Journal
APPLIED OPTICS
Volume 43, Issue 3, Pages 620-625Publisher
OPTICAL SOC AMER
DOI: 10.1364/AO.43.000620
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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. (C) 2004 Optical Society of America.
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