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

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

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.

Keywords: laser beam scattering a multilayer cylinder rainbow phenomena

Received: 19 January 2010
Revised: 17 March 2010
Accepted manuscript online:

PACS:	02.30.Lt	(Sequences, series, and summability)
	42.60.Jf	(Beam characteristics: profile, intensity, and power; spatial pattern formation)

Fund: 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.

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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 2010 Chin. Phys. B 19 104202

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

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