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.
© 2007 Optical Society of America
Full Article | PDF ArticleMore Like This
M. Merano, A. Aiello, G.W. ’t Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman
Opt. Express 15(24) 15928-15934 (2007)
Wen-Xing Yang, Shaopeng Liu, Zhonghu Zhu, Ziauddin, and Ray-Kuang Lee
Opt. Lett. 40(13) 3133-3136 (2015)
R. Macêdo, R. L. Stamps, and T. Dumelow
Opt. Express 22(23) 28467-28478 (2014)