EM-WaveHoltz: A Flexible Frequency-Domain Method Built From Time-Domain Solvers

A novel approach to computing time-harmonic solutions of Maxwell’s equations by time-domain simulations is presented. The method, electromagnetic-WaveHoltz (EM-WaveHoltz), results in a positive definite system of equations, which makes it amenable to iterative solution with the conjugate gradient method or with generalized minimal residual method (GMRES). Theoretical results guaranteeing the convergence of the method away from resonances are presented. Numerical examples illustrating the properties of EM-WaveHoltz are given.