence the need to achieve an efficient computation scheme is paramount.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1914416
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