On the basis of superposition of beams, a group of virtual sources that generate a cosh-Gaussian wave is identified. A closed-form expression is derived for this cosh-Gaussian wave, which, in the appropriate limit, yields the paraxial approximation for the cosh-Gaussian beam. From this expression, the paraxial approximation and the nonparaxial corrections of all orders for the corresponding paraxial cosh-Gaussian beam are determined.
© 2007 Optical Society of America
Original Manuscript: September 15, 2006
Revised Manuscript: October 24, 2006
Manuscript Accepted: October 25, 2006
Published: January 12, 2007
Yucheng Zhang, Yuanjun Song, Zongrong Chen, Jianhua Ji, and Zhixiong Shi, "Virtual sources for a cosh-Gaussian beam," Opt. Lett. 32, 292-294 (2007)