An improved coupled mode approach is presented for the analysis of plane-wave interaction with a spatially periodic permittivity dielectric layer. The method consists of two parts, in the first part the eigenvalues and eigenvectors of coupled mode system of equations are corrected to reduce the inherent errors, which arise by neglecting second-order derivatives. In the second part, a scattering matrix representation of cascaded systems is used to model the effect of boundaries. The problem under consideration is a 2-D planar grating structure illuminated by a TE polarized incident wave, but the method can be applied to other grating structures such as couplers, or any other structure for which the coupled mode approximation is used, similarly. Comparisons with results obtained using alternative methods are given to verify the accuracy of proposed method.

Date Published: 17 October 2001
PDF: 11 pages
Proc. SPIE 4581, Passive Components and Transmission Systems, (17 October 2001); doi: 10.1117/12.445021

Published in SPIE Proceedings Vol. 4581:
Passive Components and Transmission Systems
Chongcheng Fan; Norman S. Kwong, Editor(s)