Abstract
Magnetization, either spontaneous or field-induced, is always associated with nonreciprocal circular birefringence which breaks the reciprocity principle and qualitatively changes electrodynamics of medium. In magnetic photonic crystals and other periodic structures involving magnetic components, broken reciprocity can result in electromagnetic unidirectionality, when the traveling waves can only propagate in one the two opposite directions. The unidirectional wave propagation can only occur if both time reversal and space inversion symmetries of the periodic structure are broken. During the last decade there have been numerous publications devoted to this kind of phenomenon. Our goal is to present some of those ideas.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
L. Landau, E. Lifshitz, L. Pitaevskii, Electrodynamics of continuous media (Pergamon, New York, 1984)
A. Figotin, I. Vitebskiy, Phys. Rev. B 63, 066609 (2001)
A. Figotin, I. Vitebskiy, Phys. Rev. B 67, 165210 (2003)
S. Raghu, F. Haldane, arXiv:cond-mat/0602501v3
F. Haldane, S. Raghu, Phys. Rev. Lett. 100, 013904 (2008)
Z. Wang, Y. Chong, J. Joannopoulos, M. Soljac, Phys. Rev. Lett. 100, 013905 (2008)
Z. Yu, G. Veronis, Z. Wang, S. Fan, Phys. Rev. Lett. 100, 023902 (2008)
Z. Wang, Y. Chong, J. Joannopoulos, M. Soljacic, Nature 461, 772 (2009)
E. Yablonovitch, Nature 461, 744 (2009)
I. Vitebsky, J. Edelkind, E. Bogachek, U. Landman, Phys. Rev. B 55, 12566 (1997)
H. How, C. Vittoria, Phys. Rev. B 39, 6823 (1989)
H. How, C. Vittoria, Phys. Rev. B 39, 66331 (1989)
A. Freeman, H. Schmid, Magnetoelectric Interaction Phenomena in Crystals (Gordon and Breach, New York, 1979)
M. Fiebig, J. Phys. D, Appl. Phys. 38, R123 (2005)
T. O’Dell, The Electrodynamics of Magnetoelectric Media (North-Holland, Amsterdam, 1970)
A. Gurevich, G. Melkov, Magnetization Oscillations and Waves (CRC Press, Boca Raton, 1996)
A. Figotin, I. Vitebskiy, Laser Photonics Rev. 5, 201 (2011)
A. Figotin, I. Vitebskiy, Phys. Rev. B 77, 104421 (2008)
M. Inoue et al., J. Phys. D, Appl. Phys. 39, R151 (2006)
M. Inoue, T. Fujii, J. Appl. Phys. 81, 5659 (1997)
M. Inoue, K. Arai, J. Appl. Phys. 83, 6768 (1998)
M. Inoue, K. Arai, T. Fuji, M. Abe, J. Appl. Phys. 85, 5768 (1999)
I. Lyubchanskii, N. Dadoenkova, M. Lyubchanskii, E. Shapovalov, T. Rasing, J. Phys. D, Appl. Phys. 36, R277 (2003)
M. Levy, R. Li, Appl. Phys. Lett. 89, 121113 (2006)
M. Levy, A.A. Jalali, J. Opt. Soc. Am. B 24, 1603 (2007)
S. Khartsev, A. Grishin, J. Appl. Phys. 101, 053906 (2007)
S. Kahl, A. Grishin, Appl. Phys. Lett. 84, 1438 (2004)
C.-W. Nana, M. Bichurin, S. Dongb, D. Viehland, G. Srinivasan, J. Appl. Phys. 103, 031101 (2008)
K. Bi, Y. Wang, D. Panb, W. Wua, Scr. Mater. 63, 589 (2010)
C. Bender, S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998)
T. Kottos, Nat. Phys. 6, 166 (2010)
Acknowledgements
The research was supported through Dr. A. Nachman of the U.S. Air Force Office of Scientific Research and the Air Force Research Lab Metamaterial Portfolio.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Figotin, A., Vitebskiy, I. (2013). Electromagnetic Unidirectionality in Magnetic Photonic Crystals. In: Inoue, M., Levy, M., Baryshev, A. (eds) Magnetophotonics. Springer Series in Materials Science, vol 178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35509-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-35509-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35508-0
Online ISBN: 978-3-642-35509-7
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)