Abstract
Experimental and theoretical results of studying the properties of globular photonic crystals are presented. Using a simple one-dimensional model of globular photonic crystals, we obtained the dispersion law for three photonic branches. We calculated the dependences of the group velocity and photonic effective mass on the wave vector. We showed that for photons corresponding to the photonic-branch edge, the velocity of its motion goes to zero; we call such type of photons “slowtons.” The coherent emission of slowtons can appear inside globular photonic crystals, if the energy of exciting photons outside the crystal is close to the forbidden-gap energy of such crystals. The conditions of forming the slowtonic bound states were established. The symmetry properties of such bound states differ from the properties of spare photonic states.
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A. V. Baryshev, A. A. Kaplyanskii, V. A. Kosobukin, M. F. Limonov, K. B. Samusev, and D. E. Usvyat, Fiz. Tverd. Tela, 45, 434 (2003).
V. N. Astratov, V. N. Bogomolov, A. A. Kaplyanskii, A. V. Prokofiev, L. A. Samoilovich, S. M. Samoilovich, and Yu. A. Vlasov, Nuovo Cimento D, 17, 1349 (1995).
V. N. Bogomolov, S. V. Gaponenko, I. N. Germanenko, A. M. Kapitonov, E. P. Petrov, N. V. Gaponenko, A. V. Prokofiev, A. N. Ponyavina, N. I. Silvanovich, and S. M. Samoilovich, Phys. Rev. E, 55, 7619 (1997).
S. G. Romanov, N. P. Johnson, A. V. Fokin, V. Y. Butko, and C. M. Sotomayor Torres, Appl. Phys. Lett., 70, 2091 (1997).
J. Wijnhoven and W. L. Vos, Science, 281, 802 (1998).
V. N. Bogomolov, A. V. Prokofiev, and A. I. Shelyh, Fiz. Tverd. Tela, 40, 648 (1998).
A. Reynolds, F. Lopez-Tejeira, D. Cassagne, F. J. Garcia-Vidal, C. Jouanin, and J. Sanchez-Dehesa, Phys. Rev. B, 60, 422 (1999).
M. S. Thijssen, R. Sprik, J. J. Wijnhoven, M. Megens, T. Narayanan, A. Lagendijk, and W. L. Vos, Phys. Rev. Lett., 83, 2730 (1999).
H. Miguez, A. Blanco, F. Meseduer, C. Lopez, H. M. Yates, M. E. Pemble, V. Fornes, and A. Mifsud, Phys. Rev. B, 59, 1563 (1999).
A. Blanco, E. Chomski, S. Grabtchak, M. Ibsate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miduez, J. P. Mondia, G. A. Ozin, O. Toader, and H. M. van Driel, Nature, 405, 437 (2000).
J. Huang, N. Eradat, M. E. Raikh, Z. V. Vardeny, A. A. Zakhidov, and R. H. Baughman, Phys. Rev. Lett., 86, 4815 (2001).
Yu. A. Vlasov, V. N. Astratov, A. V. Baryshev, A. A. Kaplyanskii, O. Z. Karimov, and M. F. Limonov, Phys. Rev. E, 61, 5784 (2000).
V. M. Maslov, E. N. Samarov, G. I. Volkodav, G. A. Emelchenko, A. V. Bazhenov, S. I. Bozhko, I. A. Karpov, A. N. Grusintsev, and E. E. Yakimov, Fiz. Tekh. Poluprovod., 38, 884 (200).
V. P. Bykov, J. Éksp. Teor. Fiz., 35, 269 (1972).
E. Yablonovitch, Phys. Rev. Lett., 58, 2059 (1987).
S. John, Phys Rev. Lett., 58, 2486 (1987).
V. S. Gorelik, “Dynamics of the lattice model of the media and physical vacuum,” in: M. C. Duffy, V. O. Gladyshev, A. N. Morozov, and P. Rowlands (eds.), Physical Interpretation of Relativity [in Russian], Bauman Moscow State Technical University, Moscow (2005), pp. 70–76.
Yu. Ya. Golub and V. S. Gorelik, “Positive and negative values of the refraction index and effective mass in globular photonic crystal,” in: M. C. Duffy, V. O. Gladyshev, A. N. Morozov, and P. Rowlands (eds.), Physical Interpretation of Relativity [in Russian], Bauman Moscow State Technical University, Moscow (2005), pp. 282–287.
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Manuscript submitted by the authors in English on June 21, 2006.
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Gorelik, V.S. Coherent and bound photonic states in globular photonic crystals. J Russ Laser Res 27, 437–449 (2006). https://doi.org/10.1007/s10946-006-0025-9
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DOI: https://doi.org/10.1007/s10946-006-0025-9