Study on bandwidth of 2-D dielectric PBG material

Progress in Electromagnetics Research

Volumn 41, Issue , 2003, Pages 83-106

  Zheng, L G ^a   Zhang, W X ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC RODS; EIGENVALUE EQUATIONS; EMPIRICAL EXPRESSION; FILLING FRACTIONS; NUMERICAL RESULTS; RELATIVE BANDWIDTH; SQUARE CROSS-SECTION; SQUARE LATTICES;

EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY BANDS;

BANDWIDTH;

EID: 34250624718     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER02010804     Document Type: Article

References (31)

1. Yablonovitch, E., "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., Vol. 58, No. 2, 2059-2062, 1987.
2. John, S., "Strong localization of photons in certain disordered dielectric superlattice," Phys. Rev. Lett., Vol. 58, 2486, 1987.
3. Yablonovitch, E. and T. J. Gmitter, "Photonic band structure: The face-centered-cubic case," Phys. Rev. Lett., Vol. 63, 1950, 1989.
4. Leung, K. M. and Y. F. Liu, "Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media," Phys. Rev. Lett., Vol. 65, No. 21, 2646-2649, 1990.
5. Satpathy, S. and Z. Zhang, "Theory of photon bands in threedimensional periodic dielectric structures," Phys. Rev. Lett., Vol. 64, No. 11, 1239-1242, 1990.
6. Zhang, Z. and S. Satpathy, "Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations," Phys. Rev. Lett., Vol. 65, No. 21, 2650-2653, 1990.
7. Ho, K. M., C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett., Vol. 65, No. 25, 3152-3155, 1990.
8. Sözüer, H. S. and J. W. Haus, "Photonic bands: Convergence problems with the plane-wave method," Phys. Rev. B, Vol. 45, No. 24, 13962-13972, June 15, 1992.
9. Kweon, G.-I. and N. M. Lawandy, "Quantum electrodynamics in photonic crystals," Optics Communications, Vol. 118, 388-411, 1995.
10. Plihal, M., A. Shambrook, A. A. Maradudin, and P. Sheng, "Twodimensional photonic band structures," Opt. Commun., Vol. 80, No. 3, 4, 199-204, 1991.
11. Plihal, M. and A. A. Maradudin, "Photonic band structure of two-dimensional systems: The triangular lattice," Phys. Rev. B, Vol. 44, No. 16, 8565-8571, 1991.
12. McCall, S. L., P. M. Platzman, R. Dalichaouch, D. Smith, and S. Schultz, "Microwave propagation in two-dimensional dielectric lattices," Phys. Rev. Lett., Vol. 67, No. 15, 2017-2020, 1991.
13. Villeneuve, P. R. and M. Piché, "Photonic band gaps in twodimensional square and hexagonal lattices," Phys. Rev. B, Condens. Matter, Vol. 46, No. 8, 4969-4972, Aug. 1992.
14. Villeneuve, P. R. and M. Piché, "Photonic band gaps in twodimensional square lattices: Square and circular rods," Phys. Rev. B, Condens. Matter, Vol. 46, No. 8, 4973-4975, Aug. 1992.
15. Padjen, R., J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," Journal of Modern Optics, Vol. 41, No. 2, 295-310, 1994.
16. Maradudin, A. A. and A. R. McGurn, "Out of plane propagation of electromagnetic waves in a two-dimensional periodic dielectric medium," Journal of Modern Optics, Vol. 41, No. 2, 275-284, 1994.
17. Villeneuve, P. R. and M. Piché, "Photonic band gaps of transverse-electric modes in two-dimensionally periodic media," J. Opt. Soc. Am. A, Vol. 8, No. 8, 1296-1305, 1991.
18. Anderson, C. M. and K. P. Giapis, "Larger two-dimensional photonic band gaps," Phys. Rev. Lett., Vol. 77, No. 14, 2949-2952, 1996.
19. Qiu, M. and S. He, "Large complete band gap in two-dimensional photonic crystals with elliptic air holes," Phys. Rev. B, Vol. 60, No. 15, 10610-10612, 1999.
20. Li, Z.-Y., B.-Y. Gu, and G.-Z. Yang, "Large absolute band gap in 2D anisotropic photonic crystals," Phys. Rev. Lett., Vol. 81, No. 12, 2574-2577, 1998.
21. Yang, H.-Y. D., "Surface-wave elimination in integrated circuit structures with artificial periodic materials," Electromagnetics, Vol. 20, 125-130, 2000.
22. Gonzalo, R., P. de Maagt, and M. Sorolla, "Enhanced patchantenna performance by suppressing surface waves using photonicbandgap substrates," IEEE Trans. on MTT, Vol. 47, No. 11, 2131-2138, Nov. 1999.
23. Shumpert, J. D., W. J. Chappell, and L. P. B. Katehi, "Parallelplate mode reduction in conductor-backed slots using electromagnetic bandgap substrates," IEEE Trans. on MTT, Vol. 47, No. 11, 2099-2104, Nov. 1999.
24. Fan, S., P. R. Villeneuve, and J. D. Joannopoulos, "Large omnidirectional band gaps in metallodielectric photonic crystals," Phys. Rev. B, Condens. Matter, Vol. 54, No. 16, 11245-11251, Oct. 1996.
25. Felbacq, D., G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A, Vol. 11, No. 9, 2526-2538, Sept. 1994.
26. Bell, P. M., J. B. Pendry, L. M. Moreno, and A. J. Ward, "A program for calculating photonic band structures and transmission coefficients of complex structures," Comput. Phys. Comm., Vol. 85, 306-322, 1995.
27. Meade, R. D., A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B, Vol. 48, 8434-8437, 1993. Erratum: S. G. Johnson, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B, Vol. 55, 15942, 1997.
28. Johnson, S. G. and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Optics Express, Vol. 8, No. 3, 173-190, 2001.
29. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton, 1995.
30. Johnson, S. G. and J. D. Joannopoulos, The MIT Photonic-Bands Package, http: //ab-initio. mit. edu/mpb/.
31. Ashcroft, N. W. and N. D. Mermin, Solid State Physics, Chapter 8, Holt-saunders International Editions, 1976.