Almost localized photon modes in continuous and discrete models of disordered media

Journal of the Optical Society of America B: Optical Physics

Volumn 21, Issue 1, 2004, Pages 132-140

  Apalkov, V M ^a   Raikh, M E ^a   Shapiro, B ^b  

^a UNIVERSITY OF UTAH   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TRANSPORT PROPERTIES; ELECTRONIC DENSITY OF STATES; LASER RESONATORS; LIGHT SCATTERING;

DISORDERED MEDIA; LATTICE SPECIFIC STATES; LOCALIZED PHOTON MODES;

PHOTONS;

EID: 0347899281     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.21.000132     Document Type: Article

References (28)

1. H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, "Random laser action in semiconductor powder," Phys. Rev. Lett. 82, 2278-2281 (1999).
2. S. V. Frolov, Z. V. Vardeny, K. Yoshino, A. Zakhidov, and R. H. Baughman, "Stimulated emission in high-gain organic media," Phys. Rev. B 59, R5284-R5287 (1999).
3. A. A. Chabanov, Z. Q. Zhang, and A. Z. Genack, "Breakdown of diffusion in dynamics of extended waves in mesoscopic media," http://arxiv.org/abs/cond-mat/0211651.
4. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, "Distribution of mesoscopic fluctuations and relaxation processes in disordered conductors," in Mesoscopic Phenomena in Solids, B. L. Altshuler, P. A. Lee, and R. A. Webb, eds. (North-Holland, Amsterdam, 1991).
5. B. A. Muzykantskii and D. E. Khmelnitskii, "Nearly localized states in weakly disordered conductors," Phys. Rev. B 51, 5480-5483 (1995).
6. V. I. Fal'ko and K. B. Efetov, "Statistics of prelocalized states in disordered conductors," Phys. Rev. B 52, 17413-17429 (1995).
7. A. D. Mirlin, "Statistics of energy levels and eigenfunctions in disordered systems," Phys. Rep. 326, 259-382 (2000).
8. V. G. Karpov, "Resonant electronic states in disordered systems," Phys. Rev. B 48, 4325-4328 (1993).
9. V. G. Karpov, "Quasilocalized sound excitations in disordered systems," Phys. Rev. B 48, 12539-12549 (1993).
10. V. M. Apalkov, M. E. Raikh, and B. Shapiro, "Random resonators and prelocalized modes in disordered dielectric films," Phys. Rev. Lett. 89, 016802-016805 (2002).
11. V. M. Apalkov, M. E. Raikh, and B. Shapiro, "Crossover between universality classes in the statistics of rare events in disordered conductors," Phys. Rev. Lett. 89, 126601-126604 (2002).
12. V. M. Apalkov, M. E. Raikh, and B. Shapiro, "Coherent random lasing and 'almost localized' photon modes," http://arxiv.org/abs/cond-mat/0212231.
13. V. Uski, B. Mehlig, R. A. Römer, and M. Schreiber, "Exact diagonalization study of rare events in disordered conductors," Phys. Rev. B 62, R7699-R7702 (2000).
14. V. Uski, B. Mehlig, and M. Schreiber, "Signature of ballistic effects in disordered conductors," Phys. Rev. B 63, R241101-241104 (2001).
15. V. Uski, B. Mehlig, and M. Schreiber, "Spatial structure of anomalously localized states in disordered conductors," Phys. Rev. B 66, 233104-233107 (2002).
16. B. K. Nikolic and P. B. Allen, "Resistivity of a metal between the Boltzmann transport regime and the Anderson transition," Phys. Rev. B 63, 020201-020204 (2001).
17. B. K. Nikolic, "Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder," Phys. Rev. B 64, 014203-014210 (2001).
18. B. K. Nikolic, "Quest for rare events in mesoscopic disordered metals," Phys. Rev. B 65, 012201-012204 (2002).
19. B. K. Nikolic and V. Z. Cerovski, "Structure of quantum disordered wave functions: weak localization, far tails, and mesoscopic transport," Eur. Phys. J. B 30, 227-238 (2002).
20. A. Ossipov, T. Kottos, and T. Geisel, "Signatures of prelocalized states in classically chaotic systems," Phys. Rev. E 65, 055209-055212 (2002).
21. M. Patra, "Influence of spatial correlations on the lasing threshold of random lasers," http://arxiv.org/abs/cond-mat/0302506.
22. M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic, New York, 1991).
23. The opposite case of light trapping by strongly non-Gaussian disorder was addressed numerically in C. Vanneste and P. Sebbah, "Selective excitation of localized modes in active random media," Phys. Rev. Lett. 87, 183903-183906 (2001).
24. B. I. Halperin and M. Lax, "Impurity-band tails in the high-density limit. I. Minimum counting methods," Phys. Rev. 148, 722-740 (1966).
25. J. Zittartz and J. S. Langer, "Theory of bound states in a random potential," Phys. Rev. 148, 741-747 (1966).
26. G. R. Williams, S. B. Bayram, S. C. Rand, T. Hinklin, and R. M. Laine, "Laser action in strongly scattering rare-earth-metal-doped dielectric nanophosphors," Phys. Rev. A 65, 013807-013812 (2002).
27. X. Jiang and C. M. Soukoulis, "Time dependent theory for random lasers," Phys. Rev. Lett. 85, 70-73 (2000).
28. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).