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Form birefringence in porous semiconductors and dielectrics: A review

  • Physical Properties of Crystals
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Abstract

The phenomenon of optical anisotropy in porous semiconductors and dielectrics (porous silicon, gallium phosphide, and alumina) and photonic crystal structures formed on their basis is reviewed. It is shown that anisotropic nanostructuring of initially isotropic media leads to the occurrence of strong birefringence. Applicability of the effective-medium model to description of the form birefringence in porous semiconductors and dielectrics is discussed.

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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1969; Nauka, Moscow, 1970).

    Google Scholar 

  2. J. E. Sipe and R. W. Boyd, Optical Properties of Nanostructured Random Media. Topics Appl. Phys., Ed. by V. M. Shalaev (Springer-Verlag, Berlin, 2002), Vol. 82, p. 1.

    Google Scholar 

  3. E. F. Venger, A. V. Goncharenko, and M. L. Dmytruk, Optics of Smallness Particles and Dispersed Media (Naukova Dumka, Kiev, 1999) [in Ukrainian].

    Google Scholar 

  4. A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, New York, 1984; Mir, Moscow, 1987).

    Google Scholar 

  5. J. C. Maxwell and J. C. Gamett, Philos. Trans. R. Soc. London 203, 385 (1904).

    Article  ADS  Google Scholar 

  6. D. A. G. Bruggeman, Ann. Phys. (Leipzig, Ger.) 24, 634 (1935).

    Google Scholar 

  7. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976; Nauka, Moscow, 1990).

    Google Scholar 

  8. J. A. Osborn, Phys. Rev. 67, 351 (1945).

    Article  ADS  Google Scholar 

  9. I. L. Skryabin, A. V. Radchik, P. Moses, and G. B. Smith, Appl. Phys. Lett. 70, 2221 (1997).

    Article  ADS  Google Scholar 

  10. J. E. Spanier and I. P. Herman, Phys. Rev. B: Condens. Matter Mater. Phys. 61, 10 437 (2000).

    Google Scholar 

  11. O. Wiener, Der Abhandlungen der Mathematisch-Physischen Klasse der Königl. Sachsischen Gesellschaft der Wissenschaften 32, 509 (1912).

    Google Scholar 

  12. J. Rouquerol, D. Avnir, C. W. Fairbridge, et al., Pure Appl. Chem. 66, 1739 (1994).

    Google Scholar 

  13. Phys. Status Solidi A 197(1), 302 (2003).

  14. Phys. Status Solidi N 2(9), 3509 (2005).

  15. A. G. Cullis, L. T. Canham, and P. H. J. Calcott, J. Appl. Phys. 82, 909 (1997).

    Article  ADS  Google Scholar 

  16. O. Bisi, S. Ossicini, and L. Pavesi, Surf. Sci. Rep. 38, 1 (2000).

    Article  Google Scholar 

  17. W. Theĭ, Surf. Sci. Rep. 29, 91 (1997).

    Article  ADS  Google Scholar 

  18. R. L. Smith and S. D. Collins, J. Appl. Phys. 70, R1 (1992).

    Article  ADS  Google Scholar 

  19. A. G. Cullis and L. T. Canham, Nature 353, 335 (1991).

    Article  ADS  Google Scholar 

  20. J. Salonen, V.-P. Lehto, and E. Laine, Appl. Phys. Lett. 70, 637 (1997).

    Article  ADS  Google Scholar 

  21. J. J. Yon, K. Barla, R. Herino, and G. Bomchil, J. Appl. Phys. 62, 1042 (1987).

    Article  ADS  Google Scholar 

  22. L. A. Golovan, V. A. Melnikov, S. O. Konorov, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 73, 115 337 (2006).

    Google Scholar 

  23. L. A. Golovan, D. A. Ivanov, V. A. Melnikov, et al., Appl. Phys. Lett. 88, 241 113 (2006).

    Google Scholar 

  24. I. M. Tiginyanu, I. V. Kravetsky, J. Monecke, et al., Appl. Phys. Lett. 77, 2415 (2000).

    Article  ADS  Google Scholar 

  25. L. A. Golovan’, V. A. Mel’nikov, S. O. Konorov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 78, 229 (2003) [JETP Lett. 78, 193 (2003)].

    Google Scholar 

  26. V. A. Mel’nikov, L. A. Golovan, S. O. Konorov, et al., Appl. Phys. B 79, 225 (2004).

    Google Scholar 

  27. M. Saito and M. Miyagi, J. Opt. Soc. Am. A 6, 1895 (1989).

    Article  ADS  Google Scholar 

  28. H. Masuda, K. Yada, and A. Osaka, Jpn. J. Appl. Phys. 37, L1340 (1998).

    Article  ADS  Google Scholar 

  29. O. Jessensky, F. Müller, and U. Gösele, Appl. Phys. Lett. 72, 1173 (1998).

    Article  ADS  Google Scholar 

  30. J. de Laet, H. Terryn, and J. Vereecken, Thin Solid Films 320, 241 (1998).

    Article  Google Scholar 

  31. K. Yasui, K. Nishio, H. Nunokawa, and H. Masuda, J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct,—Process., Meas., Phenom. 23, L9 (2005).

    Article  Google Scholar 

  32. H. Masuda, M. Ohya, H. Ason, et al., Jpn. J. Appl. Phys. 38, L1403 (1999).

    Article  ADS  Google Scholar 

  33. M. Srinivasarao, D. Collings, A. Philips, and S. Patel, Science 292, 79 (2001).

    Article  ADS  Google Scholar 

  34. J. L. Mohanan, I. U. Arachchige, and S. L. Brock, Science 307, 397 (2005).

    ADS  Google Scholar 

  35. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Heidelberg, 2001).

    Google Scholar 

  36. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

    Article  ADS  Google Scholar 

  37. L. Pavesi, Nuovo Cimento 20(4), 1 (1997).

    Google Scholar 

  38. G. Vincent, Appl. Phys. Lett. 64, 2367 (1994).

    Article  ADS  Google Scholar 

  39. R. W. Tjerkstra, J. Gómez Rivas, D. Vanmaekelbergh, and J. J. Kelly, Electrochem. Solid State Lett. 5, G32 (2002).

    Article  Google Scholar 

  40. G. Lérondel, R. Romestian, J. C. Vial, and M. Thönissen, Appl. Phys. Lett. 71, 196 (1997).

    Article  ADS  Google Scholar 

  41. U. Grüning and V. Lehmann, Photonic Band Gap Materials, Ed. by C. M. Soukoulis (Kluwer, Berlin, 1996), p. 453.

    Google Scholar 

  42. J. Schilling, F. Müller, S. Matthias, et al. Appl. Phys. Lett. 78, 1180 (2001).

    Article  ADS  Google Scholar 

  43. S. Matthias, F. Müller, and U. Gösele, J. Appl. Phys. 98, 023 524 (2005).

    Google Scholar 

  44. J. Schilling, A. Birner, F. Müller, et al., Opt. Mater. 17, 7 (2001).

    Article  ADS  Google Scholar 

  45. S. Richter, R. Hillebrand, C. Jamois, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 70, 193 302 (2004).

    Google Scholar 

  46. F. Genereux, S. W. Leonard, H. M. van Driel, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 63, 161 101 (2001).

    Google Scholar 

  47. V. A. Tolmachev, L. S. Granitsyna, E. N. Vlasova, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 36, 996 (2002) [Semiconductors 36, 932 (2002)].

    Google Scholar 

  48. H. Masuda, M. Ohya, K. Nishia, et al., Jpn. J. Appl. Phys. 39, L1039 (2000).

    Article  ADS  Google Scholar 

  49. H. Masuda, M. Ohya, H. Asoh, and K. Nishia, Jpn. J. Appl. Phys. 40, L1217 (2001).

    Article  ADS  Google Scholar 

  50. A. V. Ghiner and G. I. Surdutovich, Phys. Rev. A: At., Mol., Opt. Phys. 50, 714 (1994).

    ADS  Google Scholar 

  51. D. Kovalev, H. Heckler, G. Polisski, and F. Koch, Phys. Status Solidi B 215, 871 (1999).

    Article  Google Scholar 

  52. A. M. Campos, J. Torres, and J. J. Giraldo, Surf. Rev. Lett. 9, 1631 (2002).

    Article  Google Scholar 

  53. M. I. Strashnikova, V. L. Voznyĭ, V. Ya. Reznichenko, and V. Ya. Gaĭvoronskiĭ, Zh. Éksp. Teor. Fiz. 120, 409 (2001) [JETP 93, 363 (2001)].

    Google Scholar 

  54. L. A. Golovan’, A. F. Konstantinova, K. B. Imangazieva, et al., Kristallografiya 49(1), 151 (2004) [Crystallogr. Rep. 49, 143 (2004)].

    ADS  Google Scholar 

  55. N. Künzner, J. Diener, E. Gross, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 71, 195 304 (2005).

    Google Scholar 

  56. V. Kochergin and M. Christophersen, Appl. Phys. B: Lasers Opt. 79, 731 (2004).

    Article  ADS  Google Scholar 

  57. J. Monecke, Lithuanian J. Phys. 42, 169 (2002).

    Google Scholar 

  58. M. I. Strashnikova, Opt. Spektrosk. 93, 142 (2002) [Opt. Spectrosc. 93, 132 (2002)].

    Article  ADS  Google Scholar 

  59. D. Kovalev, G. Polisski, J. Diener, et al., Appl. Phys. Lett. 78, 916 (2001).

    Article  ADS  Google Scholar 

  60. E. Gross, D. Kovalev, and N. Künzner, J. Appl. Phys. 90, 3529 (2001).

    Article  ADS  Google Scholar 

  61. J. Pastrnak and K. Vedam, Phys. Rev. B: Condens. Matter Mater. Phys. 3, 2567 (1971).

    ADS  Google Scholar 

  62. M. E. Kompan, Ya. Salonen, and I. Yu. Shabanov, Zh. Éksp. Teor. Fiz. 117, 368 (2000) [JETP 90, 324 (2000)].

    Google Scholar 

  63. N. Künzner, D. Kovalev, J. Diener, et al., Opt. Lett. 26, 1265 (2001).

    ADS  Google Scholar 

  64. O. G. Sarbeĭ, E. K. Frolova, R. D. Fedorovich, and D. B. Dan’ko, Fiz. Tverd. Tela (St. Petersburg) 42, 1205 (2000) [Phys. Solid State 42, 1240 (2000)].

    Google Scholar 

  65. I. Mihalcescu, G. Lerondel, and R. Romestain, Thin Solid Films 297, 245 (1997).

    Article  ADS  Google Scholar 

  66. L. P. Kuznetsova, A. I. Efimova, L. A. Osminkina, et al., Fiz. Tverd. Tela (St. Petersburg) 44, 780 (2002) [Phys. Solid State 44, 811 (2002)].

    Google Scholar 

  67. E. M. Voronkova, B. N. Grechushnikov, G. I. Distler, and I. P. Petrov, Optical Materials for IR Applications (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  68. D. E. Aspnes and A. A. Studna, Phys. Rev. B: Condens. Matter Mater. Phys. 27, 985 (1983).

    ADS  Google Scholar 

  69. L. A. Golovan’, P. K. Kashkarov, V. Yu. Timoshenko, and A. M. Zheltikov, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 2, 31 (2005).

    Google Scholar 

  70. P. K. Kashkarov, L. A. Golovan, A. B. Fedotov, et al., J. Opt. Soc. Am. 19, 2273 (2002).

    Article  ADS  Google Scholar 

  71. S. V. Zabotnov, S. O. Konorov, L. A. Golovan’, et al., Zh. Éksp. Teor. Fiz. 99, 36 (2004) [JETP 72, 28 (2004)].

    Google Scholar 

  72. M. Meier and A. Wokaun, Opt. Lett. 8, 581 (1983).

    ADS  Google Scholar 

  73. A. Wokaun, J. P. Gordon, and P. F. Liao, Phys. Rev. Lett. 48, 957 (1982).

    Article  ADS  Google Scholar 

  74. O. J. F. Martin and N. B. Piller, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 58, 3909 (1998).

    ADS  Google Scholar 

  75. S. V. Zabotnov, Candidate’s Dissertation in Physics and Mathematics (MGU, Moscow, 2006).

    Google Scholar 

  76. V. Yu. Timoshenko, L. A. Osminkina, A. I. Efimova, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 67, 113 405 (2003).

  77. V. Yu. Timoshenko, L. A. Osminkina, A. I. Efimova, et al., Phys. Status Solidi C 2, 3461 (2005).

    Article  ADS  Google Scholar 

  78. I. M. Tiginyanu, I. V. Kravetsky, S. Langa, et al., Phys. Status Solidi A 197, 549 (2003).

    Article  ADS  Google Scholar 

  79. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984; Nauka, Moscow, 1989).

    Google Scholar 

  80. V. A. Mel’nikov, L. A. Golovan’, V. Yu. Timoshenko, et al., Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 4, 43 (2003).

    Google Scholar 

  81. A. A. Lyutich and I. S. Molchan, Opt. Spektrosk. 97, 871 (2004) [Opt. Spectrosc. 97, 817 (2004)].

    Article  Google Scholar 

  82. A. A. Lutich, M. B. Danailov, S. Volchek, et al., Appl. Phys. B 84, 327 (2006).

    Article  ADS  Google Scholar 

  83. J. Diener, N. Künzner, D. Kovalev, et al., Appl. Phys. Lett. 78, 3887 (2001).

    Article  ADS  Google Scholar 

  84. J. Diener, N. Künzner, E. Gross, et al., Opt. Lett. 29, 195 (2004).

    Article  ADS  Google Scholar 

  85. I. V. Soboleva, E. M. Murchikova, A. A. Fedyanin, and O. A. Aktsipetrov, Appl. Phys. Lett. 87, 241110 (2005).

    Google Scholar 

  86. D. R. Solli, C. F. McCormick, R. Y. Chiao, and J. M. Hickmann, J. Appl. Phys. 93, 9429 (2003).

    Article  ADS  Google Scholar 

  87. G. P. Nordin and P. C. Deguzman, Opt. Express 5, 163 (1999).

    Article  ADS  Google Scholar 

  88. E. V. Astrova, T. S. Rerova, V. A. Tolmachev, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 37, 417 (2003) [Semiconductors 37, 399 (2003)].

    Google Scholar 

  89. E. Yu. Krutkova, V. Yu. Timoshenko, L. A. Golovan’, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 40, 855 (2006) [Semiconductors 40, 834 (2006)].

    Google Scholar 

  90. H. W. Tan, H. M. van Driel, S. L. Schweizer, et al., Phys. Rev. B: Condens. Matter Mater. Phys. 70, 205110 (2004).

    Google Scholar 

  91. A. D. Remenyuk, E. V. Astrova, R. F. Vitman, et al., Fiz. Tverd. Tela (St. Petersburg) 48, 361 (2006) [Phys. Solid State 48, 384 (2006)].

    Google Scholar 

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  1. Moscow State University, Leninskie gory, Moscow, 119992, Russia

    L. A. Golovan’, P. K. Kashkarov & V. Yu. Timoshenko

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  1. L. A. Golovan’
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Original Russian Text © L.A. Golovan’, P.K. Kashkarov, V.Yu. Timoshenko, 2007, published in Kristallografiya, 2007, Vol. 52, No. 4, pp. 697–710.

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Golovan’, L.A., Kashkarov, P.K. & Timoshenko, V.Y. Form birefringence in porous semiconductors and dielectrics: A review. Crystallogr. Rep. 52, 672–685 (2007). https://doi.org/10.1134/S1063774507040153

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