Completeness and time-independent perturbation of the quasinormal modes of an absorptive and leaky cavity.
作者： P. T. Leung , S. Y. Liu , K. Young
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摘要: The scalar analog of electromagnetism in one dimension is discussed with reference to a cavity formed by distribution dielectric material constant \ensuremath{\epsilon}\ifmmode \tilde{}\else \~{}\fi{}(x,\ensuremath{\omega}). Provided that for large \ensuremath{\omega}, \~{}\fi{}(x,\ensuremath{\omega}) or its spatial derivative any order has discontinuity x at the edge (e.g., interface between two materials), discrete quasinormal modes (QNM's) system are shown form complete set inside cavity. In terms these, time-independent perturbation can be formulated. Both completeness relation and perturbative series verified explicitly, example, context which QNM's also analyzed belong classes: those intrinsically absorptive (which decouple when absorption switched off) leaky character.
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sci-hub.se 参考文章(25)
Roy Lang, Marlan O. Scully, Willis E. Lamb, Why is the Laser Line So Narrow? A Theory of Single-Quasimode Laser Operation Physical Review A. ,vol. 7, pp. 1788- 1797 ,(1973) , 10.1103/PHYSREVA.7.1788
Roy Lang, Marlan O. Scully, Fluctuations in mode locked “single-mode” laser oscillation Optics Communications. ,vol. 9, pp. 331- 337 ,(1973) , 10.1016/0030-4018(73)90263-0
J. C. Penaforte, B. Baseia, Quantum theory of a one-dimensional laser with output coupling: Linear approximation Physical Review A. ,vol. 30, pp. 1401- 1406 ,(1984) , 10.1103/PHYSREVA.30.1401
S. C. Ching, H. M. Lai, K. Young, Dielectric microspheres as optical cavities: thermal spectrum and density of states Journal of The Optical Society of America B-optical Physics. ,vol. 4, pp. 1995- 2003 ,(1987) , 10.1364/JOSAB.4.001995
S. C. Ching, H. M. Lai, K. Young, Dielectric microspheres as optical cavities: Einstein A and B coefficients and level shift Journal of The Optical Society of America B-optical Physics. ,vol. 4, pp. 2004- 2009 ,(1987) , 10.1364/JOSAB.4.002004
H. Dekker, A note on the exact solution of the dynamics of an oscillator coupled to a finitely extended one-dimensional mechanical field and the ensuing quantum mechanical ultraviolet divergence Physics Letters A. ,vol. 104, pp. 72- 76 ,(1984) , 10.1016/0375-9601(84)90965-4
H. Dekker, Particles on a string: Towards understanding a quantum mechanical divergence☆ Physics Letters A. ,vol. 105, pp. 395- 400 ,(1984) , 10.1016/0375-9601(84)90715-1
H. Dekker, Exactly solvable model of a particle interacting with a field: The origin of a quantum-mechanical divergence Physical Review A. ,vol. 31, pp. 1067- 1076 ,(1985) , 10.1103/PHYSREVA.31.1067
R.P Feynman, F.L Vernon, The Theory of a general quantum system interacting with a linear dissipative system Annals of Physics. ,vol. 24, pp. 547- 607 ,(1963) , 10.1016/0003-4916(63)90068-X
A.O Caldeira, A.J Leggett, Quantum tunnelling in a dissipative system Annals of Physics. ,vol. 149, pp. 374- 456 ,(1983) , 10.1016/0003-4916(83)90202-6