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The plane wave expansion method is used to calculate the band gap of two-dimensional photonic crystal in the E and H polarization, with Taking into account the effects of filling ratio, lattice structure, and relative dielectric constant ratio on the maximum absolute band gap. The results show that either square or triangular array arrangement, it is easier for the dielectric cylinder type photonic crystal to form TM-polarized mode band gap; while, in the air-hole photonic crystal it is much easier to form TE-polarized-mode band gap. For a given filling ratio, with the increase of relative dielectric constant, the maximum gap width does not always increase, but it is peaked. Similarly, for a given relative dielectric constant, with the increase of filling ratio, it is also peaked for the maximum gap width. Moreover, no matter the erystal is air hole type or dielectric cylinder type in structure, the triangular lattice structure is much easier to form bands gap.
[1] Yablonovitch E 1987 Phys. Rev. Lett. 20 2059
[2] John S 1987 Phys. Rev. Lett. 23 2486
[3] Yablonovitch E, Gmitter TJ 1989 Phys. Rev. Lett. 18 1950
[4] Yamasaki T, Tsutsui T 1998 Applied Physics Letters 16 1957
[5] Furumi, Seiichi Fudouzi, Hiroshi, Sawada, Tsutomu 2010 Laser and Photonics Reviews 4 205
[6] Morrison S K, Kivshar Y S 2009 Applied Physics B: Lasers and Optics 94 149
[7] Römer, Friedhard Witzigmann 2008 Journal of the Optical Society of America B: Optical Physics 25 31
[8] Wu Z,Levy, Miguel Fratello V J, Merzlikin A M 2010 Applied Physics Letters 96 36
[9] Cai X H, Zheng W H, Ma X T, Ren G 2005 Chin. Phys. 14 2507
[10] Liu Z Q, Feng T H, Dai Q F, Wu L J, Lan S 2009 Chin. Phys. B 18 2383
[11] Shang P G, Sacharia Albin 2003 Optics Express 11 167
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[1] Yablonovitch E 1987 Phys. Rev. Lett. 20 2059
[2] John S 1987 Phys. Rev. Lett. 23 2486
[3] Yablonovitch E, Gmitter TJ 1989 Phys. Rev. Lett. 18 1950
[4] Yamasaki T, Tsutsui T 1998 Applied Physics Letters 16 1957
[5] Furumi, Seiichi Fudouzi, Hiroshi, Sawada, Tsutomu 2010 Laser and Photonics Reviews 4 205
[6] Morrison S K, Kivshar Y S 2009 Applied Physics B: Lasers and Optics 94 149
[7] Römer, Friedhard Witzigmann 2008 Journal of the Optical Society of America B: Optical Physics 25 31
[8] Wu Z,Levy, Miguel Fratello V J, Merzlikin A M 2010 Applied Physics Letters 96 36
[9] Cai X H, Zheng W H, Ma X T, Ren G 2005 Chin. Phys. 14 2507
[10] Liu Z Q, Feng T H, Dai Q F, Wu L J, Lan S 2009 Chin. Phys. B 18 2383
[11] Shang P G, Sacharia Albin 2003 Optics Express 11 167
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