Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

被引:60
|
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 50 条
  • [41] Random-Matrix Theory: Distribution of Mesoscopic Supercurrents Through a Chaotic Cavity
    Markus Garst
    Thilo Kopp
    Journal of Low Temperature Physics, 2002, 126 : 1305 - 1324
  • [42] Random-matrix theory: Distribution of mesoscopic supercurrents through a chaotic cavity
    Garst, M
    Kopp, T
    JOURNAL OF LOW TEMPERATURE PHYSICS, 2002, 126 (3-4) : 1305 - 1324
  • [43] Large lateral shift near pseudo-Brewster angle on reflection from a weakly absorbing double negative medium
    Shen, Nian-Hai
    Chen, Jing
    Wu, Qi-Yang
    Lan, Tian
    Fan, Ya-Xian
    Wang, Hui-Tian
    OPTICS EXPRESS, 2006, 14 (22): : 10574 - 10579
  • [44] EIGENVALUES FOR A SPHERICAL CAVITY WITH AN IMPEDANCE WALL
    BHARTIA, P
    HAMID, MAK
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1971, MT19 (01) : 110 - &
  • [45] On 2-Absorbing and Weakly 2-Absorbing Ideals of Commutative Semirings
    Darani, Ahmad Yousefian
    KYUNGPOOK MATHEMATICAL JOURNAL, 2012, 52 (01): : 91 - 97
  • [46] 2-ABSORBING AND WEAKLY 2-ABSORBING ELEMENTS IN MULTIPLICATIVE LATTICES
    Jayaram, C.
    Tekir, Unsal
    Yetkin, Ece
    COMMUNICATIONS IN ALGEBRA, 2014, 42 (06) : 2338 - 2353
  • [47] On weakly 1-absorbing prime ideals
    Koc, Suat
    Tekir, Unsal
    Yildiz, Eda
    RICERCHE DI MATEMATICA, 2023, 72 (02) : 723 - 738
  • [48] On Weakly S-2-Absorbing Submodules
    Sudharshana, Govindarajulu Narayanan
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [49] On weakly 1-absorbing primary submodules
    Celikel, Ece Yetkin
    Koc, Suat
    Tekir, Unsal
    Yildiz, Eda
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (02)
  • [50] INFRARED SPECULAR REFLECTANCE OF WEAKLY ABSORBING SAMPLES
    KORTE, EH
    VIBRATIONAL SPECTROSCOPY, 1990, 1 (02) : 179 - 185