Plane-wave spectrum approach for tilted waveguides.
Scattering of guided modes from an abruptly terminated waveguide is analyzed through an integral-equation formulation. First the boundary-value problem for a plane-stratified waveguide with arbitrary profile is reduced to a canonical system of surface integral equations. A Born-type iterative procedure is then employed to obtain a tractable solution of the scattering field at the termination. The specific choice of a tilted planar termination renders an explicit closed-form expression for the first Born approximation, represented by the plane-wave spectrum of the incident modal field modified by the appropriate Fresnel coefficient. Thus previous ad hoc formulations can be recovered as limiting cases of the suggested rigorous expansion scheme.
Einziger
P D
PD
Salzman
J
J