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In this paper the effective index perturbation technique in combination with two-dimensional (2D)/three-dimensional (3D) plane wave expansion methods is used to predict resonant mode frequencies of donor-like and acceptor-like H1 photonic crystal slab cavity, and their results are very close to the ones obtained by three-dimensional finite difference time domain method. For donor-like H1 photonic cavity, when the perturbed effective index by matching dielectric band edge is used, there is a relatively small frequency difference; however, for acceptor-like H1 photonic cavity, the matching criterion should be set at middle band position. The effective index perturbation method can not only save computation time and computer memory with reducing dimensionality (from 3D to 2D), but also ensure the accuracy of the simulation results, which is substantially important for the extensive application of photonic crystal slab cavity.
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Keywords:
- photonic crystal slab /
- H1 cavity /
- effective index /
- resonant mode frequencies
[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] John S 1987 Phys. Rev. Lett. 58 2486
[3] Ogawa S, Imada M, Yoshimoto S, Okano M, Noda S 2004 Science305 227
[4] Lodahl P, Floris van Driel A, SNikolaev I, Irman A, Overgaag KL, Vos W, Vanmaekelbergh D 2004 Nature 430 654
[5] Tian J, Han S Z, Cheng B Y, Li Z Y, Feng S, Zhang D Z, Jin A Z2005 Acta Phys. Sin. 54 1218 (in Chinese) [田洁,韩守振, 程丙英, 李志远, 冯帅, 张道中, 金爱子 2005 54 1218]
[6] Peng Y S, Ye X L, Xu B, Niu J B, Jia R,Wang Z G, Liang S, YangX H 2010 Acta Phys. Sin. 59 7073 (in Chinese) [彭银生,叶小玲, 徐波, 牛洁斌, 贾锐, 王占国, 梁松, 杨晓红 2010 59 7073]
[7] Shen H J, Tian H P, Ji Y F 2010 Acta Phys. Sin. 59 2820 (inChinese) [沈宏君, 田慧平, 纪越峰 2010 59 2820]
[8] Shirane M, Kono S, Ushida J, Ohkouchi S, Ikeda N, Sugimoto Y,Tomita A 2007 J. Appl. Phys. 101 073107
[9] Srinivasan K, Painter O 2003 Opt. Express 11 579
[10] Kwon S H, Kim S H, Kim S K, Lee Y H 2004 Opt. Express 125356
[11] Ryu H Y, Notomi M 2004 Opt. Express 12 1709
[12] Nomura M, Iwamoto S, Nakaoka T, Ishida S, Arakawa Y 2006Jpn. J. Appl. Phys. 45 6091
[13] No Y S, Ee H S, Kwon S H, Kim S K, Seo M K, Kang J H, Lee YH, Park H G 2009 Opt. Express 17 1679
[14] Tawara T, Kamada H, Zhang Y H, Tanabe T, Cade N I, Ding D,Johnson S R, Gotoh H, Kuramochi E, Notomi M, Sogawa T 2008Opt. Express 16 5199
[15] Larqu?e M, Karle T, Robert-Philip I, Beveratos A 2009 New J.Phys. 11 033022
[16] Römer F, Witzigmann B 2008 J. Opt. Soc. Am. B 25 31
[17] Lie M L, Zhao Q Z 1998 Phys. Rev. B 58 9587
[18] Andreani L C, Gerace D 2006 Phys. Rev. B 73 235114
[19] Shi S Y, Chen C H, Prather D W 2004 J. Opt. Soc. Am. A 211769
[20] Lavrinenko A, Borel P, Frandsen L 2004 Opt. Express 12 234
[21] Qiu M 2003 Appl. Phys. Lett. 81 1163
[22] Witzens J, Loncar M, Scherer A 2002 IEEE J. Quantum. Electron8 1246
[23] Dems M, Nakwaski W 2006 Opt. Appl. 36 51
[24] Zhou W D, Qiang Z X Chen L 2007 J. Phys. D: Appl. Phys. 402615
[25] Chen C, Shi S, Murakowski J, PratherWD 2004 Proc. SPIE 5360390
[26] Yang L, Motohisa J, Fukui T 2005 Opt. Eng. 44 078002
[27] Joannopoulos J D, Johnson S G,Winn J N, Meade R D 2008 PhotonicCrystals: Molding the Flow of Light (New Jersy: PrincetonUniversity Press) p18
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[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] John S 1987 Phys. Rev. Lett. 58 2486
[3] Ogawa S, Imada M, Yoshimoto S, Okano M, Noda S 2004 Science305 227
[4] Lodahl P, Floris van Driel A, SNikolaev I, Irman A, Overgaag KL, Vos W, Vanmaekelbergh D 2004 Nature 430 654
[5] Tian J, Han S Z, Cheng B Y, Li Z Y, Feng S, Zhang D Z, Jin A Z2005 Acta Phys. Sin. 54 1218 (in Chinese) [田洁,韩守振, 程丙英, 李志远, 冯帅, 张道中, 金爱子 2005 54 1218]
[6] Peng Y S, Ye X L, Xu B, Niu J B, Jia R,Wang Z G, Liang S, YangX H 2010 Acta Phys. Sin. 59 7073 (in Chinese) [彭银生,叶小玲, 徐波, 牛洁斌, 贾锐, 王占国, 梁松, 杨晓红 2010 59 7073]
[7] Shen H J, Tian H P, Ji Y F 2010 Acta Phys. Sin. 59 2820 (inChinese) [沈宏君, 田慧平, 纪越峰 2010 59 2820]
[8] Shirane M, Kono S, Ushida J, Ohkouchi S, Ikeda N, Sugimoto Y,Tomita A 2007 J. Appl. Phys. 101 073107
[9] Srinivasan K, Painter O 2003 Opt. Express 11 579
[10] Kwon S H, Kim S H, Kim S K, Lee Y H 2004 Opt. Express 125356
[11] Ryu H Y, Notomi M 2004 Opt. Express 12 1709
[12] Nomura M, Iwamoto S, Nakaoka T, Ishida S, Arakawa Y 2006Jpn. J. Appl. Phys. 45 6091
[13] No Y S, Ee H S, Kwon S H, Kim S K, Seo M K, Kang J H, Lee YH, Park H G 2009 Opt. Express 17 1679
[14] Tawara T, Kamada H, Zhang Y H, Tanabe T, Cade N I, Ding D,Johnson S R, Gotoh H, Kuramochi E, Notomi M, Sogawa T 2008Opt. Express 16 5199
[15] Larqu?e M, Karle T, Robert-Philip I, Beveratos A 2009 New J.Phys. 11 033022
[16] Römer F, Witzigmann B 2008 J. Opt. Soc. Am. B 25 31
[17] Lie M L, Zhao Q Z 1998 Phys. Rev. B 58 9587
[18] Andreani L C, Gerace D 2006 Phys. Rev. B 73 235114
[19] Shi S Y, Chen C H, Prather D W 2004 J. Opt. Soc. Am. A 211769
[20] Lavrinenko A, Borel P, Frandsen L 2004 Opt. Express 12 234
[21] Qiu M 2003 Appl. Phys. Lett. 81 1163
[22] Witzens J, Loncar M, Scherer A 2002 IEEE J. Quantum. Electron8 1246
[23] Dems M, Nakwaski W 2006 Opt. Appl. 36 51
[24] Zhou W D, Qiang Z X Chen L 2007 J. Phys. D: Appl. Phys. 402615
[25] Chen C, Shi S, Murakowski J, PratherWD 2004 Proc. SPIE 5360390
[26] Yang L, Motohisa J, Fukui T 2005 Opt. Eng. 44 078002
[27] Joannopoulos J D, Johnson S G,Winn J N, Meade R D 2008 PhotonicCrystals: Molding the Flow of Light (New Jersy: PrincetonUniversity Press) p18
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