Journal
OPTICS COMMUNICATIONS
Volume 387, Issue -, Pages 102-109Publisher
ELSEVIER
DOI: 10.1016/j.optcom.2016.11.038
Keywords
Bessel beam; Light scattering; Generalized Lorenz-Mie theory; Beam shape coefficients
Categories
Funding
- National Natural Science Foundation of China [61501350]
- Natural Science Basic Research Plan in Shaanxi Province of China [2015JQ6264]
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
- German Research Foundation (DFG) [SPP 1934, WR 22/53-1, MA 3333/12-1]
- China Scholarship Council
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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.
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