Vol. 24
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
Transfer Relations for Electromagnetic Wave Scattering from Periodic Dielectric One-Dimensional Interface: TE Polarization Lines
By
, Vol. 24, 39-75, 1999
Abstract
Citation
Yuru Nicolaevich Barabanenkov Valeri Kouznetsov Mikhail Yurievitch Barabanenkov , "Transfer Relations for Electromagnetic Wave Scattering from Periodic Dielectric One-Dimensional Interface: TE Polarization Lines," , Vol. 24, 39-75, 1999.
doi:10.2528/PIER99010503
http://www.jpier.org/PIER/pier.php?paper=9901053
References

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.

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).

4. Anderson, P. W., "Absence of diffusion in certain random lattices," Phys. Rev., Vol. 109, 1492-1505, 1958.
doi:10.1103/PhysRev.109.1492

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

6. Dorokhov, O. N., "Transmission coefficient and the localization lengthin N-connected disordered chains," JETP Lett., Vol. 36, 318-321, 1982.

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

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

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

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

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

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

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

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

20. Bahar, E., "Scattering cross sections for composite random surfaces: full wave analysis," Radio Sci., Vol. 16, 1327-1335, 1981.
doi:10.1029/RS016i006p01327

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

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

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

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

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

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

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).

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).

29. Wood, R. W., "Anomalous diffraction gratings," Phys. Rev., Vol. 48, 928-936, 1935.
doi:10.1103/PhysRev.48.928

30. Waterman, P. C., "Scattering by periodic surface," J. Acoust Soc. Am., Vol. 57, 761-802, 1975.
doi:10.1121/1.380521

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

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

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

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

35. Tsang, L., J. A. Kong, and R. T. Shin, Theory of Microwaue Remote Sensing, Waley- Interscience, New-York, 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.

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

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

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

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

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

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

43. Yablonovich, E., "Photonic band structure," Photonic Band Gaps and Localization, 207-234, C.M. Soukoulis (Ed.), Plenum, New York, 1993.

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

45. John, S., "The localization of light and other classical waves in disordered media," Comments. Cond. Mat Phys., Vol. 14, 193-230, 1988.

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

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

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

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

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

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

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).

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.

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.

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

58. Ziman, J. S., Models of Disorder, Cambridge Univ. Press, London-New York-Melbourne, 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

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