1. Gazaryan, Yu. L., "The one-dimensional problem of propagation of waves in a medium withrandom inhomogeneities," Sov. Phys. JETP, Vol. 29, 996-1003, 1969. Google Scholar
2. Bellman, R. and G. M. Wing, An Introduction to Invariant Imbedding, Wiley-Interscience, New York, 1975.
3. Ambarzumyan, V. A., "To the problem on diffuse reflection of light," Zh. Eksp. Teor. Fiz., Vol. 13, 244-255, 1943 (in Russian). Google Scholar
4. Anderson, P. W., "Absence of diffusion in certain random lattices," Phys. Rev., Vol. 109, 1492-1505, 1958.
doi:10.1103/PhysRev.109.1492 Google Scholar
5. Gertsenshtein, M. E. and V. B. Vasil’ev, "Waveguides with random inhomogeneities and Brownian motion in the Lobachevsky plane," Ther. Probab. Appl., Vol. 4, 391-, Vol. 36, 318- (E), 1959.
doi:10.1137/1104038 Google Scholar
6. Dorokhov, O. N., "Transmission coefficient and the localization lengthin N-connected disordered chains," JETP Lett., Vol. 36, 318-321, 1982. Google Scholar
7. Mello, P. A., P. Pereyra, and N. Kumar, "Macroscopic approach to multichanell disordered conductors," Ann. Phys., Vol. 181, 290-317, 1988.
doi:10.1016/0003-4916(88)90169-8 Google Scholar
8. Beenakker, C. W. J., "Random-matrix theory of quantum transport," Rev. Mod. Phys., Vol. 69, 731-808, 1997.
doi:10.1103/RevModPhys.69.731 Google Scholar
9. Papanicolaou, G. C., "Wave propagation in a one-dimensional random medium," SIAM J. Appl. Math., Vol. 21, 13-18, 1971.
doi:10.1137/0121002 Google Scholar
10. Klyatskin, V. I., Stochastic Equations and Waves in Random Inhomogeneous Media, Nauka, Moscow, 1980 (in Russian).
11. Klyatskin, V. I., The Imbedding Method in the Theory of Wave Propagation, Nauka, Moscow, 1986 (in Russian).
12. Saatchi, S. S. and R. H. Lang, "Average reflected power from an one-dimensional slab of discrete scatterers," Radio Sci., Vol. 25, 407-417, 1990.
doi:10.1029/RS025i004p00407 Google Scholar
13. Barabanenkov, Yu. N. and D. I. Kryukov, "Functional Fokker-Planck formalism for wave propagation in random media under delocalized and weak localized regimes," Waves in Random Media, Vol. 2, 1-6, 1992.
doi:10.1088/0959-7174/2/1/001 Google Scholar
14. Sanches-Gil, J. A., V. Freilikher, I. Yurkevich, and A. A. Maradudin, "Coexistence of ballistic transport, diffusion, and localization in surface disordered waveguides," Phys. Rev. Lett., Vol. 80, 948-951, 1998.
doi:10.1103/PhysRevLett.80.948 Google Scholar
15. Beckmann, P. and A. Spizzichino, The scattering of Electromagnetic Waves from Rough Surfaces, Macmillan, New York, 1963.
16. Bass, F. G. and I. M. Fuks, Wave Scattering from Statistically Rough Surface, Pergamon, Oxford, 1979.
17. Voronovich, A. G., Wave Scattering from Rough Surfaces, Springer, Berlin, 1994.
doi:10.1007/978-3-642-97544-8
18. Rice, S. O., "Reflection of electromagnetic waves from slightly roughsurface," Commun. Pure Appl. Math., Vol. 4, 351-378, 1951.
doi:10.1002/cpa.3160040206 Google Scholar
19. Shen, J. and A. A. Maradudin, "Multiple scattering of waves from random roughsurface," Phys. Rev. B, Vol. 22, 4234-4240, 1980.
doi:10.1103/PhysRevB.22.4234 Google Scholar
20. Bahar, E., "Scattering cross sections for composite random surfaces: full wave analysis," Radio Sci., Vol. 16, 1327-1335, 1981.
doi:10.1029/RS016i006p01327 Google Scholar
21. Nieto-Vesperinas, M., "Depolarization of electromagnetic waves scattered from slightly rough random surfaces: a study by means of the extinction theorem," J. Opt. Soc. Am., Vol. 72, 539-547, 1982.
doi:10.1364/JOSA.72.000539 Google Scholar
22. Winebrenner, D. P. and A. Ishimaru, "Investigation of a surface-field phase-perturbation technique for scattering from rough surface," Radio Sci., Vol. 20, 161-170, 1985.
doi:10.1029/RS020i002p00161 Google Scholar
23. Tatarskii, V. I., "The expansion of the solution of rough-surface scattering problem in powers of quasi-slopes," Waves in Random Media, Vol. 3, 127-146, 1993.
doi:10.1088/0959-7174/3/2/007 Google Scholar
24. Voronovich, A., "Small-slope approximation for electromagnetic wave scattering at a roughin terface of two dielectric half-spaces," Waves in Random Media, Vol. 4, 337-367, 1994.
doi:10.1088/0959-7174/4/3/008 Google Scholar
25. Pak, K. and L. Tsang, "Numerical simulations and backscattering enhancement of electromagnetic waves from two-dimensional dielectric random roughsurfaces withth e sparse-matrix canonical grid method," J. Opt. Soc. Am. A, Vol. 14, 1515-1529, 1997.
doi:10.1364/JOSAA.14.001515 Google Scholar
26. Chaikina, E. I., A. G. Navarrete, E. R. Mendez, A. Martinez, and A. A. Maradudin, "Coherent scattering by one-dimensional randomly roughmetallic surface," Appl. Opt., Vol. 37, 1110-1121, 1998.
doi:10.1364/AO.37.001110 Google Scholar
27. Bakulin, V. A., T. A. Zhevlakova, T. A. Oleinik, and A. Y. Khairullina, "The interrelationship between angular and spectral characteristics of scattered radiation field and microtopography characteristics of polished surface," Optica and Spectroscopy, Vol. 71, 1008-1014, 1991 (in Russian). Google Scholar
28. Achmanov, S. A., V. N. Seminogov, and V. N. Sokolov, "Light diffraction on a roughsurface witha ``deep" profile: interaction of diffracted waves, anomalous absorption, largest possible local fields," Zh. Eksp. Teor. Fiz., Vol. 93, 1654-1669, 1987 (in Russian). Google Scholar
29. Wood, R. W., "Anomalous diffraction gratings," Phys. Rev., Vol. 48, 928-936, 1935.
doi:10.1103/PhysRev.48.928 Google Scholar
30. Waterman, P. C., "Scattering by periodic surface," J. Acoust Soc. Am., Vol. 57, 761-802, 1975.
doi:10.1121/1.380521 Google Scholar
31. Maystre, D., "A new general integral theory for dielectric coated graiting," J. Opt. Soc. Am., Vol. 68, 490-495, 1978.
doi:10.1364/JOSA.68.000490 Google Scholar
32. Chuang, S. L. and J. A. Kong, "Scattering of waves from periodic surfaces," Proc. of the IEEE, Vol. 69, 1132-1144, 1981.
doi:10.1109/PROC.1981.12128 Google Scholar
33. Chuang, S. L. and J. A. Kong, "Wave scattering from a periodic dielectric surface for a general angle of incidence," Radio Sci., Vol. 17, 545-557, 1982.
doi:10.1029/RS017i003p00545 Google Scholar
34. Maharam, M. G. and T. K. Gaylord, "Diffraction analysis of dielectric surface-relief gratings," J. Opt. Soc. Am., Vol. 72, 1385-1392, 1982.
doi:10.1364/JOSA.72.001385 Google Scholar
35. Tsang, L., J. A. Kong, and R. T. Shin, Theory of Microwaue Remote Sensing, Waley- Interscience, 1985.
36. Johnson, J. T., R. T. Shin, and J. A. Kong, "Scattering and thermal emission from a two dimensional periodic surface," Progress in Electromagnetic Research, Vol. 15, J. A. Kong (Ed.), EMW Publishing, Cambridge, MA, 303-333, 1997. Google Scholar
37. Barnes, C. and J. B. Pendry, "Multiple scattering of waves in random media: a transfer matrix approach," Proc. R. Soc. Lond. A, Vol. 435, 185-196, 1991.
doi:10.1098/rspa.1991.0137 Google Scholar
38. Pendry, J. B., A. MacKinnon, and P. J. Roberts, "Universality classes and fluctuations in disordered systems," Proc. R. Soc. Lond. A, Vol. 437, 67-83, 1992.
doi:10.1098/rspa.1992.0047 Google Scholar
39. Pendry, J. B. and P. J. Roberts, "Transfer matrices and the glory," Waves in Random Media, Vol. 3, 221-241, 1993.
doi:10.1088/0959-7174/3/3/006 Google Scholar
40. Yablonovitch, E., "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
doi:10.1103/PhysRevLett.58.2059 Google Scholar
41. John, S., "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett., Vol. 58, 2486-2489, 1987.
doi:10.1103/PhysRevLett.58.2486 Google Scholar
42. Plihal, M. and A. A. Maradudin, "Photon band structure of two-dimensional systems: The triangular lattice," Phys. Rev. B, Vol. 44, 8565-8571, 1991.
doi:10.1103/PhysRevB.44.8565 Google Scholar
43. Yablonovich, E., "Photonic band structure," Photonic Band Gaps and Localization, 207-234, C.M. Soukoulis (Ed.), Plenum, New York, 1993. Google Scholar
44. Joannopoulos, J. D., P. R. Villeneuve, and S. Fan, "Photonic Crystals: putting a new twist on light," Nature, Vol. 386, 143-149, 1997.
doi:10.1038/386143a0 Google Scholar
45. John, S., "The localization of light and other classical waves in disordered media," Comments. Cond. Mat Phys., Vol. 14, 193-230, 1988. Google Scholar
46. Sigal, M., C. M. Soukoulis, E. N. Economou, C. T. Chan, and K. M. Ho, "Photonic band gaps and defects in two dimensions: Studies of the transmission coefficient," Phys. Rev. B, Vol. 48, 14121-14126, 1993.
doi:10.1103/PhysRevB.48.14121 Google Scholar
47. Bogomolov, V. N., S. V. Gaponenko, A. M. Kapitonov, A. V. Prokoofiev, A. N. Ponyavina, N. I. Silvanovich, and S. M. Samoilovich, "Photonic band gap in the visible range in a three-dimensional solid state lattice," Appl. Phys. A, Vol. 3, 613-616, 1996.
doi:10.1007/BF01567217 Google Scholar
48. Pendry, J. B., "Transfer matrices and conductivity in two-and three-dimensional systems: I. Formalism," J. Phys.: Condens. Matter, Vol. 2, 3273-3286, 1990.
doi:10.1088/0953-8984/2/14/012 Google Scholar
49. Ngo, H. D. and C. L. Rino, "Wave scattering fimctions and their application to multiple scattering problems," Waves in Random Media, Vol. 3, 199-210, 1993.
doi:10.1088/0959-7174/3/3/004 Google Scholar
50. Ngo, H. D. and C. L. Rino, "Application of the mutual-interaction method to a class of two-scatterer systems: I. Two discrete scatterers," Waves in Random Media, Vol. 5, 89-106, 1995.
doi:10.1088/0959-7174/5/1/009 Google Scholar
51. Ngo, H. D. and C. L. Rino, "Application of the mutual-interaction method to a class of two-scatterer systems: II. Scatterer near an interface," Wave in Random Media, Vol. 5, 107-126, 1993.
doi:10.1088/0959-7174/5/1/010 Google Scholar
52. Konzuetsov, V. L. and V. G. Budanov, "Polarization characteristics of electromagnetic radiation which undergo multiple scattering in the cloud of small particles," Izv. Vyssch. Uchebn. Zaved. Radiofiz., Vol. 31, 493-495, 1988 (in Russian). Google Scholar
53. Kamzolov, S. K. and V. L. Konznetsov, "A spectral domain method for multiple scattering in transition layer of two-scale random surface," Report to the 1995 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference, Rio d Janeiro, Brazil, July 24-27, 1995. Google Scholar
54. Beniassi, M., Transfer Relations in Theory of Wave Multiple Scattering, (Ph.D. thesis), Russian University of Peoples’ Friendship., Moscow, 1995 (in Russian).
55. Goldberger, M. L. and K. M. Watson, Collision Theory, New York, 1964.
56. Barabanenkov, Yu. N., "Multiple scattering of waves from an ensemble of particles and the theory of radiation transfer," Sov. Phys.-Usp., Vol. 118, 673-689, 1976. Google Scholar
57. Johnson, B. R., "Invariant imbedding T matrix approach to electromagnetic scattering," Appl. Opt., Vol. 27, 4861-4862, 1988.
doi:10.1364/AO.27.004861 Google Scholar
58. Ziman, J. S., Models of Disorder, Cambridge Univ. Press, 1979.
59. Isichenko, M. B., "Percolation, statistical topography, and transport in random media," Rev. Mod. Phys., Vol. 64, 961-1063, 1992.
doi:10.1103/RevModPhys.64.961 Google Scholar
60. Elottori, E., V. Kagolovsky, and H. A. Weidenmuller, "Effect of resonances on diffuse scattering," Phys. Rev. B, Vol. 57, 11258-11264, 1998.
doi:10.1103/PhysRevB.57.11258 Google Scholar