A Novel Approach to the Modeling of a Fabry-Perot Open Resonator

A new method based on coordinate transformation dedicated to the analysis of an open Fabry-Perot resonator is introduced in this paper. It is shown that the problem can be reduced to the scalar one-dimensional analysis of the resonator consisting of two Gaussian mirrors, although spherical mirrors can also be accounted for. The proposed method is validated numerically in the millimeter frequency range with a finite difference time domain method.