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Taking the Laguerre-Gaussian (L-G) beam for example, the changes in the degree of paraxiality for monochromatic beams are studied in detail. It is shown that the beam parameters, including mode indiex, relative waist width, propagation through a paraxial ABCD optical system, and diffraction by an aperture may change the degree of paraxiality. But the degree of paraxiality remains unchanged in free-space propagation. The results are illustrated by numerical examples and interpreted in physics by relating the degree of beam paraxiality with the far-field divergence angle.
[1] Marcuse D 1982 Light Transmission optics 2nd ed. (New York: Van Nostrand Reinhold Company Inc)
[2] [3] Siegman A E 1986 Lasers (Mill Valley: University Science books)
[4] Zhao Y Z, Sun H Y,Song F H,Tang L M,Wu W W,Zhang X,Guo H C 2008 Acta Phys. Sin. 57 2284(in Chinese) [赵延仲、孙华燕、宋丰华、唐黎明、吴伟伟、张 曦、郭惠超 2008 57 2284]
[5] [6] Le Z C, Zhang M,Dong W,Quan B S, Liu W,LIU K.2010 Acta Phys. Sin.59 6284(in Chinese) [乐孜纯、张 明、董 文、全必胜、刘 魏、刘 恺 2010 59 6284]
[7] [8] [9] Liu B,Jin W Q,Dong L Q 2008 Acta Phys. Sin.57 5578(in Chinese) [刘 斌、金伟其、董立泉 2008 57 5578]
[10] Born M, Wolf E 1999 Principles of optics seventh ed. (Cambridge: Cambridge university Press)
[11] [12] [13] Seshadri S R 2005 Appl. Opt. 45 5335
[14] Vaveliuk P, Ruiz B, Lencian A 2007 Opt. Lett. 32 927
[15] [16] [17] Gawhary O E, Severini S 2008 Opt. Lett. 33 1360
[18] Zhou G Q 2009 Opt. Express. 17 8417
[19] [20] Gradshteyn I S, Ryzhik I M 2007 Table of Integrals, Series, and Products seventh ed. (New York: Academic Press)
[21] [22] Li Y, Wolf E 1981 Optics communications 39 211
[23] [24] [25] Wang X G, L B D 1996 Laser Technology 20 185[王喜庆、吕百达 1996 激光技术 20 185]
[26] [27] L B D 2003 Laser optics 3rd ed(Beijing: Higher Education Press) [吕百达 2003 激光光学第三版(北京:高等教育出版社)]
[28] Siegman A E 1990 SPIE 1224 2
[29] -
[1] Marcuse D 1982 Light Transmission optics 2nd ed. (New York: Van Nostrand Reinhold Company Inc)
[2] [3] Siegman A E 1986 Lasers (Mill Valley: University Science books)
[4] Zhao Y Z, Sun H Y,Song F H,Tang L M,Wu W W,Zhang X,Guo H C 2008 Acta Phys. Sin. 57 2284(in Chinese) [赵延仲、孙华燕、宋丰华、唐黎明、吴伟伟、张 曦、郭惠超 2008 57 2284]
[5] [6] Le Z C, Zhang M,Dong W,Quan B S, Liu W,LIU K.2010 Acta Phys. Sin.59 6284(in Chinese) [乐孜纯、张 明、董 文、全必胜、刘 魏、刘 恺 2010 59 6284]
[7] [8] [9] Liu B,Jin W Q,Dong L Q 2008 Acta Phys. Sin.57 5578(in Chinese) [刘 斌、金伟其、董立泉 2008 57 5578]
[10] Born M, Wolf E 1999 Principles of optics seventh ed. (Cambridge: Cambridge university Press)
[11] [12] [13] Seshadri S R 2005 Appl. Opt. 45 5335
[14] Vaveliuk P, Ruiz B, Lencian A 2007 Opt. Lett. 32 927
[15] [16] [17] Gawhary O E, Severini S 2008 Opt. Lett. 33 1360
[18] Zhou G Q 2009 Opt. Express. 17 8417
[19] [20] Gradshteyn I S, Ryzhik I M 2007 Table of Integrals, Series, and Products seventh ed. (New York: Academic Press)
[21] [22] Li Y, Wolf E 1981 Optics communications 39 211
[23] [24] [25] Wang X G, L B D 1996 Laser Technology 20 185[王喜庆、吕百达 1996 激光技术 20 185]
[26] [27] L B D 2003 Laser optics 3rd ed(Beijing: Higher Education Press) [吕百达 2003 激光光学第三版(北京:高等教育出版社)]
[28] Siegman A E 1990 SPIE 1224 2
[29]
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