Virtual source for a Mathieu–Gauss beam. (4th April 2017)

• Record Type: Journal Article
• Authors: Dan, Li; Zhijun, Ren; Suyu, Deng
• Is Part Of: Journal of optics. Volume 19:Number 5(2017:May)
• Publication Date: 2017-04-04
• Subjects: Mathieu beams -- virtual sources -- Helmholtz equation; 42.25.Bs -- 42.25.Fx -- 42.60.Jf -- 42.68.Ay; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8986/aa6309
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: We introduce a group of virtual sources for generating 2 n th-order even Mathieu–Gauss beams based on the beam superposition. Integral and differential representations are derived for a 2 n th-order even Mathieu–Gauss wave and the solution yields a corresponding 2 n th-order even paraxial Mathieu–Gauss beam in an appropriate limit. The first three orders of nonparaxial corrections for the on-axis field of the 2 n th-order even paraxial Mathieu–Gauss beam are obtained using the integral representation.