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

Use of effective focal lengths to describe laser-beam evolution after diffraction in radial gratings

Not Accessible

Your library or personal account may give you access

Abstract

We present a new approach for solving diffraction problems by radial gratings. The method, which uses a Cartesian coordinate reference system, allows us to perform the diffraction integral without prior knowledge of the explicit form of the grating-transmission function. As a result of simple physical arguments, it is possible to find analytical expressions for the diffracted field; and therefore the characteristics of the intensity distribution, such as its astigmatism, orientation, and beamwaist position, can be analyzed by means of the properties of the solution. By comparing the curvature radius of the two sections of the diffracted beam with that of the incident beam, we found that the behavior of the ±1 diffraction order can be well explained by means of two effective focal lengths, which depend only on the angular period and the radius of the grating, as well as on the wavelength of the illuminating source. We performed experimental measurements and obtained good agreement between the theoretical predictions and the experimental results.

© 1993 Optical Society of America

Full Article  |  PDF Article
More Like This
Effective-focal-length calculations and measurements for a radial diffraction grating

Jeffrey A. Koch, Steven Cui, and Michael A. McNeill
J. Opt. Soc. Am. A 16(11) 2690-2694 (1999)

Local wave fronts at diffractive elements

Norbert Lindlein and Johannes Schwider
J. Opt. Soc. Am. A 10(12) 2563-2572 (1993)

Experimental observation of the aberration effects on a radially polarized beam

Mohammad Gaffar, Ranjan Kalita, and Bosanta R. Boruah
J. Opt. Soc. Am. A 33(11) 2178-2187 (2016)

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 (6)

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 (59)

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