Near and far fields of perturbed whispering-gallery modes in a 2-D spiral-shaped active microcavity

We consider the lasing modes in a spiral active microcavity as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. This problem is reduced to the set of two coupled boundary integral equations with smooth and integrable kernels discretized using the adequate quadrature formulas. Then eigenvalues are found numerically with guaranteed accuracy as the roots of determinantal equation. A numerical study of the whispering-gallery modes in a spiral microlaser is presented.