Symmetry accounting helps solve the Lasing Eigenvalue Problems for optical microcavities

Abstract

© 2016 IEEE.The microcavity modes are considered accurately using the linear electromagnetic formalism of the Lasing Eigenvalue Problem (LEP) with exact boundary and radiation conditions. We reduce the original problem to a nonlinear eigenvalue problem for the system of Muller boundary integral equations and build a numerical method accounting symmetry of solutions. Symmetry accounting helps split solutions on classes, which contributes to the stability of calculations and reduces the dimension of the nonlinear spectral algebraic problem.