Dj. Vezzetti et M. Munowitz, 2-DIMENSIONAL MODEL FOR WAVE-GUIDE JUNCTIONS, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(1), 1994, pp. 250-253
Losses in branched waveguides are often estimated from the overlap bet
ween incident and transmitted electric fields, with the effective-inde
x method typically used to reduce the problem to one dimension. We ext
end this technique to two dimensions by combining the analytical forma
lism with numerically computed series expansions for the modal fields.
The hybrid procedure is simple to use and widely applicable, in parti
cular to those structures for which effective-index theory may fail.