A theoretical analysis of resonator modes in the presence of homogeneous media
Abstract
An analysis based on a derivation, which begins with Maxwell's equations and displays the required assumptions, of a pair of integral equations involving the tangential fields on the resonator mirrors is presented. This pair of equations is specialized to apply to paraxial resonators with perfectly conducting mirrors. The result of the specialization is a pair of integral, eigenvalue equations for the current distributions induced on the resonator mirrors. After further specializing them to resonators for which the spatial dependence of the modes separate these integral equations are solved using a straightforward technique based on a variational principle. This technique, which employs a novel method of obtaining modal expansion functions, reduces the analysis to a homogeneous matrix equation that is solved using wellknown numerical methods.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT........51D
 Keywords:

 Homogeneity;
 Maxwell Equation;
 Optical Resonators;
 Eigenvalues;
 Integral Equations;
 Matrices (Mathematics);
 Mirrors;
 Numerical Analysis;
 Lasers and Masers