Brillouin-Wigner perturbation theory in open electromagnetic systems

被引:139
作者
Muljarov, E. A. [2 ]
Langbein, W. [2 ]
Zimmermann, R. [1 ]
机构
[1] Univ Berlin, Inst Phys Humboldt, D-12489 Berlin, Germany
[2] Cardiff Univ Parade, Sch Phys & Astron, Cardiff CF24 3AA, S Glam, Wales
基金
英国生物技术与生命科学研究理事会;
关键词
TIME-INDEPENDENT PERTURBATION; RESONANCE WAVE-FUNCTIONS; QUANTUM-THEORY; STATES; COMPLETENESS; POTENTIALS; MODES;
D O I
10.1209/0295-5075/92/50010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Brillouin-Wigner perturbation theory is developed for open electromagnetic systems which are characterised by discrete resonant states with complex eigenenergies. Since these states are exponentially growing at large distances, a modified normalisation is introduced that allows a simple spectral representation of the Green's function. The perturbed modes are found by solving a linear eigenvalue problem in matrix form. The method is illustrated on exactly solvable oneand three-dimensional examples being, respectively, a dielectric slab and a microsphere. Copyright (C) EPLA, 2010
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页数:6
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共 23 条
[1]  
[Anonymous], 2015, Electromagnetic Theory
[2]   RESONANCE STATES [J].
BANG, J ;
GAREEV, FA .
LETTERE AL NUOVO CIMENTO, 1981, 32 (15) :420-424
[3]   EXPANSION OF CONTINUUM FUNCTIONS ON RESONANCE WAVE-FUNCTIONS AND AMPLITUDES [J].
BANG, J ;
GAREEV, FA ;
GIZZATKULOV, MH ;
GONCHAROV, SA .
NUCLEAR PHYSICS A, 1978, 309 (03) :381-421
[4]  
Baz A.I, 1969, F510 NASA TT
[5]   Perturbation problems and self consistent fields. [J].
Brillouin, L .
JOURNAL DE PHYSIQUE ET LE RADIUM, 1932, 3 :373-389
[6]   EXACT GREEN-FUNCTION FOR THE STEP AND SQUARE-BARRIER POTENTIALS [J].
DEAGUIAR, MAM .
PHYSICAL REVIEW A, 1993, 48 (04) :2567-2573
[7]   Unidirectional emission from circular dielectric microresonators with a point scatterer [J].
Dettmann, C. P. ;
Morozov, G. V. ;
Sieber, M. ;
Waalkens, H. .
PHYSICAL REVIEW A, 2009, 80 (06)
[8]   For the Quantum theory of Atomic fission. [J].
Gamow, G. .
ZEITSCHRIFT FUR PHYSIK, 1929, 52 (7-8) :510-515
[9]   On the Quantum theory of atomic nucleus [J].
Gamow, G. .
ZEITSCHRIFT FUR PHYSIK, 1928, 51 (3-4) :204-212
[10]   TIME-INDEPENDENT PERTURBATION FOR LEAKING ELECTROMAGNETIC MODES IN OPEN SYSTEMS WITH APPLICATION TO RESONANCES IN MICRODROPLETS [J].
LAI, HM ;
LEUNG, PT ;
YOUNG, K ;
BARBER, PW ;
HILL, SC .
PHYSICAL REVIEW A, 1990, 41 (09) :5187-5198