Fast Calculation of the Propagation Constants of Leaky and Berenger Modes of Planar and Circular Dielectric Waveguides Terminated by a Perfectly Matched Layer

A fast technique is proposed to determine the complex propagation constants of the leaky and Berenger modes of circular dielectric waveguides terminated by a perfectly matched layer (PML). The method relies on a coordinate transformation in the complex plane and uses the approximate analytical solutions of the dispersion relations as a first estimate. The efficiency of the technique is shown for a microstrip substrate and a VCSEL configuration, both terminated by a perfectly matched layer. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 37: 167–171, 2003; Published online in Wiley InterScience (www. interscience.wiley.com). DOI 10.1002/mop.10857