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 (3)

• Methods for 3-D vector microcavity problems involving a planar dielectric mirror
• Spin-orbit interaction of photons and fine splitting of levels in ring dielectric resonator
• Bragg-induced orbital angular-momentum mixing in paraxial high-finesse cavities

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