Eigenmode solution of 2-D and 3-D electromagnetic cavities containing absorbing materials using the Jacobi-Davidson algorithm

Eigenmodes of electromagnetic cavities containing absorbing dielectric mate rials are determined using an adaptation of the Jacobi-Davidson technique t o solve discrete matrix eigenequations derived from Maxwell's equations. Th e discretisations, obtained using finite difference and finite integration methods, give rise to non-Hermitian matrices, having complex eigenvalues, a nd the Jacobi-Davidson method is shown to be applicable even when very low- Q cavity eigenmodes exist in the presence of highly lossy dielectric or per meable materials. Examples are given of eigensolutions for both 2-D (cylind rically symmetric) and 3-D electromagnetic operators. (C) 2000 Academic Pre ss.