Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (1): 5-10.

• Comprehensive Studies • Previous Articles     Next Articles

The Transmission Properties of Electromagnetic Wave in Bethe Lattices

  

  1. (Faculty of Physics and Photoelectron Engineering,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2008-01-01 Published:2008-01-01

Abstract: The photonic transmission properties of Bethe lattices network made of one-dimensional waveguides are studied with the generalized eigen-function method.Considering the absence or presence of dissipation and different exit situations,the transmission coefficient is numerically calculated as a function of frequency in the range 0~500 MHz for the first five generations of Bethe lattices.The results are shown by the two-dimensional plots.The evolution of discrete eigen-mode and the corresponding ph...

Key words: elecromagnetic wave; generalized eigen-function method(GEM); Bethe lattices.;

[1] Sheng P.Scattering and Iocalization of Classical Waves inRandom Media. . 1990

[2] Dobrzynski L,Akjouj A,Djiafari-Rouhani B,et al.Vasseur,Giant gaps in photonic band structure. Physical Review B Condensed Matter and Materials Physics . 1998

[3] Pradhan R D,Watson G H.Impurity effects in coaxial-con-nector photonic crystals:Aquasi-one-dimensional periodicsystem. Physical Review B Condensed Matter and Materials Physics . 1999

[4] Domany E,Alexander S,Bendion D,et al.Kadanoff,Solu-tions to the Schrodinger equation on some fractal structure. Physical Review B Condensed Matter and Materials Physics . 1983

[5] Rammal R,Thoulous G.Spectrum of the Schrodinger equa-tion on a self-similar structure. Physical Review Letters . 1982

[6] Alexander S.Superconductivity of networks:A percolationapproach to the effects of disorder. Physical Review B Condensed Matter and Materials Physics . 1983

[7] Lakhtakia A,Messier R,Varadan V K,et al.Varadan,Useof combinatorial algebra for diffusion on fractals. Physical Review A Atomic Molecular and Optical Physics . 1986

[8] Li Mao-hua,Liu You-yan.Photonic band structure of Sier-pinski waveguide networks. Physical Review B Condensed Matter and Materials Physics . 2000

[9] Lin Zhi-ping,Liu You-yan.Electronic transmission proper-ties of Bethe lattices. Physics Letters A . 2003

[10] Lin Zhi-ping,Cao Yong-jun,Liu You-yan.Electronic trans-mission properties of Sierpinski lattices in magnetic field. Physical Review B Condensed Matter and Materials Physics . 2002

[11] Lin Zhi-ping,Hou Zhi-lin,Liu You-yan.Quantum waveguidetheory of a fractal structure. Physics Letters A . 2007

[12] Zhang Z Q,Sheng P.Wave localization in random networks. Physical Review B Condensed Matter and Materials Physics . 1994

[13] John S.Strong localization of photons in certain disorder eddielectric super lattices. Physics Review Letters . 1987

[14] Zhang D Z,Hu W,Zhang Y L,et al.Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum. Physical Review B Condensed Matter and Materials Physics . 1994

[15] Mccall S L,Platzman P M.Microwave Propagation in Two-Dimensional Dielectric Lattices. Physical Review Letters . 1991

[16] Genack A Z,Garcia N.Observation of photon localization in a three-dimensional disordered system. Physical Review Letters . 1991

[17] Wiersma D S,et al.Localization of light in a disordered medium. Nature . 1997

[18] Zhang Z Q,Wong C C,Fung K K,et al.Observation of localized electromagnetic waves, in three-dimensional networks of waveguides. Physical Review Letters . 1998

[19] VASSEUR J O,DJAFARI-ROUHANI B,DOBRZYNSKI L,et al.Defect modes in one-dimensional comblike photonic waveguides. Physical Review B Condensed Matter and Materials Physics . 1999
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