dorsal/arxiv
View SchemaGoos-Haenchen induced vector eigenmodes in a dome cavity
| Authors | David H. Foster, Jens U. Noeckel, Andrew K. Coook |
|---|---|
| Categories | |
| ArXiv ID | physics/0702226 |
| URL | https://arxiv.org/abs/physics/0702226 |
| DOI | 10.1364/OL.32.001764 |
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.
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"date_created": "2026-03-02T18:01:18.538000Z",
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"abstract": "We demonstrate numerically calculated electromagnetic eigenmodes of a 3D dome\ncavity resonator that owe their shape and character entirely to the\nGoos-Haenchen effect. The V-shaped modes, which have purely TE or TM\npolarization, are well described by a 2D billiard map with the Goos-Haenchen\nshift included. A phase space plot of this augmented billiard map reveals a\nsaddle-node bifurcation; the stable periodic orbit that is created in the\nbifurcation corresponds to the numerically calculated eigenmode, dictating the\nangle of its \"V\". A transition from a fundamental Gaussian to a TM V mode has\nbeen observed as the cavity is lengthened to become nearly hemispherical.",
"arxiv_id": "physics/0702226",
"authors": [
"David H. Foster",
"Jens U. Noeckel",
"Andrew K. Coook"
],
"categories": [
"physics.optics",
"physics.class-ph"
],
"doi": "10.1364/OL.32.001764",
"title": "Goos-Haenchen induced vector eigenmodes in a dome cavity",
"url": "https://arxiv.org/abs/physics/0702226"
},
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