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

Spot size, depth-of-focus, and diffraction ring intensity formulas for truncated Gaussian beams

Not Accessible

Your library or personal account may give you access

Abstract

Simple polynomial formulas to calculate the FWHM and full width at 1/e 2 intensity diffraction spot size and the depth of focus at a Strehl ratio of 0.8 and 0.5 as a function of a Gaussian beam truncation ratio and a system f-number are presented. Formulas are obtained by use of the numerical integration of a Huygens-Fresnel diffraction integral and can be used to calculate the number of resolvable spots, the modulation transfer function, and the defocus tolerance of optical systems that employ laser beams. I also derived analytical formulas for the diffraction ring intensity as a function of the Gaussian beam truncation ratio and the system f-number. Such formulas can be used to estimate the diffraction-limited contrast of display and imaging systems.

© 2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Propagation and diffraction of truncated Gaussian beams

V. Nourrit, J.-L. de Bougrenet de la Tocnaye, and P. Chanclou
J. Opt. Soc. Am. A 18(3) 546-556 (2001)

Propagation of truncated Gaussian beams and their application in modeling sharp-edge diffraction

Norman G. Worku and Herbert Gross
J. Opt. Soc. Am. A 36(5) 859-868 (2019)

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 (4)

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 (2)

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 (15)

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