Abstract

A new mathematical model called “controllable dark-hollow beams” is introduced to describe hollow beams. The central dark size of this beam can be controlled easily by the beam order N and parameter ϵ. An analytical formula is derived for the propagation of a controllable dark-hollow beam through a paraxial optical system, and some numerical calculations are carried out. Some important propagation characteristics of this beam, such as the beam propagation factor and the kurtosis parameter, are studied in detail, and their variation rules versus the beam order N and parameter ϵ are presented and plotted.

© 2005 Optical Society of America

Controllable elliptical dark-hollow beams

Zhangrong Mei and Daomu Zhao
J. Opt. Soc. Am. A 23(4) 919-925 (2006)

Nonparaxial propagation of controllable dark-hollow beams

Zhangrong Mei and Daomu Zhao
J. Opt. Soc. Am. A 25(3) 537-542 (2008)

Propagation characteristics of controllable dark-hollow beams in a quadratic-index medium

Gholamreza Honarasa
J. Opt. Soc. Am. A 35(3) 462-465 (2018)

Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems

Yangjian Cai and Qiang Lin
J. Opt. Soc. Am. A 21(6) 1058-1065 (2004)

Hollow Gaussian beams and their propagation properties

Yangjian Cai, Xuanhui Lu, and Qiang Lin
Opt. Lett. 28(13) 1084-1086 (2003)