Abstract
Three-dimensional light diffraction from the crystal structure, formed by closely packed a-SiO2 spheres of submicron size, of samples of synthetic opals was visualized. The diffraction pattern of a monochromatic light beam was established to consist of a series of strong maxima whose number and angular position depend on the wavelength and mutual orientation of the incident beam and the crystallographic planes of the sample. The diffraction patterns were studied under oblique incidence on the (111) growth surface of the sample and with light propagated in the (111) plane in various directions perpendicular to the sample growth axis. The spectral and angular relations of diffracted intensity were studied in considerable detail in both scattering geometries. The experimental data are interpreted in terms of a model according to which the major contribution to the observed patterns is due to Bragg diffraction of light from (111)-type closely packed layers of the face-centered cubic opal lattice. The model takes into account the disorder in the alternation of the (111) layers along the sample growth axis; this disorder gives rise, in particular, to twinning of the fcc opal lattice.
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References
E. Yablonovich, Phys. Rev. Lett. 58, 2059 (1987); S. John, Phys. Rev. Lett. 58 (23), 2486 (1987).
J. D. Joannopoulos, R. D. Mead, and J. N. Winn, Photonic Crystals (Princeton Univ. Press, Princeton, NJ, 1995).
V. N. Astratov, V. N. Bogomolov, A. A. Kaplyanskii, et al., Nuovo Cimento D 17, 1349 (1995).
Yu. A. Vlasov, V. N. Astratov, O. Z. Karimov, et al., Phys. Rev. B 55(13), 357 (1997); S. G. Romanov, A. V. Fokin, V. I. Alperovich, et al., Phys. Status Solidi A 164, 169 (1997).
A. A. Zakhidov, R. H. Baughman, Z. Iqbal, et al., Science 282, 897 (1998); V. G. Golubev, V. A. Kosobukin, D. A. Kurdyukov, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 35 (6), 710 (2001) [Semiconductors 35, 680 (2001)].
V. N. Bogomolov, S. V. Gaponenko, I. N. Germanenko, et al., Phys. Rev. E 55(6), 7619 (1997).
S. G. Romanov, N. P. Johnson, A. V. Fokin, et al., Appl. Phys. Lett. 70(16), 2091 (1997).
J. Wijnhoven and W. L. Vos, Science 281, 802 (1998).
V. N. Bogomolov, A. V. Prokof’ev, and A. I. Shelykh, Fiz. Tverd. Tela (St. Petersburg) 40(4), 648 (1998) [Phys. Solid State 40, 594 (1998)].
A. Reynolds, F. López-Tejeira, D. Cassagne, et al., Phys. Rev. B 60, 11422 (1999).
M. S. Thijssen, R. Sprik, J. J. Wijnhoven, et al., Phys. Rev. Lett. 83, 2730 (1999).
H. Míguez, A. Blanco, F. Meseduer, et al., Phys. Rev. B 59(3), 1563 (1999).
Yu. A. Vlasov, V. N. Astratov, A. V. Baryshev, et al., Phys. Rev. E 61(5), 5784 (2000).
A. Blanco, E. Chomski, S. Grabtchak, et al., Nature 405, 437 (2000).
J. Huang, N. Eradat, M. E. Raikh, et al., Phys. Rev. Lett. 86, 4815 (2001).
J. V. Sanders, Nature 204, 1151 (1964); Nature 209, 13 (1966); Acta Crystallogr. A 24, 427 (1968).
C. Dux and H. Versmold, Phys. Rev. Lett. 78(9), 1811 (1997).
R. M. Amos, J. G. Rarity, and S. C. Kitson, Phys. Rev. B 61(3), 2929 (2000).
C. Kittel, Introduction to Solid State Physics, 6th ed. (Wiley, New York, 1986; Nauka, Moscow, 1978).
L. V. Woodcock, Nature 385, 141 (1997); A. D. Bruce, N. B. Wilding, and G. J. Ackland, Phys. Rev. Lett. 79, 3002 (1977); S.-C. Mau and D. A. Huse, Phys. Rev. E 59, 4396 (1999).
N. D. Deniskina, D. V. Kalinin, and L. K. Kazantseva, Precious Opals, Their Synthesis and Natural Genesis (Nauka, Novosibirsk, 1988), p. 353.
A. V. Baryshev, A. V. Ankudinov, A. A. Kaplyanskii, et al., Fiz. Tverd. Tela (St. Petersburg) 44(9), 1573 (2002) [Phys. Solid State 44, 1648 (2002)].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, 3rd ed. (Nauka, Moscow, 1982; Pergamon, New York, 1984).
J. M. Ziman, Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems (Cambridge Univ. Press, Cambridge, 1979; Mir, Moscow, 1982).
J. C. Slater, Insulators, Semiconductors, and Metals (McGraw-Hill, New York, 1967; Mir, Moscow, 1969).
N. I. Kaliteevskii, Wave Optics, 2nd ed. (Vysshaya Shkola, Moscow, 1995), p. 344.
W. Loose and B. J. Ackerson, J. Chem. Phys. 101(9), 7211 (1994).
B. K. Vainshtein, V. M. Fridkin, and V. L. Indenbom, Modern Crystallography, Vol. 2: Structure of Crystals (Nauka, Moscow, 1979; Springer, Berlin, 1982).
A. V. Ankudinov, private communication.
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Translated from Fizika Tverdogo Tela, Vol. 45, No. 3, 2003, pp. 434–445.
Original Russian Text Copyright © 2003 by Baryshev, Kaplyanski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Kosobukin, Limonov, Samusev, Usvyat.
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Baryshev, A.V., Kaplyanskii, A.A., Kosobukin, V.A. et al. Bragg diffraction of light in synthetic opals. Phys. Solid State 45, 459–471 (2003). https://doi.org/10.1134/1.1562231
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DOI: https://doi.org/10.1134/1.1562231