Point spread function

A lens system which forms image of a point source object is called as point spread function (or) PSF. Point spread function is also called as Fraunhofer diffraction pattern, impulse response and Green’s function.

point spread function

Figure: Above figure was generated by Zemax

</p> <p>\[\quicklatex{color="#000000" size=25}</p> <p>E_{\left(ip\right)}=\ E_{\left(ip\right)}\left(0\right){\left[\frac{{2J}_1\left({\pi q^'}/{\lambda F}\right)}{\left({\pi q^'}/{\lambda F}\right)}\right]}^2\]</p> <p>
 Eip – Image irradiance, J– Bessel function, λ – Wavelength

 

Properties of point spread function (PSF):

  • PSF can be computed from pupil function by squaring its fourier transform.
  • Peak irradiance of PSF strongly depends on wavelength λ.
  • PSF forms depends upon the shape of the pupil boundaries.

Reference:

Robert R. Shannon and James C. Wyant, “Applied optics and Optical engineering”, Academic press, Inc. Vol. 7, ISBN 0-12-408608-X (v. 8), 1980.

Summary
Point spread function
Article Name
Point spread function
Description
A lens system which forms image of a point source object is called as point spread function (or) PSF. Point spread function is also called as Fraunhofer diffraction pattern, impulse response and Green's function.
Publisher Name
Naadal
Publisher Logo

Leave a Reply