Optical Transfer Function Measurement by Holographic Techniques

  • Kazumi Murata
  • Hirofumi Fujiwara
Conference paper


In recent years, a number of methods on the measurements of optical transfer function (called OTF hereafter) have been reported [1]. The OTF of an incoherent optical system is represented by
$$R\left (s,t \right )=|R\left ( s,t \right )|exp\left \{ ia\left ( s,t \right ) \right \}$$
which is a complex function of the spatial frequency s and t. OTF is equivalent to the autocorrelation of the pupil function f(u,v) of an optical system as
$$R\left ( s,t \right )= \iint f\left ( u,v \right )f*\left ( u-s, v-t \right )dudv$$
In addition, there is the Fourier transform relation between OTF and the point spread intensity h(x,y), that is
$$R\left ( s,t \right )= \iint h\left ( x,y \right )exp \left \{ -i\left ( sx+ty \right ) \right \}dxdy$$
The measuring method on the basis of eq. (2) is called as an autocorrelation (or shearing interferometric) method and the method of eq. (3) as a Fourier transform (or scanning) method.


Point Spread Output Image Light Flux Reference Wave Optical Transfer Function 
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Copyright information

© Plenum Press, New York 1971

Authors and Affiliations

  • Kazumi Murata
    • 1
  • Hirofumi Fujiwara
    • 1
  1. 1.Department of Applied PhysicsHokkaido UniversitySapporoJapan

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