Coordinate transformation approach to the solution of the Fabry-Perot open resonator

Abstract

A new technique based on coordinate transformation dedicated to the analysis of an open Fabry-Perot resonator is introduced in this paper. The method allows reducing the problem to the scalar one-dimensional analysis of the resonator consisting of two Gaussian mirrors, which fit better to a Gaussian mode than spherical mirrors commonly used in that kind of open resonators. The proposed method is validated rigorously in the 20–40 GHz frequency range using a finite difference time domain method.