Asymptotic approximation and first-order correction of coupled-wave equations
Abstract
A reformulation of the asymptotic solution of the coupled-mode equations with a periodic variation of the refractive index along the propagation length is presented. A first-order correction using the asymptotic solution and Piccard's method are also determined. It is found that the first-order solution compares very well with the numerical solution throughout a wide range of coupling parameters. The key differences between the method presented here and elsewhere reside in the derivation of the asymptotic solution as well as in the careful derivation of the higher order corrections.
- Publication:
-
Optical Engineering
- Pub Date:
- July 1997
- DOI:
- 10.1117/1.601399
- Bibcode:
- 1997OptEn..36.1930E