title: Prediction of coupling length in a rectangular-core directional coupler: an accurate analysis.
abstract: It is shown that, for rectangular-core directional couplers, Marcatili's widely used analysis [Bell Syst. Tech. J. 48, 2071 (1969)] predicts almost the same value of coupling length as that obtained by the simple slab-waveguide approximation. A more accurate analysis, which takes the effect of corner regions into account through first-order perturbation theory, shows that Marcatili's analysis may lead to inaccurate results for small values of depths of channel waveguides, which are the most practical directional couplers involving single-mode channel waveguides.
authors.forename: A
authors.initials: A
authors.lastname: Kumar
authors.forename: A N
authors.initials: AN
authors.lastname: Kaul
authors.forename: A K
authors.initials: AK
authors.lastname: Ghatak