Density of States and Extinction Mean Free Path of Waves in Random Media: Dispersion Relations and Sum Rules

被引:20
作者
Carminati, R. [1 ]
Saenz, J. J. [2 ,3 ]
机构
[1] ESPCI, Inst Langevin, CNRS, UMR 7587,Lab Opt Phys, F-75231 Paris 05, France
[2] Univ Autonoma Madrid, Dept Fis Mat Condensada, E-28049 Madrid, Spain
[3] DIPC, Donostia San Sebastian 20018, Spain
关键词
SPONTANEOUS EMISSION; SCATTERING; LIGHT; DECAY;
D O I
10.1103/PhysRevLett.102.093902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We establish a fundamental relationship between the averaged local density of states and the extinction mean free path of waves propagating in random media. From the principle of causality and the Kramers-Kronig relations, we show that both quantities are connected by dispersion relations and are constrained by a frequency sum rule. The results should be helpful in the analysis of wave transport through complex media and in the design of materials with specific transport properties.
引用
收藏
页数:4
相关论文
共 38 条
  • [11] Lifetime fluctuations of a single emitter in a disordered nanoscopic system:: The influence of the transition dipole orientation
    Froufe-Perez, L. S.
    Carminati, R.
    [J]. PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE, 2008, 205 (06): : 1258 - 1265
  • [12] Fluorescence decay rate statistics of a single molecule in a disordered cluster of nanoparticles
    Froufe-Perez, L. S.
    Carminati, R.
    Saenz, J. J.
    [J]. PHYSICAL REVIEW A, 2007, 76 (01):
  • [13] Photonic glass:: A novel random material for light
    Garcia, Pedro David
    Sapienza, Riccardo
    Blanco, Alvaro
    Lopez, Cefe
    [J]. ADVANCED MATERIALS, 2007, 19 (18) : 2597 - +
  • [14] Singularity of the dyadic Green's function for heterogeneous dielectrics
    Guerin, Charles-Antoine
    Gralak, Boris
    Tip, Adriaan
    [J]. PHYSICAL REVIEW E, 2007, 75 (05):
  • [15] THE SCATTERING OF LIGHT .2. THE COMPLEX REFRACTIVE-INDEX OF A MOLECULAR FLUID
    HYNNE, F
    BULLOUGH, RK
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 321 (1559): : 305 - 360
  • [16] THE SCATTERING OF LIGHT .1. THE OPTICAL-RESPONSE OF A FINITE MOLECULAR FLUID
    HYNNE, F
    BULLOUGH, RK
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1984, 312 (1521): : 251 - 293
  • [17] THE SCATTERING OF LIGHT .3. EXTERNAL SCATTERING FROM A FINITE MOLECULAR FLUID
    HYNNE, F
    BULLOUGH, RK
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 330 (1612): : 253 - 313
  • [18] Joannopoulos JD, 2008, PHOTONIC CRYSTALS: MOLDING THE FLOW OF LIGHT, 2ND EDITION, P1
  • [19] JOHN S, 1984, PHYS REV LETT, V53, P2169, DOI 10.1103/PhysRevLett.53.2169