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The scattering features of a spheroidal particle illuminated by the Laguerre- Gaussian (LG) beam have been studied based on the generalized Lorenz-Mie theory. By using the localized approximations method, the beam shape coefficients are evaluated and the results obtained agree with the cases of on-axis incidence. Calculations of the far-field scattering intensity are performed to study the LG beam scattered by spheroids, of different size parameters and eccentricities. The simulation results show that when the particle's size parameter is within the range that can be compared to the wavelength of the incident light, the magnitude of the scattering intensity will increase as the particle's size parameter increases, and it will decrease as the ratio of the spheroid's major axis to minor axis increases. Comparisons between LG beams with different topological charges illumination are made and explained physically. It turns out that the magnitude of the scattering intensity decreases as the topological charge increases. The theoretical investigation in this paper may provide a more accurate particle model and reference for applications of LG beams in areas such as particle size measurement, atmospheric laser communication, atmospheric remote sensing and so on.
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Keywords:
- spheroid /
- Laguerre-Gaussian /
- beam shape coefficients /
- scattering intensity
[1] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. Lett. 45 8185
[2] Mair A, Vaziri A, Weihs G, Zeilinger A 1990 Nature 412 313
[3] He H, Friese M E J, Heckenberg N R, Rubinsztein-Dunlop 1995 Phys. Rev. Lett. 75 826
[4] Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52
[5] Molina-Terriza G, Torres J, Torner L 2002 Phys. Rev. Lett. 88 13601
[6] Franke-Arnold S, Barnett S, Yao E, Leach J, Courtial J, Padgett M 2004 New J. Phys. 6 103
[7] Li L W, Kooi P S, Leong M S, Yeo T S, Gao M Z 1995 IEEE Trans. Antennas and Propagation 43 811
[8] Zhao J Z, Jiang Y S, Ou J, Ye J H 2012 Acta Phys. Sin. 61 064202 (in Chinese) [赵继芝, 江月松, 欧军, 叶继海 2012 61 064202]
[9] van de Nes A S, Török P 2007 Opt. Express. 15 13360
[10] Asano S, Yamamoto G 1975 Appl. Opt. 14 29
[11] Gouesbet G, Maheu B, Grehan G 1988 J. Opt. Soc. Am. A 5(9) 1427
[12] Han Y P 2005 Acta Phys. Sin. 54 5139 (in Chinese) [韩一平 2005 54 5139]
[13] Han Y P, Wu Z S 2001 Appl. Opt. 40 2501
[14] Allen L, Lembessis V E, Babiker M 1996 Phys. Rev. A 53 R2937
[15] Piestun R, Schechner Y Y, Shamir J 2000 J. Opt. Soc. Am. A 17 294
[16] Siegman A E 1986 Lasers (University Science)
[17] Flammer C 1957 Spheroidal Wave Functions (California: Stanford University Press)
[18] Xu F, Ren K F, Gouesbet G, Grehan G, Cai X 2007 J. Opt. Soc. Am. A 24 119
[19] Gouesbet G, Grehan G, Maheu B 1988 Appl. Opt. 37 4218
[20] Maheu B, Gouesbet G, Grehan G 1988 J. Opt. 19 59
[21] Grehan G, Maheu B, Gouesbet G 1986 Appl. Opt. 25 3539
[22] Ren K F, Gouesbet G, Grehan G 1998 Appl. Opt. 37 4218
[23] Asano S 1979 Appl. Opt. 18 712
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[1] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. Lett. 45 8185
[2] Mair A, Vaziri A, Weihs G, Zeilinger A 1990 Nature 412 313
[3] He H, Friese M E J, Heckenberg N R, Rubinsztein-Dunlop 1995 Phys. Rev. Lett. 75 826
[4] Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52
[5] Molina-Terriza G, Torres J, Torner L 2002 Phys. Rev. Lett. 88 13601
[6] Franke-Arnold S, Barnett S, Yao E, Leach J, Courtial J, Padgett M 2004 New J. Phys. 6 103
[7] Li L W, Kooi P S, Leong M S, Yeo T S, Gao M Z 1995 IEEE Trans. Antennas and Propagation 43 811
[8] Zhao J Z, Jiang Y S, Ou J, Ye J H 2012 Acta Phys. Sin. 61 064202 (in Chinese) [赵继芝, 江月松, 欧军, 叶继海 2012 61 064202]
[9] van de Nes A S, Török P 2007 Opt. Express. 15 13360
[10] Asano S, Yamamoto G 1975 Appl. Opt. 14 29
[11] Gouesbet G, Maheu B, Grehan G 1988 J. Opt. Soc. Am. A 5(9) 1427
[12] Han Y P 2005 Acta Phys. Sin. 54 5139 (in Chinese) [韩一平 2005 54 5139]
[13] Han Y P, Wu Z S 2001 Appl. Opt. 40 2501
[14] Allen L, Lembessis V E, Babiker M 1996 Phys. Rev. A 53 R2937
[15] Piestun R, Schechner Y Y, Shamir J 2000 J. Opt. Soc. Am. A 17 294
[16] Siegman A E 1986 Lasers (University Science)
[17] Flammer C 1957 Spheroidal Wave Functions (California: Stanford University Press)
[18] Xu F, Ren K F, Gouesbet G, Grehan G, Cai X 2007 J. Opt. Soc. Am. A 24 119
[19] Gouesbet G, Grehan G, Maheu B 1988 Appl. Opt. 37 4218
[20] Maheu B, Gouesbet G, Grehan G 1988 J. Opt. 19 59
[21] Grehan G, Maheu B, Gouesbet G 1986 Appl. Opt. 25 3539
[22] Ren K F, Gouesbet G, Grehan G 1998 Appl. Opt. 37 4218
[23] Asano S 1979 Appl. Opt. 18 712
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