Chin. Phys. Lett.  2011, Vol. 28 Issue (7): 074101    DOI: 10.1088/0256-307X/28/7/074101
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
An Approximate Analytical Propagation Formula for Gaussian Beams through a Cat-Eye Optical Lens under Large Incidence Angle Condition
ZHAO Yan-Zhong**, SUN Hua-Yan, ZHENG Yong-Hui
Academy of Equipment Command and Technology, Beijing 101416
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ZHAO Yan-Zhong, SUN Hua-Yan, ZHENG Yong-Hui 2011 Chin. Phys. Lett. 28 074101
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Abstract Based on the generalized diffraction integral formula and the idea that the angle misalignment of the cat-eye optical lens can be transformed into the displacement misalignment, an approximate analytical propagation formula for Gaussian beams through a cat-eye optical lens under large incidence angle condition is derived. Numerical results show that the diffraction effect of the apertures of the cat-eye optical lens becomes stronger along with the increase in incidence angle. The results are also compared with those from using an angular spectrum diffraction integral and experiment to illustrate the applicability and validity of our theoretical formula. It is shown that the approximate extent is good enough for the application of a cat-eye optical lens with a radius of 20 mm and a propagation distance of 100 m, and the approximate extent becomes better along with the increase in the radius of the cat-eye optical lens and the propagation distance.
Keywords: 41.85.Ja      42.60.Jf      42.25.Fx      42.79.Ci     
Received: 21 November 2010      Published: 29 June 2011
PACS:  41.85.Ja (Particle beam transport)  
  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
  42.25.Fx (Diffraction and scattering)  
  42.79.Ci (Filters, zone plates, and polarizers)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/7/074101       OR      https://cpl.iphy.ac.cn/Y2011/V28/I7/074101
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ZHAO Yan-Zhong
SUN Hua-Yan
ZHENG Yong-Hui
[1] Lecocq C, Deshors G, Lado-Bordowsky O and Meyzonnette J L 2003 Proc. SPIE 5086 280
[2] Mieremet A L, Schleijpen R M A, Putten F J M and Veerman H 2010 Opt. Eng. 49 043202
[3] Zhao Y Z, Sun H Y, Song F H, Tang L M, Wu W W, Zhang X and Guo H C 2008 Acta Phys. Sin. 57 2284 (in Chinese)
[4] Zhao Y Z, Sun H Y, Yu X Q and Fan M S 2010 Chin. Phys. Lett. 27 034101
[5] Goetz P G, Rabinovich W S, Binari S C and Mittereder J A 2006 IEEE Photon. Technol. Lett. 18 2278
[6] Rabinovich W S, et al 2003 IEEE Photon. Technol. Lett. 15 461
[7] Xu Z G, Zhang S L, Li Y, Du W H 2006 Acta Phys. Sin. 55 4665 (in Chinese)
[8] Xu Z G, Zhang S L, Li Y, Du W H 2005 Opt. Express 13 5565
[9] Xu Z G, Zhang S L, Du W H, Li Y 2006 Opt. Commun. 265 270
[10] Xu Z G, et al 2006 Opt. Commun. 261 118
[11] Zhou G Q 2010 Opt. Commun. 283 1236
[12] Wang K L, Zhao C L and Xu B J 2010 Opt. Laser Technol. 42 1218
[13] Pan W Q and Zhu Y J 2010 Optik 121 1383
[14] Chafiq A, Hricha Z and Belafhal A 2009 Opt. Commun. 282 3934
[15] Du X Y and Zhao D M 2008 J. Opt. Soc. Am. A 25 773
[16] Du X Y and Zhao D M 2008 Opt. Laser Technol. 40 194
[17] Zhao C L, Wang L G, Lu X H and Wang Y Z 2006 Chin. Phys. Lett. 23 2411
[18] Zhou P, Wang X L, et al 2011 Chin. Phys. Lett. 28 054204
[19] Zhao Y Z, Sun H Y, Fan P S, Li W and Zhao X L 2010 High Power Laser and Particle Beams 22 2430 (in Chinese)
[20] Yu H, Xiong L L and Lü B D 2010 Optik 121 1455
[21] Guo J, Zhao X F and Min Y 2009 Opt Commun 282 1511
[22] Zhao G P Zhang E T and Lü B D 2009 Opt Commun 282 167
[23] Zhao G P, Xiao X and Lü B D 2007 Acta Phys. Sin. 56 4608 (in Chinese)
[24] Kang X P and Lü B D 2006 Chin. Phys. Lett. 23 2430
[25] Du X Y and Zhao D M 2007 J. Opt. Soc. Am. A 24 444
[26] Li J C, Wu Y M and Li Y 2010 Adv. Imag. Electron. Phys. 164 257
[27] Duan K L, Li J F, Zhao W and Wang Y S 2008 Chin. Phys. Lett. 25 1287
[28] Ghafary B, Siampoor H and Alavinejad M 2010 Opt. Laser Technol. 42 755
[29] Liu W and Yang J 2010 Chin. Phys. Lett. 27 124301
[30] Wen J J and Breazeale M A 1988 J. Acoust. Soc. Am. 83 1752
[31] Lu X H, Chen X M, Zhang L and Xue D J 2003 Chin. Phys. Lett. 20 2155
[32] Ji X L 2009 Chin. Phys. Lett. 26 124210
[33] Liu M, Song H S, Chen X Y, Liu G Y, Teng S Y and Cheng C F 2010 Chin. Phys. Lett. 27 034202
[34] Ren Z J, Liang X Y, Liu M B, Xia C Q, Lu X M, Li R X and Xu Z Z 2009 Chin. Phys. Lett. 26 124203
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