Goos-Haenchen induced vector eigenmodes in a dome cavity

Abstract

We demonstrate numerically calculated electromagnetic eigenmodes of a 3D dome cavity resonator that owe their shape and character entirely to the Goos-Haenchen effect. The V-shaped modes, which have purely TE or TM polarization, are well described by a 2D billiard map with the Goos-Haenchen shift included. A phase space plot of this augmented billiard map reveals a saddle-node bifurcation; the stable periodic orbit that is created in the bifurcation corresponds to the numerically calculated eigenmode, dictating the angle of its "V". A transition from a fundamental Gaussian to a TM V mode has been observed as the cavity is lengthened to become nearly hemispherical.

4 pages, 4 figures

References in corpus (1)

• Spin-orbit interaction of photons and fine splitting of levels in ring dielectric resonator

Cited by in corpus (3)

• Goos-Haenchen shift and localization of optical modes in deformed microcavities
• Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
• Degenerate Perturbation Theory Describing the Mixing of Orbital Angular Momentum Modes in Fabry-Pérot Cavity Resonators