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利用平面波展开法和时域有限差分法, 模拟研究了基于自准直条件下的高斯光束入射光子晶体Kretschmann结构时发生的同时具有正向和负向Goos-Hänchen位移的双束反射现象. 研究表明, 反射光束中具有一束较小的正向位移, 而另一束具有较大的负向位移, 发现当Kretschmann结构支持的泄漏的表面模式被激发时才出现这一特殊现象; 表面模式的场分布说明介质波导中存在着强局域稳态场, 大的位移来自于表面模式与自准直体模式间的强耦合, 同时探讨了表面模式与光子晶体自准直体模式之间发生耦合的条件和影响参数. 本文负向位移最大达到-23.23a(a为晶格常数), 对应入射光波长的4.99倍, 是束腰半径的1.1615倍.
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关键词:
- 光子晶体 /
- 自准直 /
- Kretschmann结构 /
- Goos-Hä /
- nchen位移
We perform the finite-difference time-domain (FDTD) simulations and analyze a dual-beam-reflection phenomenon for a Gaussian beam illuminating a Kretschmann configuration composed of a lossless dielectric waveguide between a photonic-crystal-made prism and air. One reflection beam has a small positive shift and the other has a large negative shift in the dual-beam-reflection phenomenon. The FDTD shows that the specific phenomenon takes place just when the corresponding leaky surface mode supported in the Kretschmann configuration is excited. Field profile of the surface mode demonstrates a strong localized stationary field in the dielectric waveguide. We find that the maximum negative lateral shift is -23.23a, corresponding to 4.99 times of the incident wavelength, which is 1.1615 times of the beam waist.-
Keywords:
- photonic crystal /
- self-collimation /
- Kretschmann configuration /
- Goos-Hä /
- nchen shift
[1] Kosaka H, Kawashima T, Tomita A 1999 Appl. Phys. Lett. 74 1212
[2] Matthews A, Kivshar Y 2008 Phys. Lett. A 372 3098
[3] 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 57 1737]
[4] Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese) [历以宇, 顾培夫, 李明宇, 张锦龙, 刘旭 2006 55 2596]
[5] Goos F, Hänchen H 1947 Ann. Phys. 436 333
[6] Tamir T, Bertoni H L 1971 J. Opt. Soc. Am. 61 1397
[7] Felbacq D, Moreau A, Smaali R 2003 Opt. Lett. 28 1633
[8] Felbacq D, Smaali R 2004 Phys. Rev. Lett. 92 193902
[9] Shadrivov I, Ziolkowski R, Zharov A, Kivshar Y 2005 Opt. Express 13 680
[10] Chen F, Hao J, Li H G, Cao Z Q 2011 Acta Phys. Sin. 60 074223 (in Chinese) [陈凡, 郝军, 李红根, 曹庄琪 2011 60 074233]
[11] Jiang Y Y, Sun Y Q, Shi H Y, Hou C F, Sun X D 2007 Acta Phys. Sin. 56 798 (in Chinese) [姜永远, 孙永强, 时红艳, 侯春风, 孙秀冬 2007 56 798]
[12] Wang J Q, Li H M, Fang L, Li M, Niu X Y, Du J L 2009 Chin. Phys. B 18 4870
[13] Steinbetg A M, Kwiat P G, Chiao R Y 1993 Phys. Rev. Lett. 71 708
[14] Spielmann C, Szipocs R, Stingl A, Krause F 1994 Phys. Rev. Lett. 73 2308
[15] Berman P R 2002 Phys. Rev. E 66 067603
[16] Shadrivov I, Zharov A, Kivshar Y S 2003 Appl. Phys. Lett. 83 2713
[17] Wang C, Wang Z P, Zhang Z H 2008 Acta Photon. Sin. 37 2321 (in Chinese) [王成, 王政平, 张振辉 2008 光子学报 37 2321]
[18] Ge G K, Li C F, Duan T, Zhang J Y 2008 Acta Photon. Sin. 37 768 (in Chinese) [葛国库, 李春芳, 段弢, 张纪岳 2008光子学报 28 768]
[19] Wang L G, Zhu S Y 2005 Appl. Phys. Lett. 87 221102
[20] Moreau A, Felbacq D 2007 Appl. Phys. Lett. 90 066102
[21] He J L, Yi J, He S L 2006 Opt. Express 14 3024
[22] Notomi M 2000 Phys. Rev. B 62 10696
[23] Xiao S S, Qiu M, Ruan Z C, He C L 2004 Appl. Phys. Lett. 85 4269
[24] Mekis A, Fan S H, Joannopoulos J D 1998 Phys. Rev. B 58 4809
[25] Taflove A, Hagness S 2005 Computational Electrodynamics (Boston: Artech House) p120
[26] Zhou F, Han K, Ge Y, Ju F L, Shen Y F, Tang G 2012 Opt. Commun. 12 2780
-
[1] Kosaka H, Kawashima T, Tomita A 1999 Appl. Phys. Lett. 74 1212
[2] Matthews A, Kivshar Y 2008 Phys. Lett. A 372 3098
[3] 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 57 1737]
[4] Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese) [历以宇, 顾培夫, 李明宇, 张锦龙, 刘旭 2006 55 2596]
[5] Goos F, Hänchen H 1947 Ann. Phys. 436 333
[6] Tamir T, Bertoni H L 1971 J. Opt. Soc. Am. 61 1397
[7] Felbacq D, Moreau A, Smaali R 2003 Opt. Lett. 28 1633
[8] Felbacq D, Smaali R 2004 Phys. Rev. Lett. 92 193902
[9] Shadrivov I, Ziolkowski R, Zharov A, Kivshar Y 2005 Opt. Express 13 680
[10] Chen F, Hao J, Li H G, Cao Z Q 2011 Acta Phys. Sin. 60 074223 (in Chinese) [陈凡, 郝军, 李红根, 曹庄琪 2011 60 074233]
[11] Jiang Y Y, Sun Y Q, Shi H Y, Hou C F, Sun X D 2007 Acta Phys. Sin. 56 798 (in Chinese) [姜永远, 孙永强, 时红艳, 侯春风, 孙秀冬 2007 56 798]
[12] Wang J Q, Li H M, Fang L, Li M, Niu X Y, Du J L 2009 Chin. Phys. B 18 4870
[13] Steinbetg A M, Kwiat P G, Chiao R Y 1993 Phys. Rev. Lett. 71 708
[14] Spielmann C, Szipocs R, Stingl A, Krause F 1994 Phys. Rev. Lett. 73 2308
[15] Berman P R 2002 Phys. Rev. E 66 067603
[16] Shadrivov I, Zharov A, Kivshar Y S 2003 Appl. Phys. Lett. 83 2713
[17] Wang C, Wang Z P, Zhang Z H 2008 Acta Photon. Sin. 37 2321 (in Chinese) [王成, 王政平, 张振辉 2008 光子学报 37 2321]
[18] Ge G K, Li C F, Duan T, Zhang J Y 2008 Acta Photon. Sin. 37 768 (in Chinese) [葛国库, 李春芳, 段弢, 张纪岳 2008光子学报 28 768]
[19] Wang L G, Zhu S Y 2005 Appl. Phys. Lett. 87 221102
[20] Moreau A, Felbacq D 2007 Appl. Phys. Lett. 90 066102
[21] He J L, Yi J, He S L 2006 Opt. Express 14 3024
[22] Notomi M 2000 Phys. Rev. B 62 10696
[23] Xiao S S, Qiu M, Ruan Z C, He C L 2004 Appl. Phys. Lett. 85 4269
[24] Mekis A, Fan S H, Joannopoulos J D 1998 Phys. Rev. B 58 4809
[25] Taflove A, Hagness S 2005 Computational Electrodynamics (Boston: Artech House) p120
[26] Zhou F, Han K, Ge Y, Ju F L, Shen Y F, Tang G 2012 Opt. Commun. 12 2780
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