Abstract

We generalized the nonparaxial field components of Laguerre–Gaussian and flattened Gaussian beams obtained using the angular spectrum method to include symmetric radial and angular expansions and simplified them using an approximate evaluation of the integral equations for the field components. These field components possess series expressions in orders of a natural expansion parameter, which clarifies the physical interpretation of the series expansion. A connection between Laguerre–Gaussian and flat-top Gaussian profiles is obtained.

© 2010 Optical Society of America

Exact analytical solution for the vector electromagnetic field of Gaussian, flattened Gaussian, and annular Gaussian laser modes

Scott M. Sepke and Donald P. Umstadter
Opt. Lett. 31(10) 1447-1449 (2006)

Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes. I. Small F-number laser focusing

Scott M. Sepke and Donald P. Umstadter
J. Opt. Soc. Am. B 23(10) 2157-2165 (2006)

Analytical vectorial structure of Laguerre-Gaussian beam in the far field

Guoquan Zhou
Opt. Lett. 31(17) 2616-2618 (2006)

High-energy flat-top beams for laser launching using a Gaussian mirror

Hiroki Fujiwara, Kathryn E. Brown, and Dana D. Dlott
Appl. Opt. 49(19) 3723-3731 (2010)

Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes. II. Large F-number laser focusing

Scott M. Sepke and Donald P. Umstadter
J. Opt. Soc. Am. B 23(10) 2166-2173 (2006)