On the Computation of Nonlinear Eigenvalues in Electromagnetic Problems

Abstract

The numerical evaluation of parameters having practical interest in electromagnetic applications is often related to the determination of the set of values, named nonlinear eigenvalues, for which the nonlinear eigenvalue problem L(γ)f = 0 admits a non trivial solution. These values are usually computed, after properly discretization of L(γ), by SVD. However this approach has a main drawback that is very time consuming. In this work we propose a method for quickly evaluating these parameters. An application of the developed technique to a well-known electromagnetic problem is then presented and discussed.