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Authors: K. Quang Le
Title: Complex Padé approximant operators for wide-angle beam propagation
Format: International Journal
Publication date: 4/2009
Journal/Conference/Book: Optics Communications
Volume(Issue): 282(7) p.1252-1254
DOI: 10.1016/j.optcom.2008.12.014
Citations: 16 ( - last update: 5/6/2023)
15 (OpenCitations - last update: 3/5/2023)
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The conventional rational Hadley(m, n) approximant of wide-angle beam propagator based on real Padé approximant operators incorrectly propagates the evanescent modes. In order to overcome this problem, two complex Padé approximants of wide-angle beam propagator are presented in this paper. The complex propagators of the first approach are obtained by using the same recurrence formula from the scalar Helmholtz equation of the conventional approximant method with a different initial value while those of the second method derived from Hadley(m, n) approximant of a square-root operator that has been rotated in the complex plane. These resulting approaches allow more accurate approximations to the Helmholtz equation than the well-known real Padé approximant. Furthermore, our proposed complex Padé approximant operators give the evanescent modes the desired damping.

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