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By using equi-frequency contour analysis and finite-difference time-domain simulation, self-collimation for TE- and TM-polarizations are achieved at the same frequency in two dimensional 32,4,3,4 Archimedean photonic crystals. The bends and beam splitters are realized by truncating an air block in the photonic crystals. It is observed that the line defect can produce a tunable one-to-two beam splitter by controlling the width of the air block. A bend and a 1 ∶1 beam splitter for the TE- and TM- polarization are designed respectively, both have high efficiency. This study proposes a new design method for optical devices based on photonic crystals.
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Keywords:
- photonic crystals /
- Archimedean lattices /
- self-collimation
[1] Kasaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1998 Phys. Rev. B 58 R10096
[2] Kasaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1212
[3] Rakich P T, Dahlem M S, Tandon S, Ibanescu M, Solja Acˇ i Dc' M, Petrich G S, Joannopoulos J D, Kolodziejski L A, Ippen E P 2006 Nat. Mater. 5 93
[4] Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese)[厉以宇、顾培夫、李明宇、张锦龙、刘 旭 2006 物理学报 55 2596]
[5] Yu X F, Fan S H 2003 Appl. Phys. Lett. 83 3251
[6] Shen X P, Han K, Shen Y F, Li H P, Xiao Z W, Zhen J 2006 Acta Phys. Sin. 55 2760 (in Chinese)[沈晓鹏、韩 奎、沈义峰、李海鹏、肖正伟、郑 健 2006 物理学报 55 2760]
[7] Shen X P, Han K, Li H P, Shen Y F, Wang Z Y 2008 Acta Phys.Sin. 57 1737 (in Chinese)[沈晓鹏、韩 奎、李海鹏、沈义峰、王子煜 2008 物理学报 57 1737]
[8] Zhang B, Wang Z 2007 Acta Phys. Sin. 56 1404(in Chinese)[张 波、王 智 2007 物理学报 56 1404]
[9] Li Y Y, Gu P F, Zhang J L, Li M Y, Liu X 2006 Acta Phys. Sin. 55 4918(in Chinese)[厉以宇、顾培夫、张锦龙、李明宇、刘 旭 2006 物理学报 55 4918]
[10] Li G J, Kang X L, Li Y P 2007 Acta Phys. Sin. 56 6403 (in Chinese)[李国俊、康学亮、李永平 2007 物理学报 56 6403]
[11] Chen Y Y, Huang Z H, Shi J L, Li C H, Wang Q 2007 Chin. Phys. 16 173
[12] Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[13] Iiew R, Etrich C, Peschel U, Lederer F, Augustin M, Fuchs H J, Schelle D, Kley E B, Nolte S, Tünnermann A 2004 Appl. Phys. Lett. 85 5854
[14] Li Z, Chen H, Song Z, Yang F, Feng S 2004 Appl. Phys. Lett. 85 4834
[15] Li Y Y, Gu P F, Zhang J L, Li M Y, Liu X 2006 Appl. Phys. Lett. 88 151911
[16] Ni B, Li H, Qiu Y S, Jiang J Z, Wang Y F, Lin G M, Bai J B, Hong H L, Chen X Y 2008 Proc. SPIE 7135 71353
[17] Wang Y F, Qiu Y S, Chen X Y, Lin G M, Hong H L, Ni B 2007 Proc. SPIE 6838 683804
[18] Grünbaum B, Shephar G 1987 Tilings and Patterns (New York: Freeman)
[19] Gaji Dc' R, Meisels R, Kuchar F, Jovanovi Dc' D J, Hingerl K 2007 Mater. Sci. Forum 555 83
[20] Gaji Dc' R, Jovanovi Dc' D, Hingerl K, Meisels R, Kuchar F 2008 Opt. Mater. 30 1065
[21] David S, Chelnokov A, Lourtioz J M 2000 Opt.Lett. 25 1001
[22] David A, Fujii T, Matioli E, Sharma R, Nakamura S, Benisty H 2006 Appl. Phys. Lett. 88 073510
[23] Ueda K, Dotera T, Gemma T 2007 Phy. Rev. B 75 195122
[24] Shen X P, Han K, Yang X Q, Shen Y F, Li H P, Tang G, Guo Z T 2007 Chin. Opt. Lett. 5 11
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[1] Kasaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1998 Phys. Rev. B 58 R10096
[2] Kasaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1212
[3] Rakich P T, Dahlem M S, Tandon S, Ibanescu M, Solja Acˇ i Dc' M, Petrich G S, Joannopoulos J D, Kolodziejski L A, Ippen E P 2006 Nat. Mater. 5 93
[4] Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese)[厉以宇、顾培夫、李明宇、张锦龙、刘 旭 2006 物理学报 55 2596]
[5] Yu X F, Fan S H 2003 Appl. Phys. Lett. 83 3251
[6] Shen X P, Han K, Shen Y F, Li H P, Xiao Z W, Zhen J 2006 Acta Phys. Sin. 55 2760 (in Chinese)[沈晓鹏、韩 奎、沈义峰、李海鹏、肖正伟、郑 健 2006 物理学报 55 2760]
[7] Shen X P, Han K, Li H P, Shen Y F, Wang Z Y 2008 Acta Phys.Sin. 57 1737 (in Chinese)[沈晓鹏、韩 奎、李海鹏、沈义峰、王子煜 2008 物理学报 57 1737]
[8] Zhang B, Wang Z 2007 Acta Phys. Sin. 56 1404(in Chinese)[张 波、王 智 2007 物理学报 56 1404]
[9] Li Y Y, Gu P F, Zhang J L, Li M Y, Liu X 2006 Acta Phys. Sin. 55 4918(in Chinese)[厉以宇、顾培夫、张锦龙、李明宇、刘 旭 2006 物理学报 55 4918]
[10] Li G J, Kang X L, Li Y P 2007 Acta Phys. Sin. 56 6403 (in Chinese)[李国俊、康学亮、李永平 2007 物理学报 56 6403]
[11] Chen Y Y, Huang Z H, Shi J L, Li C H, Wang Q 2007 Chin. Phys. 16 173
[12] Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[13] Iiew R, Etrich C, Peschel U, Lederer F, Augustin M, Fuchs H J, Schelle D, Kley E B, Nolte S, Tünnermann A 2004 Appl. Phys. Lett. 85 5854
[14] Li Z, Chen H, Song Z, Yang F, Feng S 2004 Appl. Phys. Lett. 85 4834
[15] Li Y Y, Gu P F, Zhang J L, Li M Y, Liu X 2006 Appl. Phys. Lett. 88 151911
[16] Ni B, Li H, Qiu Y S, Jiang J Z, Wang Y F, Lin G M, Bai J B, Hong H L, Chen X Y 2008 Proc. SPIE 7135 71353
[17] Wang Y F, Qiu Y S, Chen X Y, Lin G M, Hong H L, Ni B 2007 Proc. SPIE 6838 683804
[18] Grünbaum B, Shephar G 1987 Tilings and Patterns (New York: Freeman)
[19] Gaji Dc' R, Meisels R, Kuchar F, Jovanovi Dc' D J, Hingerl K 2007 Mater. Sci. Forum 555 83
[20] Gaji Dc' R, Jovanovi Dc' D, Hingerl K, Meisels R, Kuchar F 2008 Opt. Mater. 30 1065
[21] David S, Chelnokov A, Lourtioz J M 2000 Opt.Lett. 25 1001
[22] David A, Fujii T, Matioli E, Sharma R, Nakamura S, Benisty H 2006 Appl. Phys. Lett. 88 073510
[23] Ueda K, Dotera T, Gemma T 2007 Phy. Rev. B 75 195122
[24] Shen X P, Han K, Yang X Q, Shen Y F, Li H P, Tang G, Guo Z T 2007 Chin. Opt. Lett. 5 11
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