Multipole expansion of circularly symmetric Bessel beams of arbitrary order for scattering calculations

被引:79
作者
Wang, Jia Jie [1 ,2 ]
Wriedt, Thomas [2 ]
Maedler, Lutz [2 ]
Han, Yi Ping [1 ]
Hartmann, Peter [3 ]
机构
[1] Xidian Univ, Sch Phys & Optoelect Engn, Xian 710071, Peoples R China
[2] Univ Bremen, Dept Prod Engn, Fdn Inst Mat Sci IWT, Badgasteiner Str 3, D-28359 Bremen, Germany
[3] Univ Appl Sci Appl Phys & Comp Sci, Westsaechs Hsch Zwickau, D-08056 Zwickau, Germany
基金
中国国家自然科学基金;
关键词
Bessel beam; Light scattering; Generalized Lorenz-Mie theory; Beam shape coefficients; INTEGRAL LOCALIZED APPROXIMATION; PARTIAL-WAVE EXPANSION; LIGHT;
D O I
10.1016/j.optcom.2016.11.038
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A rigorous, simple and efficient approach is derived in this paper for multipole expansion of a circularly symmetric Bessel beam. Different from the existing rigorous methods which are based on the plane wave spectrum of a Bessel beam, a straight-forward integral procedure is presented in a traditional way to obtain the analytical expressions of the expansion coefficients, also called beam shape coefficients (BSCs). The convergence and correctness of the BSCs are verified numerically in detail for both on-axis and off-axis cases. The results in this paper are useful in various analytical scattering theories, such as the generalized Lorenz-Mie theory and the Null-field method, when a Bessel beam is considered.
引用
收藏
页码:102 / 109
页数:8
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