title: Quasi-analytic formalism for mode characteristics in highly overmoded rectangular dielectric waveguide bends.
abstract: A fast and simple quasi-analytic method to simulate mode characteristics in highly overmoded rectangular dielectric waveguide bends is presented. Fast mode-based bend models are necessary, since overmoded rectangular waveguides have become very popular in optical interconnects on printed circuit boards. The proposed method combines a simple mode solver with the formalism that was proposed by Melloni et al. [J. Lightwave Technol. 16, 571 (2001)], yielding to a very convenient and accurate quasi-analytic formalism for the bend transfer function based on matrix notation. For that purpose, a simple method to approximate leaky modes is introduced. The model offers the ability to predict individual modal phases and amplitudes within a given bend as well as the calculation of coupling losses and was validated using three-dimensional beam-propagation-method simulation software.
authors.affiliation: Swiss Federal Institute of Technology Zurich, Laboratory for Electromagnetic Fields and Microwave Electronics, Communication Photonics Group, CH-8092 Zurich, Switzerland. lenz@photonics.ee.ethz.ch
authors.forename: Daniel
authors.initials: D
authors.lastname: Lenz
authors.forename: Daniel
authors.initials: D
authors.lastname: Erni
authors.forename: Werner
authors.initials: W
authors.lastname: Bächtold