Ky. Tu et T. Tamir, FULL-WAVE MULTIPLE-SCATTERING ANALYSIS OF DIFFRACTION BY SUPERPOSED GRATINGS, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(1), 1994, pp. 181-196
A recently developed multiple-scattering technique for analyzing wave
diffraction by superposed gratings is extended to include backward sca
ttering as well. This extension now permits the accurate determination
of transmitted and reflected fields in the presence of both weakly an
d strongly modulated media. By developing algorithms based on flow gra
phs that track the scattering process, we show that the multiple-scatt
ering approach can be applied to evaluate any diffracted order without
requiring a large computer memory. We discuss examples relevant to op
tical interconnects by presenting numerical results for full-wave scat
tering by as many as eight superposed gratings.