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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 3 — Jan. 20, 2004
  • pp: 620–625

Spot Size, Depth-of-Focus, and Diffraction Ring Intensity Formulas for Truncated Gaussian Beams

Hakan Urey  »View Author Affiliations


Applied Optics, Vol. 43, Issue 3, pp. 620-625 (2004)
http://dx.doi.org/10.1364/AO.43.000620


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Abstract

Simple polynomial formulas to calculate the FWHM and full width at 1/<i>e</i><sup>2</sup> 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 <i>f</i>-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 <i>f</i>-number. Such formulas can be used to estimate the diffraction-limited contrast of display and imaging systems.

© 2004 Optical Society of America

OCIS Codes
(110.3000) Imaging systems : Image quality assessment
(120.2040) Instrumentation, measurement, and metrology : Displays
(120.5800) Instrumentation, measurement, and metrology : Scanners
(170.5810) Medical optics and biotechnology : Scanning microscopy
(260.1960) Physical optics : Diffraction theory
(350.5730) Other areas of optics : Resolution

Citation
Hakan Urey, "Spot Size, Depth-of-Focus, and Diffraction Ring Intensity Formulas for Truncated Gaussian Beams," Appl. Opt. 43, 620-625 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-3-620


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References

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