dorsal/arxiv
View SchemaMethods for 3-D vector microcavity problems involving a planar dielectric mirror
| Authors | David H. Foster, Jens U. Nockel |
|---|---|
| Categories | |
| ArXiv ID | physics/0406102 |
| URL | https://arxiv.org/abs/physics/0406102 |
| DOI | 10.1016/j.optcom.2004.02.030 |
| Journal | Optics Communications 234, 351-383 (2004) |
Abstract
We develop and demonstrate two numerical methods for solving the class of open cavity problems which involve a curved, cylindrically symmetric conducting mirror facing a planar dielectric stack. Such dome-shaped cavities are useful due to their tight focusing of light onto the flat surface. The first method uses the Bessel wave basis. From this method evolves a two-basis method, which ultimately uses a multipole basis. Each method is developed for both the scalar field and the electromagnetic vector field and explicit ``end user'' formulas are given. All of these methods characterize the arbitrary dielectric stack mirror entirely by its 2\times2 transfer matrices for s- and p-polarization. We explain both theoretical and practical limitations to our method. Non-trivial demonstrations are given, including one of a stack-induced effect (the mixing of near-degenerate Laguerre-Gaussian modes) that may persist arbitrarily far into the paraxial limit. Cavities as large as 50 \lambda are treated, far exceeding any vectorial solutions previously reported.
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"abstract": "We develop and demonstrate two numerical methods for solving the class of\nopen cavity problems which involve a curved, cylindrically symmetric conducting\nmirror facing a planar dielectric stack. Such dome-shaped cavities are useful\ndue to their tight focusing of light onto the flat surface. The first method\nuses the Bessel wave basis. From this method evolves a two-basis method, which\nultimately uses a multipole basis. Each method is developed for both the scalar\nfield and the electromagnetic vector field and explicit ``end user\u0027\u0027 formulas\nare given. All of these methods characterize the arbitrary dielectric stack\nmirror entirely by its 2\\times2 transfer matrices for s- and p-polarization. We\nexplain both theoretical and practical limitations to our method. Non-trivial\ndemonstrations are given, including one of a stack-induced effect (the mixing\nof near-degenerate Laguerre-Gaussian modes) that may persist arbitrarily far\ninto the paraxial limit. Cavities as large as 50 \\lambda are treated, far\nexceeding any vectorial solutions previously reported.",
"arxiv_id": "physics/0406102",
"authors": [
"David H. Foster",
"Jens U. Nockel"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/j.optcom.2004.02.030",
"journal_ref": "Optics Communications 234, 351-383 (2004)",
"title": "Methods for 3-D vector microcavity problems involving a planar dielectric mirror",
"url": "https://arxiv.org/abs/physics/0406102"
},
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