The research of band gap of 2-D anisotropic dielectric cylinders

LI Kai-cai; YAN Ke-zhu

doi:10.3969/j.issn.1001-3806.2010.02.027

LASER TECHNOLOGY > 2010 > 34(2): 243-246. > DOI: 10.3969/j.issn.1001-3806.2010.02.027

LI Kai-cai, YAN Ke-zhu. The research of band gap of 2-D anisotropic dielectric cylinders[J]. LASER TECHNOLOGY, 2010, 34(2): 243-246. DOI: 10.3969/j.issn.1001-3806.2010.02.027

Citation:

LI Kai-cai, YAN Ke-zhu. The research of band gap of 2-D anisotropic dielectric cylinders[J]. LASER TECHNOLOGY, 2010, 34(2): 243-246. DOI: 10.3969/j.issn.1001-3806.2010.02.027

Citation:

LI Kai-cai, YAN Ke-zhu. The research of band gap of 2-D anisotropic dielectric cylinders[J]. LASER TECHNOLOGY, 2010, 34(2): 243-246. DOI: 10.3969/j.issn.1001-3806.2010.02.027

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The research of band gap of 2-D anisotropic dielectric cylinders

LI Kai-cai,
YAN Ke-zhu^,

College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

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Received Date: February 22, 2009
Revised Date: August 18, 2009
Published Date: March 24, 2010

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Abstract

Abstract

The square lattice of isotropic dielectric cylinders in air can not bring about the absolute band gap and the triangular lattice of dielectric cylinders can produce small absolute band gap.In order to get the bigger band gap,the anisotropic material is used instead of the isotropic material, for it can bring about big absolute band gap because of the dielectric constants of the anisotropic material are different in some directions. Based on plane wave method, calculation results show that the width of the absolute band gap for the square lattice is 0.03095ωe. For the triangular lattice the width is 0.03831ωe,which is 3.6 times wider than the absolute band gap produced by the isotropic dielectric cylinders.It is very useful for research of the band gap of photonic crystal.
- materials,
- optoelectronics,
- absolute band dap,
- plane wave expansion method,
- anisotropic,
- isotropic

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[1]	PLIHAL M,MARADUDIN A A.Photonic band structure of two-dimensional systems:the triangular lattice[J].Phys Rev,1991,B44(16):8565-8571.
[2]	NETTI M C,HARRIS A,BAUMBERG J J,et al.Optical trirefringence in photonic crystal waveguides[J].Phys Rev Lett,2001,86(8):1526-1529.
[3]	RONG Ch C,YAN K Zh,XIE Y M.The distr ibution of the electric field in two-dimension photonic crystals[J].Laser Technology,2008,32(1):76-79(in Chinese).
[4]	YABLONOVITCH E,GMITTER T J,LEUNG K M.Photonic band structure:the face-centered-cubic case employing nonspherical atoms[J].Phys Rev Lett,1991,67(17):2295-2298.
[5]	LEUNG K M,LIU Y F.Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media[J].Phys Rev Lett,1990,65(21):2646-2649.
[6]	ZHANG Z,SATPATHY S.Electromagnetic wave propagation in periodic structures:bloch wave solution of Maxwell's equations[J].Phys Rev Lett,1990,65(21):2650-2653.
[7]	XIE Sh Y,YANG Y P,LIN Zh X,et al.Spontaneous emission from a driven atom embedded in a photonic crystal[J].Acta Physica Sinica,1999,48(8):1459-1469(in Chinese).
[8]	INOUE K,WADA M,SAKODA K,et al.Near-infrared photonic band gap of two-dimensional triangular air-rod lattices as revealed by transmittance measurement[J].Phys Rev,1996,B53(3):1010-1013.
[9]	HO K M,CHAN C T,SOUKOULIS C M.Existence of a photonic gap in periodic dielectric structures[J].Phys Rev Lett,1990,65(25):3152-3155.
[10]	CHAN C T,YU Q L,HO K M.Order-N spectral method for electromagnetic waves[J].Phys Rev,1995,B51(23):16635-16642.
[11]	WARD A J,PENDRY J B.Calculating photonic Green's functions using a nonorthogonal finite-difference time-domain method[J].Phys Rev,1998,B58(11):7252-7259.
[12]	TANG B Sh,YIN G W,XU J L,et al.Study on the transmission spectra of two-dimension photonic crystals with layered composite medium cylinder[J].Laser Technology,2007,31(2):127-130(in Chinese).
[13]	WANG X D,ZHANG X G,YU Q L,et al.Multiple-scattering theory for electromagnetic waves[J].Phys Rev,1993,B47(8):4161-4167.
[14]	LEUNG K M,QIU Y.Multiple-scattering calculation of the two-dimensional photonic band structure[J].Phys Rev,1993,B48(11):7767-7771.

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