Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-28T02:43:33.558Z Has data issue: false hasContentIssue false
  • English
  • Français

Symmetry properties of 2D magnetic photonic crystals with square lattice

Published online by Cambridge University Press:  06 December 2005

V. Dmitriev
V. Dmitriev*
Affiliation:
Department of Electrical and Computer Engineering, University Federal of Para, PO Box 8619, Agencia UFPA, CEP 66075-900, Belem, Para, Brazil
*
[email protected]
Get access

Abstract

We consider possible magnetic symmetries of two-dimensional square lattices with circular ferrite rods magnetized by a uniform dc magnetic field. These structures can be used as tunable and nonreciprocal photonic crystals. Classification of eigenmodes in such crystals and compatibility relations are discussed on the basis of magnetic group theory and the theory of (co)representations. Some general electromagnetic properties of the magnetic crystals such as change in the basic domain of the Brillouin zone, change of symmetry in limiting cases, bidirectionality and nonreciprocity, symmetry relations for the waves and lifting of eigenwave degeneracies by dc magnetic field are also discussed.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 32 , Issue 3 , December 2005 , pp. 159 - 165
Copyright
© EDP Sciences, 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bouckaert, L.P., Smoluchowski, R., Wigner, E., Phys. Rev. 50, 58 (1936) CrossRef
C.J. Bradley, A.P. Cracknell, The Mathematical Theory of Symmetry in Solids (Clarendon, Oxford, 1972)
Ohtaka, K., Tanabe, Y., J. Phys. Soc. Jpn 65, 2670 (1996) CrossRef
Sakoda, K., Phys. Rev. B 52, 7982 (1995) CrossRef
Lyubchanskii, I.L., Dadoenkova, N.N., Lyubchanskii, M.I., Shapovalov, E.A., Rasing, Th., J. Phys. D Appl. Phys. 36, R277 (2003) CrossRef
V. Dmitriev, Tunable and nonreciprocal photonic band-gap materials: group-theoretical approach, in Proc. of the 10th Conference on Complex Media and Metamaterials, Bianisotropics 2004, Ghent, Belgium, September 2004, pp. 20–24
C. Altman, K. Suchy, Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics (Kluwer, Dordrecht, 1991)
W.I. Fushchich, A.G. Nikitin, Symmetries of Maxwell's Equations (D. Reidel Publishing Company, Dordrecht, 1987)
Kushwaha, M., Martinez, G., Phys. Rev. B 65, 153202 (2002) CrossRef
Chun, Xu, Xinhua, Hu, Yizhou, Li, Xiaohan Liu, Rongtang Fu, Jian Zi, Phys. Rev. B 68, 193201 (2003)
Yun-Song Zhou, Ben-Yuan Gu, Fu-He Wang, Eur. Phys. J. B 37, 293 (2004) CrossRef
Figotin, A., Yuri A. Godin, Ilia Vitebsky, Phys. Rev. B 57, 2841 (1998) CrossRef
A.A. Barybin, V.A. Dmitriev, Modern Electrodynamics and Coupled-Mode theory: Application to Guided-Wave Optics (Rinton Press, Princeton, New Jersey, 2002)
Kociński, P., J. Phys.-Cond. Matter 5, 4519 (1993) CrossRef
J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals (Princeton University Press, Princeton, 1995)
A. Gurevich, G. Melkov, Magnetization Oscillations and Waves (CRC, Boca Raton, FL, 1996)
J.O. Dimmock, R.G. Wheeler, Phys. Rev. 127, 391, (1962)
V. Dmitriev, IEEE T. Microwave Theory Tech. MTT-47, 655 (1999)
C.E. Baum, N.H. Kritikos, Electromagnetic Symmetry (Taylor & Francis, Washington, 1995)
Figotin, A., Vitebsky, I., Phys. Rev. D 67, 1655210 (2003)
Nishizawa, H., Nakayama, T., J. Phys. Soc. Jpn 66, 613 (1997) CrossRef
Belov, P.A., Tretyakov, S.A., Viitanen, A.J., Phys. Rev. E 66, 016608 (2002) CrossRef