On contour integral methods for the derivation of quasinormal modes

Josselin Defrance

Recent research in nanophotonics demonstrated that the optical properties of micro- and nano-structured media can be derived from their optical resonnances. Solving Maxwell’s equations within a finite element method for nanoparticles of arbitrary shapes leads to an eigenvalue matrix equation whose matrices often scale to a gigantic number of element. As a consequence, solving the complete equation with all eigenvalues and eigenvectors is an extremely challenging and time consuming task. In this context, we propose approachs to derive the quasinormal modes of a nano-particles using contour integral methods in the complex frequency space.