Open AccessHigh order Hankel transform based on Dini expansion and its applications in beam propagation
Author(s) -
Kaiming You,
Lin Yan-Ling,
Youwen Wang,
Liezun Chen,
Dai Zhi-ping,
Shizhuan Lu
Publication year - 2013
Publication title -
acta physica sinica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.140203
Subject(s) - hankel transform , beam (structure) , transformation (genetics) , algorithm , series (stratigraphy) , hankel matrix , computer science , transmission (telecommunications) , order (exchange) , distribution (mathematics) , beam propagation method , mathematical analysis , mathematics , optics , physics , bessel function , telecommunications , finance , economics , paleontology , biochemistry , chemistry , biology , refractive index , gene
Based on Dini series expansion, p(>0) order quasi discrete Hankel transform (pDQDHT) algorithm is deduced. The application of this algorithm in beam propagation is presented. pDQDHT algorithm is tested with various input functions and used in beam propagation through lens. Experimental results show that the pDQDHT algorithm possesses a high accuracy compared with existing Hankel transformation algorithms. The pDQDHT algorithm can be transformed forwardly and inversely and widely used in beam distribution of transmission. The implementing speed is comparable to that of general fast Hankel transform algorithm.
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