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A recursive algorithm for electromagnetic fields propagating in micro-nano optical elements is proposed in this paper.This method is based on Maxwells equations and the continuity of tangential components of the electric and magnetic field vectors,and gives an exact complete solution.Taking the propagation of Gaussian beams in the sub-wavelength rectangle relief grating as an example; we analyze the propagation of beams with non-uniform amplitude in micro-nano optical elements in detail.
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Keywords:
- recursive algorithm for electromagnetic fields /
- non-uniform amplitude beams /
- micro-nano optical elements
[1] ［1］Herzig H P 1997Micro-optics elements,systems and applications UK Taylor & Francis Ltd, Switzerland
[2] ［2］Michael T G 2002 Diffra. Opt. & Micro-Opt. 75 43
[3] ［3］Bengtston J 2004 Appl. Opt. 33 4993
[4] ［4］Romero L A, Dickzig F M 2006 J. Opt. Soc. Am. A 13 751
[5] ［5］Deinega B A, Valuev S I 2009 Opt. Lett. 34 860
[6] ［6］Hyoungsuk Y, Nand G 2008 Opt. Lett. 33 2068
[7] ［7］Vincetti L, Cucinotta A 2000 J. Opt. Soc. Am. A 17 1124
[8] ［8］Xie L, Lei Y Z 2006 Aata. Phys. Sin. 55 4381 (in Chinese) ［谢莉、雷银照 2006 55 4397］
[9] ［9］Shi S Q, Liu J， Gu B Y 2007 J. Opt. Soc. Am. A 24 512
[10] ］Li J L, Lü B D 2008 Aata. Phys. Sin. 57 3481 (in Chinese)［李建龙、吕百达 2008 57 3481］
[11] ］Li J L, Lu B D 2007 Aata. Phys. Sin. 56 5778 (in Chinese)［李建龙、吕百达 2007 56 5778］
[12] ］Li J L, Lü B D 2008 Aata. Phys. Sin. 57 1656 (in Chinese)［李建龙、吕百达 2008 57 1656］
[13] ］Li L F 1996 J. Opt. Soc. Am. A 13 1870
[14] ］Jarem J M, Banerjee P P 1999 J. Opt. Soc. Am. A 16 1097
[15] ］Chuang S L, Kong J A 1982 Rad. Sci. 17 545
[16] ］Loewen E L, Popov E 1997 Diffraction gratings and applications, Marcel Dekker, INC
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[1] ［1］Herzig H P 1997Micro-optics elements,systems and applications UK Taylor & Francis Ltd, Switzerland
[2] ［2］Michael T G 2002 Diffra. Opt. & Micro-Opt. 75 43
[3] ［3］Bengtston J 2004 Appl. Opt. 33 4993
[4] ［4］Romero L A, Dickzig F M 2006 J. Opt. Soc. Am. A 13 751
[5] ［5］Deinega B A, Valuev S I 2009 Opt. Lett. 34 860
[6] ［6］Hyoungsuk Y, Nand G 2008 Opt. Lett. 33 2068
[7] ［7］Vincetti L, Cucinotta A 2000 J. Opt. Soc. Am. A 17 1124
[8] ［8］Xie L, Lei Y Z 2006 Aata. Phys. Sin. 55 4381 (in Chinese) ［谢莉、雷银照 2006 55 4397］
[9] ［9］Shi S Q, Liu J， Gu B Y 2007 J. Opt. Soc. Am. A 24 512
[10] ］Li J L, Lü B D 2008 Aata. Phys. Sin. 57 3481 (in Chinese)［李建龙、吕百达 2008 57 3481］
[11] ］Li J L, Lu B D 2007 Aata. Phys. Sin. 56 5778 (in Chinese)［李建龙、吕百达 2007 56 5778］
[12] ］Li J L, Lü B D 2008 Aata. Phys. Sin. 57 1656 (in Chinese)［李建龙、吕百达 2008 57 1656］
[13] ］Li L F 1996 J. Opt. Soc. Am. A 13 1870
[14] ］Jarem J M, Banerjee P P 1999 J. Opt. Soc. Am. A 16 1097
[15] ］Chuang S L, Kong J A 1982 Rad. Sci. 17 545
[16] ］Loewen E L, Popov E 1997 Diffraction gratings and applications, Marcel Dekker, INC
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