Urey Hakan
Department of Electrical Engineering and Optoelectronics Research Center, Koç University, Sariyer, 34450 Istanbul, Turkey.
Appl Opt. 2004 Jan 20;43(3):620-5. doi: 10.1364/ao.43.000620.
Simple polynomial formulas to calculate the FWHM and full width at 1/e2 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.
给出了简单的多项式公式，用于计算半高宽（FWHM）、1/e²强度处的衍射光斑尺寸全宽以及在斯特列尔比为0.8和0.5时的焦深，它们是高斯光束截断比和系统f数的函数。这些公式是通过对惠更斯 - 菲涅耳衍射积分进行数值积分得到的，可用于计算采用激光束的光学系统中可分辨光斑的数量、调制传递函数和离焦容限。我还推导了作为高斯光束截断比和系统f数函数的衍射环强度的解析公式。此类公式可用于估计显示和成像系统的衍射极限对比度。
