Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder

doi:10.1088/1674-1056/19/10/104202

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 104202-104202.doi: 10.1088/1674-1056/19/10/104202

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder

李海英, 吴振森, 李正军

School of Science, Xidian University, Xi'an 710071, China

收稿日期:2010-01-19 修回日期:2010-03-17 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60771038 and 60971065), and the Fundamental Research Funds for the Central Universities, China.

Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder

Li Hai-Ying(李海英)^†, Wu Zhen-Sen(吴振森), and Li Zheng-Jun(李正军)

School of Science, Xidian University, Xi'an 710071, China

Received:2010-01-19 Revised:2010-03-17 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60771038 and 60971065), and the Fundamental Research Funds for the Central Universities, China.

摘要/Abstract

摘要： With the recursive relations of Bessel function and applying inductive approach, the consistency between the scattering coefficient formula of Debye series and that of the generalized Lorentz--Mie theory (GLMT) in the scattering of a multilayer cylinder illuminated by a laser beam is proved in detail. As an application example, rainbow phenomenon in the scattering of a two-layer cylinder is discussed by the Debye series components. It can be concluded that the radius and the refractive index of a two-layer cylinder have an effect on the twin-primary rainbow, and the high-order Debye series components which are associated with the high-order rainbows are more complex than those of a homogeneous cylinder.

Abstract: With the recursive relations of Bessel function and applying inductive approach, the consistency between the scattering coefficient formula of Debye series and that of the generalized Lorentz–Mie theory (GLMT) in the scattering of a multilayer cylinder illuminated by a laser beam is proved in detail. As an application example, rainbow phenomenon in the scattering of a two-layer cylinder is discussed by the Debye series components. It can be concluded that the radius and the refractive index of a two-layer cylinder have an effect on the twin-primary rainbow, and the high-order Debye series components which are associated with the high-order rainbows are more complex than those of a homogeneous cylinder.

Key words: laser beam scattering, a multilayer cylinder, rainbow phenomena

中图分类号: (Sequences, series, and summability)

02.30.Lt

42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)

李海英, 吴振森, 李正军. Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder[J]. 中国物理B, 2010, 19(10): 104202-104202.

Li Hai-Ying(李海英), Wu Zhen-Sen(吴振森), and Li Zheng-Jun(李正军). Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder[J]. Chin. Phys. B, 2010, 19(10): 104202-104202.

参考文献 25

[1]	Wang Q H, Zhang Y Y, Lai J C, Li Z H and He A Z 2007 wxActa Phys. Sin. 56 1203 (in Chinese)
[2]	Sun X M, Wang H H, Liu W Q and Shen J 2009 wx Chin. Phys. B 18 1040
[3]	Gouesbet G, Gréhan G and Maheu B 1988 wxAppl. Opt. 27 4874
[4]	Gréhan G, Maheu B and Gouesbet G 1988 wxJournal of Aerosol Science 19 55
[5]	Gouesbet G, Gréhan G and Ren K F 1998 wx J. Opt. Soc. Am. A 15 5113
[6]	Han Y P and Wu Z S 2001 wxAppl. Opt. 40 2501
[7]	Wu Z, Guo L, Ren K F, Gouesbet G and Gréhan G 1997 wxAppl. Opt. 36 5188
[8]	Wu Z S and Guo L X 1998 wxProgress in Electromagnetic Research 18 317
[9]	Zhang H Y and Han Y P 2005 wxIEEE Trans. Antennas. Propag. 53 1514
[10]	Han G X and Han Y P 2009 wxActa Phys. Sin. 58 6167 (in Chinese)
[11]	Marston P L 1980 wx Appl. Opt. 19 680
[12]	Lee R L Jr 1991 wxAppl. Opt. 30 3401
[13]	Langley D S and Morrell M J 1991 wxAppl. Opt. 30 3459
[14]	Beeck J V and Riethmuller M L 1996 wxAppl. Opt. 35 2259
[15]	Lock J A and Adler C L 1997 wxJ. Opt. Soc. Am. A 14 1316
[16]	Adler C L, Lock J A and Stone B R 1998 wxAppl. Opt. 37 1540
[17]	Han X E, Ren K F, Wu Z S, Corbin F, Gouesbet G and Gréhan G 1998 wxAppl. Opt. 37 8498
[18]	Hom J and Chigier N 2002 wxAppl. Opt. 41 1899
[19]	Lock J A 1993 wxJ. Opt. Soc. Am. A 10 693
[20]	Adler C L and Lock J A 2003 wxAppl. Opt. 42 6584
[21]	Lock J A, Jamison J M and Lin C Y 1994 wxAppl. Opt. 33 4677
[22]	Li R X, Han X E, Jiang H F and Ren K F 2006 wxAppl. Opt. 45 1260
[23]	Li R X, Han X E, Jiang H F and Ren K F 2006 wxAppl. Opt. 45 6255
[24]	Li R X, Han X E, Shi L J, Ren K F and Jiang H F 2007 wx Appl. Opt. 46 4804
[25]	Wu Z S and Li H Y 2008 wxChin. Phys. Lett. 25 1672 endfootnotesize

Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder

Relation between Debye series and generalized Lorentz–Mie theory of laser beam scattering by multilayer cylinder

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