2003/10/31 by Carlos Viviescas, Gregor Hackenbroich · 2 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Random lasers and scattering media #quant-ph
paper · pdf · doi:10.1088/1464-4266/6/4/004
published as J. Opt. B: Quantum Semiclass. Opt. 6, 211 (2004) · 25 pages, 6 figures, corrected typos
openalex publication_date 2004/02/23 · arxiv created 2004/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
A recently developed technique for the system-and-bath quantization of open optical cavities is applied to three resonator geometries: a one-dimensional dielectric, a Fabry–Perot resonator, and a dielectric disc. The system-and-bath Hamiltonian for these geometries is derived starting from Maxwell's equations and employed to compute the electromagnetic fields, the resonances, and the cavity gain factors. Exact agreement is found with standard quantization methods based on a modes-of-the-universe description. Our analysis provides a microscopic justification for the system-and-bath quantization even in the regime of spectrally overlapping modes. Combined with random-matrix theory our quantization method can serve as a starting point for a quantum theory of wave-chaotic and disordered optical media.