Analysis of two-dimensional electromagnetic crystals consisting of multilayered periodic arrays of circular cylinders

Electronics and Communications in Japan, Part II: Electronics (English translation of Denshi Tsushin Gakkai Ronbunshi)

Volumn 88, Issue 9, 2005, Pages 19-28

  Yasumoto, Kiyotoshi ^a   Jia, Hongting ^a   Toyama, Hiroshi ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Lattice Sum; Scattering and guided wave; T matrix; Two dimensional electromagnetic crystal

Indexed keywords

ALGORITHMS; ARRAYS; BESSEL FUNCTIONS; CRYSTAL LATTICES; ELECTROMAGNETIC WAVE SCATTERING; MATRIX ALGEBRA; VECTORS;

LATTICE SUM; MULTILAYERED PERIODIC ARRAYS; T-MATRIX; TWO DIMENSIONAL ELECTROMAGNETIC CRYSTAL;

CRYSTAL STRUCTURE;

EID: 24944542468     PISSN: 8756663X     EISSN: None     Source Type: Journal    
DOI: 10.1002/ecjb.20182     Document Type: Article

References (24)

1. Twersky V. On scattering of waves by the infinite grating of circular cylinders. IRE Trans Antennas Propag 1962;10:737-765.
2. Petit R (editor). Electromagnetic theory of gratings. Springer-Verlag; 1980.
3. Scherer TD, Yablonovitch E, Everitt HO, Higgins JA (editors). Mini-special issue on electromagnetic crystal structures, design, synthesis, and applications. IEEE Trans Microwave Theory Tech 1999;47:2057-2150.
4. Tayeb G, Maystre D. Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities. J Opt Soc Am A 1997;14:3323-3332.
5. Ohtaka K, Ueta T, Amemiya K. Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods. Phys Rev B 1998;57:2550-2568.
6. McPhedran RC, Botten LC, Asatryan AA, Nicorovici NA, Martijn de Sterke C, Robinson PA. Ordered and disordered photonic band gap materials. Aust J Phys 1999;52:791-809.
7. Benisty H. Modal analysis of optical guides with two-dimensional photonic band-gap boundaries. J Appl Phys 1996;79:7483-7492.
8. Sakoda K, Ueta T, Ohtaka K. Numerical analysis of eigenmodes localized at line defects in photonic lattices. Phys Rev B 1997;56:14905-14908.
9. Pelosi G, Cocchi A, Monorchio A. A hybrid FEM-based procedure for the scattering from photonic crystals illuminated by a Gaussian beam. IEEE Trans Antennas Propag 2000;48:973-980.
10. Popov E, Bozhkov B. Differential method applied for photonic crystals. Appl Opt 2000;39:4926-4932.
11. Naka Y, Ikuno H. Analysis of transmission characteristics of two-dimensional photonic crystal L-shaped optical bend waveguides. Proc. 2000 Int Symp on Antennas and Propagation, Vol. 2, p 787-790.
12. Koshiba M, Tsuji Y, Hikari M. Time-domain beam propagation method and its application to photonic crystal circuits. J Lightwave Technol 2000;18:102-110.
13. Nicorovici NA, McPhedran RC. Lattice sums for off-axis electromagnetic scattering by grating. Phys Rev E 1994;50:3143-3160.
14. Yasumoto K, Ueno T. Rigorous analysis of scattering by a periodic array of cylindrical objects using lattice sums. Proc 1998 China-Japan Joint Meeting on Microwaves, p 247-250.
15. Yasumoto K, Yoshitomi K. Efficient calculation of lattice sums for free-space periodic Green's function. IEEE Trans Antennas Propag 1999;47:1050-1055.
16. Chew WC. Waves and fields in inhomogeneous media. Van Nostrand Reinhold; 1990.
17. Kushta T, Yasumoto K. Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell. Prog Electromagn Res 2000;29:69-85.
18. Yasumoto K, Toyama H, Kushta T. Accurate analysis of two-dimensional electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique. IEEE Trans Antennas Propag 2004;52:2603-2611.
19. Toyama H, Iwasaki T, Yasumoto K. Electromagnetic scattering from a dielectric cylinder with multiple eccentric cylindrical inclusions. Prog Electromagn Res 2003;40:113-129.
20. Jia H, Yasumoto K. A new analysis of electromagnetic scattering from two-dimensional electromagnetic band-gap structures. Proc 2004 Int Conf on Computational Electromagnetics and Its Applications, p PS21-PS24.
21. Jia H, Yasumoto K, Toyama H. Reflection and transmission properties of layered periodic arrays of circular cylinders embedded in magnetized ferrite slab. To be published in IEEE Trans Antennas Propag 2005;53.
22. Yasumoto K, Kushta T, Yoshitomi K. Electromagnetic scattering by a periodic array of cylindrical objects embedded in a dielectric slab. Proc 2000 Int Symp on Antennas and Propagation, p 1371-1374.
23. Yasumoto K, Jia H. Modal analysis of two-dimensional photonic crystal waveguides using lattice sums technique. Proc 2002 Int Conf on Microwave and Millimeter Wave Technology, p 1063-1066.
24. Yasumoto K, Jia H. Analysis of electromagnetic scattering from layered crossed-gratings of circular cylinders using lattice sums technique. In Jin YQ (editor). Wave propagation, scattering and emission in complex media. Science Press and World Scientific; 2004. p 225-239.