English

Goos-Haenchen induced vector eigenmodes in a dome cavity

Optics 2009-11-13 v1 Classical Physics

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.

Keywords

Cite

@article{arxiv.physics/0702226,
  title  = {Goos-Haenchen induced vector eigenmodes in a dome cavity},
  author = {David H. Foster and Jens U. Noeckel and Andrew K. Coook},
  journal= {arXiv preprint arXiv:physics/0702226},
  year   = {2009}
}

Comments

4 pages, 4 figures