Abstract

In this paper it is shown that the system transfer function for a cascaded set of optical elements utilizing partially coherent quasimonochromatic radiation is the autoconvolution of an “effective aperture function.” This distribution function is shown to be the product of the aperture distribution functions for each of the cascaded elements of the system. The limiting cases for coherent and incoherent radiation are examined and discussed with respect to their experimental significance.

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  1. H. V. Kennedy, J. Opt. Soc. Am. 55, 616A (1965).
  2. This is a quote from A. Walters, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic Press Inc., New York and London, 1965), Vol. 1, Ch. 7, p. 245.
  3. M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall Co., Inc., Englewood Cliffs, New Jersey, 1964).
  4. It should be noted that this is the usual definition of the well-known incoherent optical transfer function sometimes denoted by M or τ.

Beran, M. J.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall Co., Inc., Englewood Cliffs, New Jersey, 1964).

Kennedy, H. V.

H. V. Kennedy, J. Opt. Soc. Am. 55, 616A (1965).

Parrent, Jr., G. B.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall Co., Inc., Englewood Cliffs, New Jersey, 1964).

Walters, A.

This is a quote from A. Walters, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic Press Inc., New York and London, 1965), Vol. 1, Ch. 7, p. 245.

Other

H. V. Kennedy, J. Opt. Soc. Am. 55, 616A (1965).

This is a quote from A. Walters, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic Press Inc., New York and London, 1965), Vol. 1, Ch. 7, p. 245.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall Co., Inc., Englewood Cliffs, New Jersey, 1964).

It should be noted that this is the usual definition of the well-known incoherent optical transfer function sometimes denoted by M or τ.

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