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

Multipole expansion of circularly symmetric Bessel beams of arbitrary order for scattering calculations
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用于散射计算的任意阶圆对称贝塞尔光束的多极展开

DOI:
10.1016/j.optcom.2016.11.038
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发表时间:
2017-03
影响因子:
2.4
通讯作者:
Hartmann Peter
Hartmann Peter
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Wang Jia Jie;Wriedt Thomas;Maedler Lutz;Han Yi Ping;Hartmann Peter

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本文对圆对称贝塞尔梁的多极展开问题给出了一种严谨、简单、有效的方法。与现有的基于贝塞尔梁平面波谱的严格方法不同,本文提出了一种直接积分方法来获得展开系数的解析表达式,也称为波束形状系数(BSC)。在轴上和离轴两种情况下,数值验证了BSCS的收敛和正确性。当考虑贝塞尔光束时,本文的结果可用于各种分析散射理论,如广义Lorenz-Mie理论和零场方法。
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.
DOI: 10.1364/ol.31.002477
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