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Scattering of the focused Laguerre-Gaussian beams by a spherical particle

## Scattering of the focused Laguerre-Gaussian beams by a spherical particle

Zhao Ji-Zhi, Jiang Yue-Song, Ou Jun, Ye Ji-Hai
• #### Abstract

Scattering of the focused Laguerre-Gaussian beams by a spherical particle is performed. According to the generalized Mie theory, the scattering coefficient expressions are gained. From the numerical simulations of the electric field distribution and scattering intensity of the focused Laguerre-Gaussian beams, the scattering intensities are discussed for different scattering angles, radii of spherical particles and topology changes, and the oscillatory behavior of the scattered intensity distribution is explained by the scattering coefficients. The results show that in the focused Laguerre-Gaussian beams, the backscattering intensity increases with the particle radius; and the particle radius when the scattering intensity begins to increase is related to the topological charge. Comparing with the Gaussian beams, we can see that the focuced Laguerre-Gaussian beams have different the scattering characteristics, so they have potential value for particle size measurement, optical communication, atmospheric backscattering detection, etc.

#### Authors and contacts

###### Corresponding author: Zhao Ji-Zhi, bhcd9@163.com
• Funds: Project supported by the National Basic Research Program of China (Grant No. 2011CB707001).

#### References

 [1] Allen L, Padgett M J, Babiker M, Wolf E 1999 Prog. Optics 39 291 [2] Allen L, Beijersbergen M W, Spreeuw R J, Woerdman J P 1992 Phys. Rev. A 45 8185 [3] Simpson N, Dholakia K, Allen L, Padgett M 1997 Opt. Lett. 22 52 [4] O Neil A, Padgett M 2001 Opt. Commun. 193 45 [5] Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313 [6] Bouchal Z, Celechovsky R 2004 New J. Phys. 6 131 [7] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Express 12 5448 [8] Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202 (in Chinese) [黎芳, 江月松, 唐华, 王海洋 2009 物理学报 58 6202] [9] Li F, Tang H, Jiang Y S, Ou J 2011 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2011 物理学报 60 014204] [10] Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302 (in Chinese) [吕宏, 柯熙政 2009 物理学报 58 8302] [11] Gao M W, Gao C Q, He X Y, Li J Z, Wei G H 2004 Acta Phys. Sin. 53 413 (in Chinese) [高明伟, 高春清, 何晓燕, 李家泽, 魏光辉 2004 物理学报 53 413] [12] Garbin V, Volpe G, Ferrari E, Versluis M, Cojoc D, Petrov D 2009 New J. Phys. 11 013046 [13] Davis L W 1979 Phys. Rev. A 19 1177 [14] Gouesbet G, Maheu B, Grehan G 1988 J. Opt. Soc. Am. A 5 1427 [15] Gouesbet G, Grehan G, Maheu B 1988 Appl. Opt. 27 4874 [16] Gouesbet G, Grehan G, Maheu B 1990 J. Opt. Soc. Am. A 7 998 [17] van de Nes A S, Pereira S F, Braat J J M 2006 J. Mod. Opt. 53 677 [18] van de Nes A S, T? r? k P 2007 Opt. Express 15 13360 [19] Abramowitz M, Stegun I A 1970 Handbook of Mathematical Functions (New York: Dover Publications) p146–155 [20] van de Hulst H C 1981 Light Scattering by Small Particles (New York: Dover publications) p114–128 [21] Poincelot P 1963 Precis d’Electromagnetisme Theorique (Paris: Dunod) p89–112 [22] Mie G 1908 Ann. Phys. 330 377 [23] Wu Z S, Yuan Q K, Peng Y, Li Z J 2009 J. Opt. Soc. Am. A 26 1778 [24] Wu P, Han Y P, Liu D F 2005 Acta Phys. Sin. 54 2676 (in Chinese) [吴鹏, 韩一平, 刘德芳 2005 物理学报 54 2676]

#### Cited By

•  [1] Allen L, Padgett M J, Babiker M, Wolf E 1999 Prog. Optics 39 291 [2] Allen L, Beijersbergen M W, Spreeuw R J, Woerdman J P 1992 Phys. Rev. A 45 8185 [3] Simpson N, Dholakia K, Allen L, Padgett M 1997 Opt. Lett. 22 52 [4] O Neil A, Padgett M 2001 Opt. Commun. 193 45 [5] Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313 [6] Bouchal Z, Celechovsky R 2004 New J. Phys. 6 131 [7] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Express 12 5448 [8] Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202 (in Chinese) [黎芳, 江月松, 唐华, 王海洋 2009 物理学报 58 6202] [9] Li F, Tang H, Jiang Y S, Ou J 2011 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2011 物理学报 60 014204] [10] Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302 (in Chinese) [吕宏, 柯熙政 2009 物理学报 58 8302] [11] Gao M W, Gao C Q, He X Y, Li J Z, Wei G H 2004 Acta Phys. Sin. 53 413 (in Chinese) [高明伟, 高春清, 何晓燕, 李家泽, 魏光辉 2004 物理学报 53 413] [12] Garbin V, Volpe G, Ferrari E, Versluis M, Cojoc D, Petrov D 2009 New J. Phys. 11 013046 [13] Davis L W 1979 Phys. Rev. A 19 1177 [14] Gouesbet G, Maheu B, Grehan G 1988 J. Opt. Soc. Am. A 5 1427 [15] Gouesbet G, Grehan G, Maheu B 1988 Appl. Opt. 27 4874 [16] Gouesbet G, Grehan G, Maheu B 1990 J. Opt. Soc. Am. A 7 998 [17] van de Nes A S, Pereira S F, Braat J J M 2006 J. Mod. Opt. 53 677 [18] van de Nes A S, T? r? k P 2007 Opt. Express 15 13360 [19] Abramowitz M, Stegun I A 1970 Handbook of Mathematical Functions (New York: Dover Publications) p146–155 [20] van de Hulst H C 1981 Light Scattering by Small Particles (New York: Dover publications) p114–128 [21] Poincelot P 1963 Precis d’Electromagnetisme Theorique (Paris: Dunod) p89–112 [22] Mie G 1908 Ann. Phys. 330 377 [23] Wu Z S, Yuan Q K, Peng Y, Li Z J 2009 J. Opt. Soc. Am. A 26 1778 [24] Wu P, Han Y P, Liu D F 2005 Acta Phys. Sin. 54 2676 (in Chinese) [吴鹏, 韩一平, 刘德芳 2005 物理学报 54 2676]
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•  Citation:
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• Abstract views:  2311
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##### Publishing process
• Received Date:  04 May 2011
• Accepted Date:  21 June 2011
• Published Online:  20 March 2012

## Scattering of the focused Laguerre-Gaussian beams by a spherical particle

###### Corresponding author: Zhao Ji-Zhi, bhcd9@163.com;
• 1. School of Electronic and Information Engineering, BeiHang University, Beijing 100191, China
Fund Project:  Project supported by the National Basic Research Program of China (Grant No. 2011CB707001).

Abstract: Scattering of the focused Laguerre-Gaussian beams by a spherical particle is performed. According to the generalized Mie theory, the scattering coefficient expressions are gained. From the numerical simulations of the electric field distribution and scattering intensity of the focused Laguerre-Gaussian beams, the scattering intensities are discussed for different scattering angles, radii of spherical particles and topology changes, and the oscillatory behavior of the scattered intensity distribution is explained by the scattering coefficients. The results show that in the focused Laguerre-Gaussian beams, the backscattering intensity increases with the particle radius; and the particle radius when the scattering intensity begins to increase is related to the topological charge. Comparing with the Gaussian beams, we can see that the focuced Laguerre-Gaussian beams have different the scattering characteristics, so they have potential value for particle size measurement, optical communication, atmospheric backscattering detection, etc.

Reference (24)

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