Jm. Elson, MULTILAYER-COATED OPTICS - GUIDED-WAVE COUPLING AND SCATTERING BY MEANS OF INTERFACE RANDOM ROUGHNESS, Journal of the Optical Society of America. A, Optics, image science,and vision., 12(4), 1995, pp. 729-742
For plane-wave light incident upon multilayer optical components, we u
se first-order perturbation theory to calculate two effects of interfa
ce roughness: (1) angle-resolved scattering and (2) guided-made coupli
ng. The interface roughness, which is assumed to be a random variable
having root-mean-square roughness much less than the incident waveleng
th, is the perturbation parameter. When guided-wave mode resonances ar
e inherent in optical component design, we show that fractions of inci
dent energy scattered directly and coupled into guided-wave modes are
comparable. It follows that, in consideration of multilayer optics, en
ergy coupled into guided-wave modes can be an equally important consid
eration, as this energy may then end up as an additional contribution
to scattering and absorption.