Abstract
We have studied the peculiarities of diffraction of light in magnetic photonic crystals at large values of magnetooptical activity parameter and modulation depth. We have considered the case of an arbitrary angle between the directions of the external static magnetic field and the normal to the layer. The problem has been solved by the modified Ambartsumyan layer summation method. It has been shown that the given system is nonreciprocal with respect to not only circular, but linear polarizations also. In this case, a new type of nonreciprocity is observed (namely, the relation R(α) ≠ R(–α) holds, where R is the reflection coefficient and α is the angle of incidence). It has been demonstrated that in the case of oblique incidence, there appears a new photonic forbidden band that is not selective relative to the polarization of incident light. We have detected strong dependences of reflectance, absorbance, transmittance nonreciprocity, and other characteristics on the angle between the direction of the external static magnetic field and the normal to the layer boundary. Such a system can be used as a controllable polarization filter and a mirror, as well as a source of circular (elliptic) polarization, a controllable optical diode, and so on.
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References
G. A. Smolenskii and V. V. Lemanov, Ferrites and Their Technical Application (Nauka, Leningrad, 1975) [in Russian].
K. Zvezdin and V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials (Inst. Phys. Publ., Bristol, Philadelphia, 1997).
V. V. Randoshkin and A. Ya. Chervonenkis, Applied Magnetooptics (Energoatomizdat, Moscow, 1990) [in Russian].
O. V. Ivanov and D. I. Sementsov, Pure Appl. Opt. 6, 455 (1997).
A. Figotin and I. Vitebsky, Phys. Rev. E 63, 066609 (2001).
A. Figotin and I. Vitebskiy, Phys. Rev. B 67, 165210 (2003).
A. B. Khanikaev and M. J. Steel, Opt. Express 17, 5265 (2009).
S. Sakaguchi and N. Sugimoto, Opt. Commun. 162, 64 (1999).
A. M. Merzlikin, A. P. Vinogradov, A. V. Dorofeenko, M. Inoue, M. Levy, and A. B. Granovsky, Phys. B 394, 277 (2007).
A. M. Merzlikin, M. Levy, A. P. Vinogradov, Z. Wu, and A. A. Jalali, Opt. Commun. 283, 4298 (2010).
F. Jonsson and C. Flytzanis, J. Opt. Soc. Am. B 22, 293 (2005).
I. L. Lyubchanskii, N. N. Dadoenkova, M. I. Lyubchanskii, E. A. Shapovalov, and T. Rasing, J. Phys. D 36, R277 (2003).
M. Inoue, R. Fujikawa, A. Baryshev, A. Khanikaev, P. B. Lim, H. Uchida, O. Aktsipetrov, A. Fedyanin, T. Murzina, and A. Granovsky, J. Phys. D 39, R151 (2006).
H. F. Zhang, S. B. Liu, X. K. Kong, and B. X. Li, Eur. Phys. J. D 67, 169 (2013).
H. Kato and M. Inoue, J. Appl. Phys. 91, 7017 (2002).
H. Kato, T. Matsushita, A. Takayama, M. Egawa, K. Nishimura, and M. Inoue, IEEE Trans. Magn. 38, 3246 (2002).
W. Smigaj, J. Romero-Vivas, B. Gralak, L. Magdenko, B. Dagens, and M. Vanwolleghem, Opt. Lett. 35, 568 (2010).
Q. Wang, Z. Ouyang, and Q. Liu, J. Opt. Soc. Am. B 28, 703 (2011).
S. Eliseeva and D. Sementsov, Phys. Solid State 54, 1981 (2012).
S. V. Eliseeva, V. A. Ostatochnikov, and D. I. Sementsov, J. Magn. Magn. Mater. 354, 267 (2014).
R. Abdi-Ghaleh and M. Asad, Eur. Phys. J. D 69, 13 (2015).
J. L. Arce-Diego, R. Lopez-Ruisanchez, J. M. Lopez-Higuera, and M. A. Muriel, Opt. Lett. 22, 603 (1997).
G. Wang, J. P. Huang, and K. W. Yu, Opt. Lett. 33, 2200 (2008).
G. Armelles, A. Cebollada, A. García-Martín, and M. U. González, Adv. Opt. Mater. 1, 10 (2013).
C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, Phys. Rev. B 64, 235422 (2001).
J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, Small 4, 202 (2008).
V. I. Belotelov, I. A. Akimov, M. Pohl, V. A. Kotov, S. Kasture, A. S. Vengurlekar, A. V. Gopal, D. R. Yakovlev, A. K. Zvezdin, and M. Bayer, Nat. Nanotechnol. 6, 370 (2011).
J. Chin, T. Steinle, T. Wehlus, D. Dregely, T. Weiss, V. L. Belotelov, B. Stritzker, and H. Giessen, Nat. Commun. 4, 1599 (2013).
V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. M. García-Martín, T. Thomay, A. Leitenstorfer, and R. Bratschitsch, Nat. Photon. 4, 107 (2010).
I. F. Gismyatov and D. I. Sementsov, Opt. Spectrosc. 92, 588 (2002).
A. H. Gevorgyan and G. K. Matinyan, J. Exp. Theor. Phys. 118, 771 (2014).
A. H. Gevorgyan and M. Z. Harutyunyan, Phys. Rev. E 76, 031701 (2007).
R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, New York, 1977).
A. H. Gevorgyan, Opt. Spectrosc. 91, 762 (2001).
O. S. Eritsyan, Sov. Phys. Usp. 25, 919 (1982).
A. H. Gevorgyan, Tech. Phys. 47, 1008 (2002).
M. Scalora, J. P. Dowling, et al., J. Appl. Phys. 76, 2023 (1994).
L. Poladian, Phys. Rev. E 54, 2963 (1996).
M. Scalora, D. Tocci, et al., Appl. Phys. Lett. 66, 2324 (1995).
A. H. Gevorgyan, Tech. Phys. Lett. 29, 819 (2003).
A. H. Gevorgyan, Tech. Phys. Lett. 34, 22 (2008).
Z. Yu and Z. Wang, Appl. Phys. Lett. 90, 121133 (2007).
A. Alberucci and G. Assanto, Opt. Lett. 33, 1641 (2008).
X. Hu, C. Xin, Z. Li, and Q. Gong, New J. Phys. 12, 023029 (2010).
X.-B. Kang, W. Tan, et al., Chin. Phys. Lett. 27, 074204 (2010).
H.-X. Da, Z.-Q. Huang, and Z.-Y. Li, J. Appl. Phys. 108, 063505 (2010).
C. Xue, H. Jiang, and H. Chen, Opt. Express 18, 7479 (2010).
Q. Wang, F. Xu, et al., Opt. Express 18, 7340 (2010).
A. F. Bukhanko, Opt. Spectrosc. 110, 281 (2011).
S. V. Zhukovsky and A. G. Smirnov, Phys. Rev. A 83, 023818 (2011).
X. Hu, Z. Li, et al., Adv. Funct. Mat. 21, 1803 (2011).
X. Hu, Z. Li, et al., Plasmonics 6, 619 (2011).
K. Xiu-Bao, T. Wei, et al., Chin. Phys. Lett. 27, 074204 (2010).
H.-X. Da, Z.-Q. Huang, and Z.-Y. Li, J. Appl. Phys. 108, 063505 (2010).
C. Menzel, C. Helgert, et al., Phys. Rev. Lett. 104, 253902 (2010).
M. Kang, J. Chen, et al., Opt. Express. 19, 8347 (2011).
I. V. Shadrivov, V. A. Fedotov, et al., New J. Phys. 13, 033025 (2011).
J. Li, J. Zhou, M. Yang, C. Xue, and M. He, Opt. Lett. 11, 030503 (2011).
C. P. Yin, T. B. Wang, and H. Z. Wang, Eur. Phys. J. B 85, 104 (2012).
H. Zhou, J. Chee, J. Song, and G. Lo, Opt. Express 20, 8256 (2012).
L. Fan, J. Wang, et al., Science 335, 447 (2012).
H. Li, Z. Deng, J. Huang, Sh. Fu, and Y. Li, arXiv:1505.02660v2 [physics.optics].
K. Jamshidi-Ghaleh, Z. Safari, and F. Moslemi, Eur. Phys. J. D 69, 95 (2015).
T. F. Assuncao, E. M. Nasimento, and M. L. Lira, Phys. Rev. E 90, 022901 (2014).
U. S. Hasar, J. J. Barroso, et al., Photon. Nanostruct.: Fund. Appl. 13, 106 (2015).
Z. Wang, L. Shi, Y. Liu, X. Xu, and X. Zhang, Sci. Rep. 5, 8657 (2015).
Y. Zhou, Y.-Q. Dong, et al., Appl. Phys. Lett. 105, 041114 (2014).
C. Wang, C.-Z. Zhou, and Z.-Y. Li, Opt. Express 19, 26948 (2011).
Y. Shoji and T. Mizumoto, Sci. Technol. Adv. Mater. 15, 014602 (2014).
L. Lu, J. D. Joannopoulos, and M. Soljacic, Nat. Photon. 8, 821 (2014).
Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacic, Nature 461, 772 (2009).
M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Nat. Phys. 7, 907 (2011).
H. Altug, D. Englund, and J. Vuckovic, Nat. Phys. 2, 484 (2006).
P. Lodahi, A. F. van Driel, et al., Nature (London, U. K.) 430, 654 (2004).
R. V. Nair, A. K. Tiwari, S. Mujumdar, and B. N. Jagatap, Phys. Rev. A 85, 023844 (2012).
M. Bobrovsky, T. F. Krauss, et al., Appl. Phys. Lett. 75, 1036 (1999).
C. Santori, D. Fattal, et al., Nature (London, U. K.) 419, 594 (2002).
J. Kim, O. Benson, H. Kan, and Y. Yamamoto, Nature (London, U. K.) 397, 500 (1999).
P. Michler, A. Kiraz, et al., Science 290, 2282 (2000).
A. Kuhn, M. Henric, and G. Rempe, Phys. Rev. Lett. 89, 067901 (2002).
M. Gratzel, Nature (London, U. K.) 414, 338 (2001).
L. Zeng, P. Bermel, Y. Yi, et al., Appl. Phys. Lett. 93, 221105 (2008).
A. H. Gevorgyan, A. Kocharian, and G. A. Vardanyan, Opt. Commun. 259, 455 (2006).
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Original Russian Text © A.H. Gevorgyan, S.S. Golik, 2017, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 152, No. 1, pp. 30–44.
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Gevorgyan, A.H., Golik, S.S. Optical properties of magnetic photonic crystals with an arbitrary magnetization orientation. J. Exp. Theor. Phys. 125, 22–34 (2017). https://doi.org/10.1134/S1063776117060103
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DOI: https://doi.org/10.1134/S1063776117060103