Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

被引:61
作者
Beenakker, CWJ
Brouwer, PW
机构
[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands
[2] Cornell Univ, Atom & Solid State Phys Lab, Ithaca, NY 14853 USA
基金
美国国家科学基金会;
关键词
chaotic scattering; random-matrix theory; optical absorption; time-delay matrix;
D O I
10.1016/S1386-9477(00)00245-9
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The scattering-matrix product SSdagger of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption, it follows from this relationship that the eigenvalues of SSdagger for a weakly absorbing chaotic cavity are distributed according to a generalized Laguerre ensemble. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:463 / 466
页数:4
相关论文
共 16 条
[1]   Thermal radiation and amplified spontaneous emission from a random medium [J].
Beenakker, CWJ .
PHYSICAL REVIEW LETTERS, 1998, 81 (09) :1829-1832
[2]   Probability of reflection by a random laser [J].
Beenakker, CWJ ;
Paasschens, JCJ ;
Brouwer, PW .
PHYSICAL REVIEW LETTERS, 1996, 76 (08) :1368-1371
[3]   Random-matrix theory of quantum transport [J].
Beenakker, CWJ .
REVIEWS OF MODERN PHYSICS, 1997, 69 (03) :731-808
[4]  
BEENAKKER CWJ, 1999, NATO SCI SERIES C, V531
[5]  
BOUWER PW, 1996, UNPUB
[6]  
Brouwer PW, 1997, PHYS REV B, V55, P4695, DOI 10.1103/PhysRevB.55.4695
[7]   Quantum mechanical time-delay matrix in chaotic scattering [J].
Brouwer, PW ;
Frahm, KM ;
Beenakker, CWJ .
PHYSICAL REVIEW LETTERS, 1997, 78 (25) :4737-4740
[8]   Distribution of the quantum mechanical time-delay matrix for a chaotic cavity [J].
Brouwer, PW ;
Frahm, KM ;
Beenakker, CWJ .
WAVES IN RANDOM MEDIA, 1999, 9 (02) :91-104
[9]   Multiple scattering in the presence of absorption: A theoretical treatment for quasi one-dimensional systems [J].
Bruce, NA ;
Chalker, JT .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (14) :3761-3768
[10]   Parametric correlations of scattering phase shifts and fluctuations of delay times in few-channel chaotic scattering [J].
Fyodorov, YV ;
Sommers, HJ .
PHYSICAL REVIEW LETTERS, 1996, 76 (25) :4709-4712