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One short-cut transformation from one-dimensional (1D) to three-dimensional (3D) spatial optical lattices is simulated and studied. By adding mirror-symmetric beams for 3 original beams, the interference patterns from 2D to 3D can be obtained. Furthermore, by selecting appropriate polarization of the interference beams, the 3D structure can become 1D layered structure, and the period of the layers can reach the sub-wavelength. This result offers an alternative method to produce 1D and 3D photonic crystals, especially for the fabrication of optical band gap structures.
[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] Fan S H, Villeneuve P R, Joannopoulos J D, Schubert E F 1997 Phys. Rev. Lett. 78 3294
[3] Joannopoulos J D, Villeneuve P R, Fan S 1997 Nature 386 143
[4] Campbell M, Sharp D N, Harrison M T, Denning R G, Turberfield A J 2000 Nature 404 53
[5] Wang X, Ng C Y, Tam W Y, Chan C T, Sheng P 2003 Adv. Mater. 15 1526
[6] Wang X, Xu J, Lee J C, Pang Y K, Tam W Y, Chan C T, Sheng P 2006 Appl. Phys. Lett. 88 051901
[7] Wang X, Xu J F, Su H M, Zeng Z H, Chen Y L, Wang H Z, Pang Y K, Tam W Y 2003 Appl. Phys. Lett. 82 2212
[8] Pang Y K, Lee J C W, Lee H F, Tam W Y, Chan C T, Sheng P 2005 Opt. Express 13 7615
[9] Wang X, Tam W Y 2006 Acta Phys. Sin. 55 5398 (in Chinese) [王 霞、谭永炎 2006 55 5398]
[10] Zhong Y C, Zhu S A, Wang H Z 2006 Acta Phys. Sin. 55 0688 (in Chinese) [钟永春、朱少安、汪河洲 2006 55 0688]
[11] Su H M, Zheng X G, Wang X, Xu J F, Wang H Z 2002 Acta Phys. Sin. 51 1044 (in Chinese) [苏慧敏、郑锡光、王 霞、许剑锋、汪河洲 2002 51 1044]
[12] Tam W Y 2007 J. Opt. A: Pure Appl. Opt. 9 1076
[13] Sharp D N, Turberfield A J, Denning R G 2003 Phys. Rev. B 68 205102
[14] Cai L Z, Yang X L, Wang Y R 2002 Opt. Lett. 27 900
[15] Feng T H, Dai Q F, Wu L J, Guo Q, Hu W, Lan S 2008 Chin. Phys. B 17 4533
[16] Wang J, Yuan C W, Tang F Q 2005 Chin. Phys. 14 1581
[17] Wang X, Li H B, Wang Z X 2009 Opt. Lett. 5 0434
[18] Komikado T, Yoshida S, Umegaki S 2006 Appl. Phys. Lett. 89 061123
[19] Yang H, Xie P, Chan S K, Lu W, Zhang Z Q, Sou I K, Wong G K L, Wong K S 2006 IEEE J. Quantum Electronics 42 447
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[1] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2] Fan S H, Villeneuve P R, Joannopoulos J D, Schubert E F 1997 Phys. Rev. Lett. 78 3294
[3] Joannopoulos J D, Villeneuve P R, Fan S 1997 Nature 386 143
[4] Campbell M, Sharp D N, Harrison M T, Denning R G, Turberfield A J 2000 Nature 404 53
[5] Wang X, Ng C Y, Tam W Y, Chan C T, Sheng P 2003 Adv. Mater. 15 1526
[6] Wang X, Xu J, Lee J C, Pang Y K, Tam W Y, Chan C T, Sheng P 2006 Appl. Phys. Lett. 88 051901
[7] Wang X, Xu J F, Su H M, Zeng Z H, Chen Y L, Wang H Z, Pang Y K, Tam W Y 2003 Appl. Phys. Lett. 82 2212
[8] Pang Y K, Lee J C W, Lee H F, Tam W Y, Chan C T, Sheng P 2005 Opt. Express 13 7615
[9] Wang X, Tam W Y 2006 Acta Phys. Sin. 55 5398 (in Chinese) [王 霞、谭永炎 2006 55 5398]
[10] Zhong Y C, Zhu S A, Wang H Z 2006 Acta Phys. Sin. 55 0688 (in Chinese) [钟永春、朱少安、汪河洲 2006 55 0688]
[11] Su H M, Zheng X G, Wang X, Xu J F, Wang H Z 2002 Acta Phys. Sin. 51 1044 (in Chinese) [苏慧敏、郑锡光、王 霞、许剑锋、汪河洲 2002 51 1044]
[12] Tam W Y 2007 J. Opt. A: Pure Appl. Opt. 9 1076
[13] Sharp D N, Turberfield A J, Denning R G 2003 Phys. Rev. B 68 205102
[14] Cai L Z, Yang X L, Wang Y R 2002 Opt. Lett. 27 900
[15] Feng T H, Dai Q F, Wu L J, Guo Q, Hu W, Lan S 2008 Chin. Phys. B 17 4533
[16] Wang J, Yuan C W, Tang F Q 2005 Chin. Phys. 14 1581
[17] Wang X, Li H B, Wang Z X 2009 Opt. Lett. 5 0434
[18] Komikado T, Yoshida S, Umegaki S 2006 Appl. Phys. Lett. 89 061123
[19] Yang H, Xie P, Chan S K, Lu W, Zhang Z Q, Sou I K, Wong G K L, Wong K S 2006 IEEE J. Quantum Electronics 42 447
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