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In contrast to dielectric photonic crystals, the propagation characteristics of metallic photonic crystals are of great importance in millimeter wave and submillimeter wave applications. It is convenient and reliable to get the band diagrams and field distributions of photonic crystals after solutions of the eigenmode equations, which is derived from the Yee-mesh-based finite-difference frequency-domain method. However, this method cannot be used for the analysis of metallic photonic crystals because of the essential distinctions between metal and dielectric. Based on this method, we derive eigenmode equations for two-dimensional metallic photonic crystals by introducing the metal surface boundary conditions. And then, after some numerical calculations, the transverse electric mode and the transverse magnetic mode global band gaps of different lattice structures are obtained, including both square lattice and triangular lattice. Finally, we discuss the advantages of metallic periodic structures in mode selection and device integration by the comparison between metallic photonic band gap and dielectric photonic band gap.
[1] ［1］Yablonoviteh E 1987 Phys.Rev.Lett.58 2059
[2] ［2］John S 1987 Phys.Rev.Lett.58 2486
[3] ［3］Attila M, Chen J C, Kurland I, Fan S H, Villeneuve P R, Joannopoulos J D 1996 Phys.Rev.Lett.77 3787
[4] ［4］Brechet F, Marcou J, Pagnoux D, Roy P 2000 Opt. Fiber Technol. 6 181
[5] ［5］Sigalas M M, Chan C T, Ho K M, Soukoulis C M 1995 Phys. Rev. B 52 11744
[6] ［6］Sievenpiper D F, Sickmiller M E, Yablonovitch E 1996 Phys.Rev.Lett.76 2480
[7] ［7］Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys.Rev.Lett.76 4773
[8] ［8］Shapiro M A, Brown W J, Mastovsky I, Sirigiri J R, Temkin R J 2001 Phys. Rev. Special Topics: Accelerators and Beams 4 042001
[9] ［9］Sirigiri J R, Kreischer K E, Machuzak J, Mastovsky I, Shapiro M A, Temkin R J 2001 Phys. Rev. Lett. 86 5628
[10] ］Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[11] ］Kuzimiak V, Maradudin, Pincemin F 1994 Phys. Rev. B 50 1683
[12] ］Gong Y B, Lu Z G, Wang W X, Wei Y Y 2006 Acta Phys. Sin. 55 3590 (in Chinese) ［宫玉彬、路志刚、王文祥、魏彦玉 2006 55 3590］
[13] ］Qiu M, He S L 2000 J. App. Phys. 87 8268
[14] ］Chen H B, Chen X S, Li H J, Lu W, Wang L L, Wang S W, Xia H, Zeng Y, Zhang J B, Zhou R L 2006 Acta Phys. Sin. 57 3506 (in Chinese) ［陈洪波、陈效双、李宏建、陆卫、王玲玲、王少伟、夏辉、曾勇、张建标、周仁龙 2008 57 3506］
[15] ］Pendry J B, Mackinnon A 1992 Phys. Rev. Lett. 69 2772
[16] ］Sigalas M, Soukoulis C M, Economou E N 1993 Phys. Rev.B 48 14121
[17] ］Hao B L, Liu P K, Tang C J 2006 Acta Phys. Sin. 55 1862 (in Chinese) ［郝保良、刘濮鲲、唐昌建 2006 55 1862］
[18] ］Zhu Z M, Brown T G 2002 Opt. Express 10 853
[19] ］Yu C P, Chang H C 2004 Opt. Express 12 1397
[20] ］Chang H C, Yu C P 2004 Opt. Express 12 6165
[21] ］Ando T, Nakayama H, Numata S, Yamauchi J, Nakano H 2002 J. Lightwave Technol. 20 1627
[22] ］Guo S P, Wu F, Albin S 2004 Opt. Express 12 1741
[23] ］Shen L F, He S L, Wu L 2002 Acta Phys. Sin. 51 1133 (in Chinese) ［沈林放、何赛灵、吴良 2002 51 1133］
[24] ］Guo J Y, Chen H, Li H Q, Zhang Y W 2008 Chin. Phys. 17 2544
[25] ］Berenger J P 1994 J. Comput.Phys. 114 185
[26] ］Smirnova E I, Chen C, Shapiro M A, Sirigiri J R, Temkin R J 2002 J. App. Phys. 91 960
[27] ］Cai X H, Zheng W H, Ma X T, Ren G, Xia J B 2005 Chin. Phys. 14 2507
[28] ］Arriaga J, Ward A J, Pendry J B 1999 Phys. Rev. B 59 1874
[29] ］Xiao S S, Shen L F, He S L 2002 Acta Phys. Sin. 51 2858 (in Chinese) ［肖三水、沈林放、何赛灵 2002 51 2858］
[30] ］Chen X W, Lin X S, Lan S 2005 Chin.Phys. 14 366
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[1] ［1］Yablonoviteh E 1987 Phys.Rev.Lett.58 2059
[2] ［2］John S 1987 Phys.Rev.Lett.58 2486
[3] ［3］Attila M, Chen J C, Kurland I, Fan S H, Villeneuve P R, Joannopoulos J D 1996 Phys.Rev.Lett.77 3787
[4] ［4］Brechet F, Marcou J, Pagnoux D, Roy P 2000 Opt. Fiber Technol. 6 181
[5] ［5］Sigalas M M, Chan C T, Ho K M, Soukoulis C M 1995 Phys. Rev. B 52 11744
[6] ［6］Sievenpiper D F, Sickmiller M E, Yablonovitch E 1996 Phys.Rev.Lett.76 2480
[7] ［7］Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys.Rev.Lett.76 4773
[8] ［8］Shapiro M A, Brown W J, Mastovsky I, Sirigiri J R, Temkin R J 2001 Phys. Rev. Special Topics: Accelerators and Beams 4 042001
[9] ［9］Sirigiri J R, Kreischer K E, Machuzak J, Mastovsky I, Shapiro M A, Temkin R J 2001 Phys. Rev. Lett. 86 5628
[10] ］Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[11] ］Kuzimiak V, Maradudin, Pincemin F 1994 Phys. Rev. B 50 1683
[12] ］Gong Y B, Lu Z G, Wang W X, Wei Y Y 2006 Acta Phys. Sin. 55 3590 (in Chinese) ［宫玉彬、路志刚、王文祥、魏彦玉 2006 55 3590］
[13] ］Qiu M, He S L 2000 J. App. Phys. 87 8268
[14] ］Chen H B, Chen X S, Li H J, Lu W, Wang L L, Wang S W, Xia H, Zeng Y, Zhang J B, Zhou R L 2006 Acta Phys. Sin. 57 3506 (in Chinese) ［陈洪波、陈效双、李宏建、陆卫、王玲玲、王少伟、夏辉、曾勇、张建标、周仁龙 2008 57 3506］
[15] ］Pendry J B, Mackinnon A 1992 Phys. Rev. Lett. 69 2772
[16] ］Sigalas M, Soukoulis C M, Economou E N 1993 Phys. Rev.B 48 14121
[17] ］Hao B L, Liu P K, Tang C J 2006 Acta Phys. Sin. 55 1862 (in Chinese) ［郝保良、刘濮鲲、唐昌建 2006 55 1862］
[18] ］Zhu Z M, Brown T G 2002 Opt. Express 10 853
[19] ］Yu C P, Chang H C 2004 Opt. Express 12 1397
[20] ］Chang H C, Yu C P 2004 Opt. Express 12 6165
[21] ］Ando T, Nakayama H, Numata S, Yamauchi J, Nakano H 2002 J. Lightwave Technol. 20 1627
[22] ］Guo S P, Wu F, Albin S 2004 Opt. Express 12 1741
[23] ］Shen L F, He S L, Wu L 2002 Acta Phys. Sin. 51 1133 (in Chinese) ［沈林放、何赛灵、吴良 2002 51 1133］
[24] ］Guo J Y, Chen H, Li H Q, Zhang Y W 2008 Chin. Phys. 17 2544
[25] ］Berenger J P 1994 J. Comput.Phys. 114 185
[26] ］Smirnova E I, Chen C, Shapiro M A, Sirigiri J R, Temkin R J 2002 J. App. Phys. 91 960
[27] ］Cai X H, Zheng W H, Ma X T, Ren G, Xia J B 2005 Chin. Phys. 14 2507
[28] ］Arriaga J, Ward A J, Pendry J B 1999 Phys. Rev. B 59 1874
[29] ］Xiao S S, Shen L F, He S L 2002 Acta Phys. Sin. 51 2858 (in Chinese) ［肖三水、沈林放、何赛灵 2002 51 2858］
[30] ］Chen X W, Lin X S, Lan S 2005 Chin.Phys. 14 366
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