Signature of Wave Localization in the Time Dependence of a Reflected Pulse

作者: M. Titov , C. W. J. Beenakker

DOI: 10.1103/PHYSREVLETT.85.3388

关键词: Transformation matrixAnalytic continuationPower lawPulse (physics)PhysicsExponentSpectral densityScatteringWaveguide (acoustics)Quantum mechanics

摘要: The average power spectrum of a pulse reflected by disordered medium embedded in an N-mode waveguide decays time with law t(-p). We show that the exponent p increases from 3 / 2 to after N2 scattering times, due onset localization. compare two methods arrive at this result. first method involves analytic continuation imaginary absorption rate static problem. second solution Fokker-Planck equation for frequency dependent reflection matrix, means mapping onto problem non-Hermitian quantum mechanics.

参考文章(11)
Benjamin White, Ping Sheng, Zhao Qing Zhang, George Papanicolaou, Wave Localization Characteristics in the Time Domain Physical Review Letters. ,vol. 59, pp. 1918- 1921 ,(1987) , 10.1103/PHYSREVLETT.59.1918
K Sølna, G Papanicolaou, Ray theory for a locally layered random medium Waves in Random Media. ,vol. 10, pp. 151- 198 ,(2000) , 10.1088/0959-7174/10/1/311
A. Z. Genack, P. Sebbah, M. Stoytchev, B. A. van Tiggelen, STATISTICS OF WAVE DYNAMICS IN RANDOM MEDIA Physical Review Letters. ,vol. 82, pp. 715- 718 ,(1999) , 10.1103/PHYSREVLETT.82.715
B. A. Muzykantskii, D. E. Khmelnitskii, Nearly localized states in weakly disordered conductors Physical Review B. ,vol. 51, pp. 5480- 5483 ,(1995) , 10.1103/PHYSREVB.51.5480
C. W. J. Beenakker, K. J. H. van Bemmel, P. W. Brouwer, High-frequency dynamics of wave localization. Physical Review E. ,vol. 60, ,(1999) , 10.1103/PHYSREVE.60.R6313
C. W. J. Beenakker, J. C. J. Paasschens, P. W. Brouwer, Probability of reflection by a random laser. Physical Review Letters. ,vol. 76, pp. 1368- 1371 ,(1996) , 10.1103/PHYSREVLETT.76.1368
C. W. J. Beenakker, B. Rejaei, Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire. Physical Review Letters. ,vol. 71, pp. 3689- 3692 ,(1993) , 10.1103/PHYSREVLETT.71.3689
Naomichi Hatano, David R. Nelson, Localization Transitions in Non-Hermitian Quantum Mechanics. Physical Review Letters. ,vol. 77, pp. 570- 573 ,(1996) , 10.1103/PHYSREVLETT.77.570
K A Muttalib, Random matrix models with additional interactions Journal of Physics A. ,vol. 28, ,(1995) , 10.1088/0305-4470/28/5/003