Analytical investigation of one-dimensional magnetoelectric photonic crystals. The 2×2 matrix approach

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 24, Issue 11, 2007, Pages 3564-3572

  Vytovtov, K A ^a   Tarasenko, Yu S ^a  

^a OLES HONCHAR DNIPRO NATIONAL UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETOELECTRONICS; MATRIX ALGEBRA; NUMERICAL METHODS; ONE DIMENSIONAL; WAVE TRANSMISSION;

ANALYTICAL METHOD; MAGNETOELECTRIC PHTONIC CRYSTALS; ONE-DIMENSIONAL MAGNETOELECTRIC STACK; TRANSLATION MATRIX;

PHOTONIC CRYSTALS;

EID: 37549031702     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.24.003564     Document Type: Article

References (36)

1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
2. D. Felbacq, B. Guizal, and F. Zolla, "Wave propagation in one-dimensional photonic crystals," Opt. Commun. 152, 119-126 (1998).
3. S. Khorasan and K. Mehrany, "Differential transfer-matrix method for solution of one-dimensional linear nonhomogeneous optical structures," J. Opt. Soc. Am. B 20, 91-96 (2003).
4. C. Jamois, R. B. Wehrspohn, L. C. Andreani, C. Hermann, O. Hess, and U. Gosele, "Silicon-based two-dimensional photonic crystal waveguides," Photonics Nanostruct. Fundam. Appl. 1, 1-13 (2003).
5. E. B. McDaniel, J. W. P. Hsu, L. S. Goldner, R. J. Jonucci, E. L. Shirley, and G. W. Bryant, "Local characterization of transmission properties of a two-dimensional crystal," Phys. Rev. B 55, 10878-10882 (1997).
6. A. Chutinan and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev. B 57, R2006-R2008 (1998).
7. S. R. Kennedy, M. J. Brett, H. Miguez, O. Toader, and S. John, "Optical properties of a three-dimensional silicon square spiral photonic crystal," Photonics Nanostruct. Fundam. Appl. 1, 37-42 (2003).
8. L. I. Lyubchanskii, N. N. Dadoenkova, M. I. Lyubchanskii, E. A. Shapovalov, and Th. Rasing, "Magnetic photonic crystals," J. Phys. D 36, 277-287 (2003).
9. A. Figotin and I. Vitebsky, "Nonreciprocal magnetic photonic crystals," Phys. Rev. E 63, 066609-1-066609-17 (2001).
10. Ph. Russell, T. Birks, and F. D. Lloyd-Lucas, Photonic Bloch Waves and Photonic Band Gaps (Plenum, 1995).
11. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).
12. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley-Interscience, 1984).
13. K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).
14. I. H. Zabel and D. Stroud, "Photonic band structures of optically anisotropic periodic arrays," Phys. Rev. B 48, 5004-5021 (1993).
15. P. Yeh, "Extended Jones matrix method," J. Opt. Soc. Am. 72, 507-513 (1982).
16. P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am. 69, 742-756 (1979).
17. D. W. Berreman, "Optics in stratified and anisotropic media: 4×4-matrix formulation," J. Opt. Soc. Am. 62, 502-510 (1972).
18. S. Teitler and B. W. Henvis, "Refraction in stratified, anisotropic media," J. Opt. Soc. Am. 60, 830-834 (1970).
19. D. Ager and H. P. Hughes, "Optical properties of stratified systems including lamellar gratings," Phys. Rev. B 44, 13452-13465 (1991).
20. M. Qiu and S. He, "Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional bandgap," J. Opt. Soc. Am. B 17, 1027-1030 (2000).
21. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic band gaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413-416 (1994).
22. J. K. Hale, Oscillations in Nonlinear Systems (McGraw-Hill, 1963).
23. G. Kauderer, Nichtlineare Mechanik (Springer-Verlag, 1958).
24. R. C. Jones, "New calculus for the treatment of optical system I. Description and discussion of the calculus," J. Opt. Soc. Am. 31, 488-493 (1941).
25. F. Gharadjedaghi and J. Robert, "Comportement electro-optique d'une structure nématique en hélice - application à l'affichage," Rev. Phys. Appl. 11, 467-473 (1976).
26. A. Lien, "The general and simplified Jones matrix representations for the high pretilt twisted nematic cell," J. Appl. Phys. 67, 2853-2856 (1990).
27. H. L. Ong, "Electro-optics of a twisted nematic liquid crystal display by 2×2 propagation matrix at oblique incidence," Jpn. J. Appl. Phys., Part 1 30, L1028-L1031 (1991).
28. M. Mansuripur, "Analysis of multilayered thin-film structures containing magneto-optic and anisotropic media at oblique incidence using 2×2 matrices," J. Appl. Phys. 67, 6466-6475 (1990).
29. M. Mansuripur, The Principles of Magneto-Optical Recording (Cambridge U. Press, 1995).
30. I. Abdulhalim, "Analytic propagation matrix method for anisotropic magnetooptic layered media," J. Opt. A, Pure Appl. Opt. 2, 557-564 (2000).
31. H. Wohler and M. E. Becker, "Numerical modeling of LCD electro-optical performance," Opto-Electron. Rev. 10, 23-33 (2002).
32. B. Lax and K. J. Button, Microwave Ferrite and Ferrimagnetics (McGraw-Hill, 1962).
33. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon, 1984).
34. N. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 5th ed. (Pergamon, 1975), Sec. 11.3.
35. P. Lancaster and M. Tismenetsky, The Theory of Matrices With Applications, 2nd ed. (Academic, 1985).
36. J. A. Kong, Electromagnetic Wave Theory, 2nd ed. (Wiley, 1990).