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Photonic Crystals: An Introductory Survey

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Organic and Hybrid Photonic Crystals

Abstract

Photonic crystals, namely materials whose dielectric function is periodic in real space, are very suited to control light propagation and emission, as well as many linear and nonlinear processes involving radiation–matter interaction. This chapter gives an introduction to a few basic theoretical concepts related to photonic crystals of various dimensionalities. After presenting the general properties of Maxwell equations in periodic media, leading to the concepts of photonic bands and photonic band gaps (PBGs), we discuss the main features of photonic crystals in one, two, and three dimensions and in waveguide-embedded photonic crystals. We shall also treat defects and microcavities in photonic crystals, which lead to localized defect modes within a PBG.

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References

  1. M. Born, E. Wolf, Principles of Optics, 7th edn. (Cambridge University Press, Cambridge, 1999)

    Book  Google Scholar 

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

    Article  Google Scholar 

  3. S. John, Phys. Rev. Lett. 58, 2486 (1987)

    Article  Google Scholar 

  4. E. Yablonovitch, Photonic crystals: Semiconductors of light. Sci. Am. 285(6), 47–55 (2001)

    Article  Google Scholar 

  5. J.D. Joannopoulos, S.G. Johnson, R.D. Meade, J.N. Winn, Photonic Crystals: Molding the Flow of the Light, 2nd edn. (Princeton University, Princeton, 2008)

    Google Scholar 

  6. K. Sakoda, Optical Properties of Photonic Crystals, 2nd edn. Springer Series in Optical Sciences, vol. 80 (Springer, Berlin, 2001)

    Google Scholar 

  7. K. Busch, S. Lölkes, R.B. Wehrspohn, H. Föll, Photonic Crystals Advances in Design, Fabrication and Characterization (Wiley-VCH, Weinheim, 2004)

    Book  Google Scholar 

  8. J.-M. Lourtioz, H. Benisty, V. Berger, J.-M. Gérard, D. Maystre, A. Tchelnokov, Photonic Crystals (Springer, Berlin, 2005)

    Google Scholar 

  9. C. Weisbuch, H. Benisty, Photonic crystals, in Progress in Optics, vol. 49, ed. by E. Wolf (Elsevier, Amsterdam, 2006), pp. 177–313

    Google Scholar 

  10. C. Sibilia, T.M. Benson, M. Marciniak, T. Szoplik (eds.), Photonic Crystals: Physics and Technology (Springer, Milano, 2008)

    Google Scholar 

  11. M. Barth, A. Gruber, F. Cichos, Phys. Rev. B 72, 085129 (2005)

    Article  Google Scholar 

  12. E. Yeganegi, A. Lagendijk, A.P. Mosk, W.L. Vos, Phys. Rev. B 89, 045123 (2014)

    Article  Google Scholar 

  13. A. Yariv, P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th edn. Oxford Series in Electrical and Computer Engineering (Oxford University Press, Oxford, 2006)

    Google Scholar 

  14. J.M. Bendickson, J.P. Dowling, M. Scalora, Phys. Rev. E 53, 4107 (1996)

    Article  Google Scholar 

  15. M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, J.W. Haus, Phys. Rev. E 56, 3166 (1997)

    Article  Google Scholar 

  16. K.O. Hill, G. Meltz, J. Lightwave Technol. 15, 1263 (1997)

    Article  Google Scholar 

  17. J.H. Apfel, Appl. Opt. 20, 1024 (1981)

    Article  Google Scholar 

  18. J.H. Apfel, Appl. Opt. 21, 733 (1982)

    Article  Google Scholar 

  19. G. Panzarini, L.C. Andreani, A. Armitage, D. Baxter, M.S. Skolnick, V.N. Astratov, J.S. Roberts, A.V. Kavokin, M.R. Vladimirova, M.A. Kaliteevski, Phys. Rev. B 59, 5082 (1999)

    Article  Google Scholar 

  20. G. Panzarini, L.C. Andreani, A. Armitage, D. Baxter, M.S. Skolnick, V.N. Astratov, J.S. Roberts, A.V. Kavokin, M.R. Vladimirova, M.A. Kaliteevski, Phys. Solid State 41, 1223 (1999)

    Article  Google Scholar 

  21. S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S.H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, A. Forchel, Appl. Phys. Lett. 90, 251109 (2007)

    Article  Google Scholar 

  22. N. Valappil, M. Luberto, V.M. Menon, I. Zeylikovich, T.K. Gayen, J. Franco, B.B. Das, R.R. Alfano, Photonics Nanostruct. Fundam. Appl. 5, 184 (2007)

    Article  Google Scholar 

  23. L. Frezza, M. Patrini, M. Liscidini, D. Comoretto, J. Phys. Chem. C 115, 19939 (2011)

    Article  Google Scholar 

  24. G. Canazza, F. Scotognella, G. Lanzani, S. De Silvestri, M. Zavelani-Rossi, D. Comoretto, Laser Phys. Lett. 11, 035804 (2014)

    Article  Google Scholar 

  25. G. Björk, S. Machida, Y. Yamamoto, K. Igeta, Phys. Rev. A 44, 669 (1991)

    Article  Google Scholar 

  26. S. Ciancaleoni, P. Mataloni, O. Jedrkiewicz, F. De Martini, J. Opt. Soc. Am. B 14, 1556 (1997)

    Article  Google Scholar 

  27. C. Dill, R.P. Stanley, U. Oesterle, D. Ochoa, M. Ilegems, Appl. Phys. Lett. 73, 3812 (1998)

    Article  Google Scholar 

  28. F.S. Juang, L.H. Laih, C.J. Lin, Y.J. Hsu, Jpn. J. Appl. Phys. 41, 2787 (2002)

    Article  Google Scholar 

  29. J. Schilling, R.B. Wehrspohn, A. Birner, F. Müller, R. Hillebrand, U. Gösele, S.W. Leonard, J.P. Mondia, F. Genereux, H.M. van Driel, P. Kramper, V. Sandoghdar, K. Busch J. Opt. A Pure Appl. Opt. 3, S121 (2001)

    Article  Google Scholar 

  30. P. Russell, Science 299, 358 (2003)

    Article  Google Scholar 

  31. W. Su, S. Lou, H. Zou, B. Han, Infrared Phys. Technol. 63, 62 (2014)

    Article  Google Scholar 

  32. P. Song, Optik 125, 1330 (2014)

    Article  Google Scholar 

  33. C. Markos, I. Kubat, O. Bang, Sci. Rep. 4, 6057 (2014)

    Article  Google Scholar 

  34. Z.V. Vardeny, A. Nahata, A. Agrawal, Nat. Photonics 7, 177 (2013)

    Article  Google Scholar 

  35. K.M. Ho, C.T. Chan, C.M. Soukoulis Phys. Rev. Lett. 65, 3152 (1990)

    Article  Google Scholar 

  36. E. Yablonovitch, T.J. Gmitter, K.M. Leung Phys. Rev. Lett. 67, 2295 (1991)

    Article  Google Scholar 

  37. M. Hermatschweiler, A. Ledermann, G.A. Ozin, M. Wegener, G. von Freymann, Adv. Funct. Mater. 17, 2273 (2007)

    Article  Google Scholar 

  38. K.M. Ho, C.T. Chan, C.M. Soukoulis, R. Biswas, M. Sigalas, Solid State Commun. 89, 413 (1994)

    Article  Google Scholar 

  39. S. Ogawa, M. Imada, S. Yoshimoto, M. Okano, S. Noda, Science 305, 227 (2004)

    Article  Google Scholar 

  40. A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S.W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J.P. Mondia, G.A. Ozin, O. Toader, H.M. van Driel, Nature 405, 437 (2000)

    Article  Google Scholar 

  41. A.F. Koenderink, L. Bechger, H.P. Schriemer, A. Lagendijk, W.L. Vos, Phys. Rev. Lett. 88, 143903 (2002)

    Article  Google Scholar 

  42. T.F. Krauss, R.M. de la Rue, S. Brand, Nature 383, 699 (1996)

    Article  Google Scholar 

  43. J.H. Wuelbern, M. Schmidt, M. Eich, U. Huebner, R. Boucher, F. Marlow, W. Volksen, Appl. Phys. Lett. 91, 221104 (2007)

    Article  Google Scholar 

  44. X. Gan, H. Clevenson, C.-C. Tsai, L. Li, D. Englund, Sci. Rep. 3, 2145 (2013)

    Google Scholar 

  45. L.C. Andreani, M. Agio, IEEE J. Quantum Electron. 38, 891 (2002)

    Article  Google Scholar 

  46. L.C. Andreani, D. Gerace, Phys. Rev. B 73, 235114 (2006)

    Article  Google Scholar 

  47. M. Galli, A. Politi, M. Belotti, D. Gerace, M. Liscidini, M. Patrini, L.C. Andreani, M. Miritello, A. Irrera, F. Priolo, Y. Chen, Appl. Phys. Lett. 88, 251114 (2006)

    Article  Google Scholar 

  48. R. Lo Savio, M. Galli, M. Liscidini, L.C. Andreani, G. Franz, F. Iacona, M. Miritello, A. Irrera, D. Sanfilippo, A. Piana, F. Priolo, Appl. Phys. Lett. 104, 121107 (2014)

    Article  Google Scholar 

  49. L. Carroll, D. Gerace, I. Cristiani, S. Menezo, L.C. Andreani, Opt. Express 21, 21556 (2013)

    Article  Google Scholar 

  50. L. Carroll, D. Gerace, I. Cristiani, L.C. Andreani, Opt. Express 22, 14769 (2014)

    Article  Google Scholar 

  51. L.C. Andreani, A. Bozzola, P. Kowalczewski, M. Liscidini, Sol. Energy Mater. Sol. Cells (2014). doi:10.1016/j.solmat.2014.10.012

    Google Scholar 

  52. D. Gerace, L.C. Andreani, Opt. Lett. 29, 1897 (2004)

    Article  Google Scholar 

  53. D. Gerace, L.C. Andreani, Opt. Express 13, 4939 (2005)

    Article  Google Scholar 

  54. L.C. Andreani, D. Gerace, Phys. Status Solidi (b) 244, 3528 (2007)

    Google Scholar 

  55. S. Hughes, L. Ramunno, J.F. Young, J.E. Sipe, Phys. Rev. Lett. 94, 033903 (2005)

    Article  Google Scholar 

  56. M. Patterson, S. Hughes, The disorder problem for slow-light photonic crystal waveguides, in Optical Properties of Photonic Structures: Interplay of Order and Disorder, ed. by M.F. Limonov, R.M. De La Rue. (Taylor and Francis, CRC Press, 2012), pp. 88–131

    Google Scholar 

  57. S. Mazoyer, J.P. Hugonin, P. Lalanne, Phys. Rev. Lett. 103, 063903 (2009)

    Article  Google Scholar 

  58. Y. Akahane, T. Asano, B.S. Song, S. Noda, Nature 425, 944 (2003)

    Article  Google Scholar 

  59. M. Minkov, V. Savona, Sci. Rep. 4, 5124 (2014)

    Article  Google Scholar 

  60. Y. Lai, S. Pirotta, G. Urbinati, D. Gerace, M. Minkov, V. Savona, A. Badolato, M. Galli, Appl. Phys. Lett. 104, 241101 (2014)

    Article  Google Scholar 

  61. B.S. Song, S. Noda, T. Asano, Y. Akahane, Nat. Mat. 4, 207 (2005)

    Article  Google Scholar 

  62. M. Notomi, A. Shinya, A. Mitsugi, S. Kuramochi, H.Y. Ryu, Opt. Express 12, 551 (2004)

    Article  Google Scholar 

  63. E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe, T. Watanabe, Appl. Phys. Lett. 88, 041112 (2006)

    Article  Google Scholar 

  64. H. Sekoguchi, Y. Takahashi, T. Asano, S. Noda, Opt. Express 22, 916 (2014)

    Article  Google Scholar 

  65. M. Notomi, Rep. Prog. Phys. 73, 096501 (2010)

    Article  Google Scholar 

  66. Y. Takahashi, H. Hagino, Y. Tanaka, B.S. Song, T. Asano, S. Noda, Opt. Express 15, 17206 (2007)

    Article  Google Scholar 

  67. M. Galli, D. Gerace, K. Welna, T.F. Krauss, L. O’Faolain, G. Guizzetti, L.C. Andreani, Opt. Express 18, 26613 (2010)

    Article  Google Scholar 

  68. L.C. Andreani, P. Andrich, M. Galli, D. Gerace, L. O’Faolain, T.F. Krauss, Nonlinear optics in silicon photonic crystal nanocavities, in Optical Properties of Photonic Structures: Interplay of Order and Disorder, ed. by M.F. Limonov, R.M. De La Rue (Taylor and Francis, CRC Press, 2012), pp. 361–378

    Chapter  Google Scholar 

  69. F. Priolo, T. Gregorkiewicz, M. Galli, T.F. Krauss, Nat. Nanotechnol. 9, 19 (2014)

    Article  Google Scholar 

  70. M. Fujita, S. Takahashi, Y. Tanaka, T. Asano, S. Noda, Science 308, 1296 (2006)

    Article  Google Scholar 

  71. W.-H. Chang, W.-Y. Chen, H.-S. Chang, T.-P. Hsieh, J.-I. Chyi, T.-M. Hsu, Phys. Rev. Lett. 96, 117401 (2006)

    Article  Google Scholar 

  72. S. Strauf, K. Hennessy, M.T. Rakher, Y.-S. Choi, A. Badolato, L.C. Andreani, E.L. Hu, P.M. Petroff, D. Bouwmeester, Phys. Rev. Lett. 96, 127404 (2006)

    Article  Google Scholar 

  73. K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E.L. Hu, A. Imamoglu, Nature 445, 896 (2007)

    Article  Google Scholar 

  74. S. Ferrett, D. Gerace, Phys. Rev. B 85, 033303 (2012)

    Article  Google Scholar 

  75. A. Majumdar, D. Gerace, Phys. Rev. B 87, 235319 (2013)

    Article  Google Scholar 

  76. E.M. Purcell, Phys. Rev. 69, 681 (1946)

    Article  Google Scholar 

  77. M.D. Birowosuto, H. Sumikura, S. Matsuo, H. Taniyama, P.J. van Veldhoven, R. Nötzel, M. Notomi, Sci. Rep. 2, 321 (2012)

    Article  Google Scholar 

  78. R. Lo Savio, M. Miritello, A. Shakoor, P. Cardile, K. Welna, L.C. Andreani, D. Gerace, T.F. Krauss, L. O’Faolain, F. Priolo, M. Galli, Opt. Express 21, 10278 (2013)

    Article  Google Scholar 

  79. E. Yablonovitch, T.J. Gmitter, Phys. Rev. Lett. 63, 1950 (1989)

    Article  Google Scholar 

  80. M. Galli, D. Bajoni, F. Marabelli, L.C. Andreani, L. Pavesi, G. Pucker, Phys. Rev. B 69, 115107 (2004)

    Article  Google Scholar 

  81. M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, S. Kawakami, Phys. Rev. B 61, 7165 (2000)

    Article  Google Scholar 

  82. V.N. Astratov, D.M. Whittaker, I.S. Culshaw, R.M. Stevenson, M.S. Skolnick, T.F. Krauss, R.M. De La Rue, Phys. Rev. B 60, R16255 (1999)

    Article  Google Scholar 

  83. M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, P. Bellutti, Phys. Rev. B 65, 113111 (2002)

    Article  Google Scholar 

  84. M. Galli, D. Bajoni, F. Paleari, M. Patrini, G. Guizzetti, D. Gerace, M. Agio, L.C. Andreani, D. Peyrade, Y. Chen, IEEE J. Sel. Areas Commun. 23, 1402 (2005)

    Article  Google Scholar 

  85. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, I. Yokohama, Phys. Rev. Lett. 87, 253907 (2001)

    Article  Google Scholar 

  86. M. Galli, M. Belotti, D. Bajoni, M. Patrini, G. Guizzetti, D. Gerace, M. Agio, L.C. Andreani, Y. Chen, Phys. Rev. B 70, 081307(R) (2004)

    Google Scholar 

  87. M. Galli, D. Bajoni, M. Patrini, G. Guizzetti, D. Gerace, L.C. Andreani, M. Belotti, Y. Chen, Phys. Rev. B 72, 125322 (2005)

    Article  Google Scholar 

  88. N. Le Thomas, R. Houdré, L.H. Frandsen, J. Fage-Pedersen, A.V. Lavrinenko, P.I. Borel, Phys. Rev. B 76, 035103 (2007)

    Article  Google Scholar 

  89. Y. Akahane, T. Asano, B.S. Song, S. Noda, Appl. Phys. Lett. 83, 1512 (2003)

    Article  Google Scholar 

  90. R. Lo Savio, S.L. Portalupi, D. Gerace, A. Shakoor, T.F. Krauss, L. O’Faolain, L.C. Andreani, M. Galli, Appl. Phys. Lett. 98, 201106 (2011)

    Article  Google Scholar 

  91. R. Lo Savio, M. Miritello, A. Shakoor, P. Cardile, K. Welna, L.C. Andreani, D. Gerace, T.F. Krauss, L. OF́aolain, F. Priolo, M. Galli, Opt. Express 21, 10278 (2013)

    Google Scholar 

  92. M.W. McCutcheon, G.W. Rieger, I.W. Cheung, J.F. Young, D. Dalacu, S. Frédérick, P.J. Poole, G.C. Aers, R.L. Williams, Appl. Phys. Lett. 87, 221110 (2005)

    Article  Google Scholar 

  93. M. Galli, S.L. Portalupi, M. Belotti, L.C. Andreani, L. O’Faolain, T.F. Krauss, Appl. Phys. Lett. 94, 071101 (2009)

    Article  Google Scholar 

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Liscidini, M., Andreani, L.C. (2015). Photonic Crystals: An Introductory Survey. In: Comoretto, D. (eds) Organic and Hybrid Photonic Crystals. Springer, Cham. https://doi.org/10.1007/978-3-319-16580-6_1

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