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→Theory: remove references to the Airy function, since the Airy function is not involved in the calculation of the Airy disk. That's why it was also removed in the article for the Airy function. See the Airy disk article for reference, which *doesn't* refer to the Airy function. |
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Due to intrinsic limited resolution of the imaging systems, measured PSFs are not free of uncertainty.<ref>{{Cite journal|last1=Ahi|first1=Kiarash|last2=Shahbazmohamadi|first2=Sina|last3=Asadizanjani|first3=Navid|date=July 2017|title=Quality control and authentication of packaged integrated circuits using enhanced-spatial-resolution terahertz time-___domain spectroscopy and imaging|url=https://www.researchgate.net/publication/318712771|journal=Optics and Lasers in Engineering|volume=104|pages=274–284|doi=10.1016/j.optlaseng.2017.07.007|bibcode=2018OptLE.104..274A}}</ref> In imaging, it is desired to suppress the side-lobes of the imaging beam by [[apodization]] techniques. In the case of transmission imaging systems with Gaussian beam distribution, the PSF is modeled by the following equation:<ref>{{Cite journal|last=Ahi|first=K.|date=November 2017|title=Mathematical Modeling of THz Point Spread Function and Simulation of THz Imaging Systems|journal=IEEE Transactions on Terahertz Science and Technology|volume=7|issue=6|pages=747–754|doi=10.1109/tthz.2017.2750690|issn=2156-342X|bibcode=2017ITTST...7..747A|s2cid=11781848}}</ref>
<math>PSF(f,z)=I_r(0,z,f)\exp
where ''k-factor'' depends on the truncation ratio and level of the irradiance, ''NA'' is numerical aperture, ''c'' is the speed of light, ''f'' is the photon frequency of the imaging beam, ''I<sub>r</sub>'' is the intensity of reference beam, ''a'' is an adjustment factor and <math>\rho</math> is the radial position from the center of the beam on the corresponding ''z-plane''.
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