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Optical Transfer Function Measurement by Holographic Techniques

  • Kazumi Murata
  • Hirofumi Fujiwara
Conference paper

Abstract

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.

Keywords

Point Spread Output Image Light Flux Reference Wave Optical Transfer Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    K. Murata: Progress in Optics (North-Holland, Amsterdam, 1966) Vol.5, ed. E. Wolf, p.119.Google Scholar
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    M. Françon, S. Lowenthal, M. May and R. Prat: C. R. Acad. Sc. (Paris) 263, (1966) 237.Google Scholar
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    M. May: Symposium on Applications of Coherent Light, (Florence, Sept., 1968); Optica Acta l6, (1969) 569.Google Scholar
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    T. Ose, K. Matsumoto and I. Yamaguchi: U.S.-Japan Seminar on Holography (Tokyo, Oct., 1967).Google Scholar
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    K. Matsumoto and T. Ose: Japan. Jour. Appl. Phys., 7, (1968) 621.CrossRefGoogle Scholar
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    K. Murata and H. Fujiwara: to be published.Google Scholar
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    H. H. Hopkins: Optica Acta 2, (1955) 23; L. R. Baker: Proc. Phys. Soc. B68, (1955) 871, and others.CrossRefGoogle Scholar

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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