title: Goos-Hänchen 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-Hänchen effect. The V-shaped modes, which have purely TE or TM polarization, are well described by a 2D billiard map with the Goos-Hänchen 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.
authors.affiliation: Deep Photonics Corporation, Corvallis, Oregon 97333, USA. noeckel@darkwing.uoregon.edu
authors.forename: David H
authors.initials: DH
authors.lastname: Foster
authors.forename: Andrew K
authors.initials: AK
authors.lastname: Cook
authors.forename: Jens U
authors.initials: JU
authors.lastname: Nöckel