DIRECTIONAL DECOMPOSITION OF THE ELECTROMAGNETIC-FIELD IN INTEGRATED-OPTICS

In integrated optics there is a growing interest in the use of parabol ic wave equations for modeling electromagnetic waves in waveguiding st ructures (e.g. Beam Propagation Method). In this field, particular att ention must be paid to the wide-angle approximation, (multiple) back r eflections and polarization interaction. To account for these we consi der the technique of the directional wave field decomposition, which h as been recently developed for acoustic waves in fluids(1). The latter method malt es use of the pseudo-differential operator calculus. In t his paper the construction of optimal sparse matrix representations fo r pseudo-differential operators will be discussed.