2D magnetic photonic crystals with square lattice-group theoretical standpoint

Progress in Electromagnetics Research

Volumn 58, Issue , 2006, Pages 71-100

  Dmitriev, V ^a  

^a FEDERAL UNIVERSITY OF PARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947104527     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER05061701     Document Type: Article

References (26)

1. Bouckaert, L. P., R. Smoluchowski, and E. Wigner, "Theory of Brillouin zones and symmetry properties of wave functions in crystals," Phys. Rev., Vol. 50, 58-67, 1936.
2. Bradley, C. J. and A. P. Cracknell, The Mathematical Theory of Symmetry in Solids, Clarendon, Oxford, 1972.
3. Ohtaka, K. and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn., Vol. 65, 2670-2684, 1996.
4. Sakoda, K., "Symmetry, degeneracy and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B, Vol. 52, 7982-7986, 1995.
5. Lyubchanskii, I. L., N. N. Dadoenkova, M. I. Lyubchanskii, E. A. Shapovalov, and Th. Rasing, "Magnetic photonic crystals," J. Phys. D: Appl. Phys., Vol. 36, R277-R287, 2003.
6. Dmitriev, V., "Tunable and nonreciprocal photonic band-gap materials: group-theoretical approach," Proc. of the 10th Conference on Complex Media and Metamaterials, Bianisotropics 2004, 20-24, 2004.
7. Altman, C. and K. Suchy, Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics, Kluwer, Dordrecht, 1991.
8. Fushchich, W. I. and A. G. Nikitin, Symmetries of Maxwell's Equations, D. Reidel Publishing Company, Dordrecht, 1987.
9. Kushwaha, M. and G. Martinez, "Magnetic-field-dependent band gaps in two-dimensional photonic crystals," Phys. Rev. B, Vol. 65, 153202, 2002.
10. Xu, C., X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, "Semiconductor-based tunable photonic crystals by means of an external magnetic field," Phys. Rev. B, Vol. 68, 193201, 2003.
11. Zhou, Y.-S., B.-Y. Gu, and F.-H. Wang, "Photonic-band-gap structures and guide modes in two-dimensional magnetic photonic crystal heterostructures," Eur. Phys. J. B, Vol. 37, 293-299, 2004.
12. Figotin, A., Yu. A. Godin, and I. Vitebsky, "Two-dimensional tunable photonic crystals," Phys. Rev. B, Vol. 57, 2841-2848, 1998.
13. Barybin, A. A. and V. A. Dmitriev, Modern Electrodynamics and Coupled-Mode theory: Application to Guided- Wave Optics, Rinton Press, Princeton, New Jersey, 2002.
14. Kocinski, P., "Application of the irreducible part of the Brillouin zone to band-structure calculations in ferromagnetic crystals," J. Phys.: Condens. Matter, Vol. 5, 4519-4526, 1993.
15. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals, Princeton University Press, Princeton, 1995.
16. Gurevich, A. and G. Melkov, Magnetization Oscillations and Waves, CRC, Boca Raton, FL, 1996.
17. Dimmock, J. O. and R. G. Wheeler, "Symmetry properties of wave functions in magnetic crystals," Phys. Rev., Vol. 127, 391-404, 1962.
18. Dmitriev, V., "Comments on 'Properties of and generalized full-wave transmission line models for hybrid (bi) (an)Isotropic waveguides' by Frank Olyslager," IEEE Trans. Microwave Theory Tech., Vol. MTT-47, 655-657, 1999.
19. Baum, C. E. and N. H. Kritikos (eds.), Electromagnetic Symmetry, Taylor & Francis, Washington, 1995.
20. Figotin, A. and I. Vitebsky, "Electromagnetic unidirectionality in magnetic crystals," Phys. Rev. D, Vol. 67, 1655210, 2003.
21. Nishizawa, H. and T. Nakayama, "Magneto-optic anisotropy effect on photonic band structure," J. Phys. Soc. Jpn., Vol. 66, 613-617, 1997.
22. Belov, P. A., S. A. Tretyakov, and A. J. Viitanen, "Nonreciprocal microwave band-gap structures," Phys. Rev. E, Vol. 66, 016608, 2002.
23. Sakoda, K., Optical Properties of Photonic Crystals, Springer Verlag, Berlin, 2001.
24. Potton, R. J., "Reciprocity in optics," Rep. Prog. Phys., Vol. 67, 717-754, 2004.
25. Jalali, A. A. and A. T. Friberg, "Faraday rotation in two-dimensional magneto-optic photonic crystal," Optics Communications, Vol. 253, 145-150, 2005.
26. Dimmock, J. O. and R. G. Wheeler, "Irreducible representations of magnetic groups," J. Phys. Chem. Solids, Vol. 23, 729-741, 1962.