Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Gamma and gamma-coupled beams

Not Accessible

Your library or personal account may give you access

Abstract

A new class of scalar, rotationally symmetric Gaussian-like beams is introduced. The slowly varying amplitudes of such beams are represented as analytical solutions to the paraxial wave equation, described in terms of the incomplete gamma functions and their products with quadratic exponential and power functions of different kinds. The specific functional forms of these solutions give rise to such names as gamma, gamma-Gaussian, gamma-parabolic, and gamma-anti-Gaussian beams. It is established that, within a focal volume specified by a waist size and the depth of field of about three Rayleigh lengths of the fundamental Gaussian beam of the same waist size, the parametrically optimized zero-order gamma and gamma-coupled beams possess more stabilized transverse sizes, very weak transverse irradiance sidelobes, more uniform axial irradiance distributions, and more steep controllable fall-offs of the last distributions relative to those that are inherent in the above fundamental Gaussian beam and the Bessel–Gauss beams with linear and quadratic radial dependence and the same waist size.

© 2018 Optical Society of America

Full Article  |  PDF Article
More Like This
Extending a set of well-focused beams described by gamma and gamma-coupled functions

Andrey G. Sedukhin
Appl. Opt. 57(30) 9078-9085 (2018)

Producing an efficient, collimated, and thin annular beam with a binary axicon

Oz Livneh, Gadi Afek, and Nir Davidson
Appl. Opt. 57(12) 3205-3208 (2018)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved