dorsal/arxiv
View SchemaQuantum chaos in optical systems: The annular billiard
| Authors | Martina Hentschel, Klaus Richter |
|---|---|
| Categories | |
| ArXiv ID | physics/0210002 |
| URL | https://arxiv.org/abs/physics/0210002 |
| DOI | 10.1103/PhysRevE.66.056207 |
| Journal | Phys. Rev. E 66, 056207 (2002) |
Abstract
We study the dielectric annular billiard as a quantum chaotic model of a micro-optical resonator. It differs from conventional billiards with hard-wall boundary conditions in that it is partially open and composed of two dielectric media with different refractive indices. The interplay of reflection and transmission at the different interfaces gives rise to rich dynamics of classical light rays and to a variety of wave phenomena. We study the ray propagation in terms of Poincare surfaces of section and complement it with full numerical solutions of the corresponding wave equations. We introduce and develop an S-matrix approach to open optical cavities which proves very suitable for the identification of resonances of intermediate width that will be most important in future applications like optical communication devices. We show that the Husimi representation is a useful tool in characterising resonances and establish the ray-wave correspondence in real and phase space. While the simple ray picture provides a good qualitative description of certain system classes, only the wave description reveals the quantitative details.
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"abstract": "We study the dielectric annular billiard as a quantum chaotic model of a\nmicro-optical resonator. It differs from conventional billiards with hard-wall\nboundary conditions in that it is partially open and composed of two dielectric\nmedia with different refractive indices. The interplay of reflection and\ntransmission at the different interfaces gives rise to rich dynamics of\nclassical light rays and to a variety of wave phenomena. We study the ray\npropagation in terms of Poincare surfaces of section and complement it with\nfull numerical solutions of the corresponding wave equations. We introduce and\ndevelop an S-matrix approach to open optical cavities which proves very\nsuitable for the identification of resonances of intermediate width that will\nbe most important in future applications like optical communication devices. We\nshow that the Husimi representation is a useful tool in characterising\nresonances and establish the ray-wave correspondence in real and phase space.\nWhile the simple ray picture provides a good qualitative description of certain\nsystem classes, only the wave description reveals the quantitative details.",
"arxiv_id": "physics/0210002",
"authors": [
"Martina Hentschel",
"Klaus Richter"
],
"categories": [
"physics.optics",
"cond-mat.mes-hall",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.66.056207",
"journal_ref": "Phys. Rev. E 66, 056207 (2002)",
"title": "Quantum chaos in optical systems: The annular billiard",
"url": "https://arxiv.org/abs/physics/0210002"
},
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