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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 48, Iss. 7 — Jul. 1, 1958
  • pp: 490–494

Relationship between the Sine-Wave Response and the Distribution of Energy in the Optical Image of a Line

ROBERT L. LAMBERTS  »View Author Affiliations

JOSA, Vol. 48, Issue 7, pp. 490-494 (1958)

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The method of obtaining the sine-wave response of a lens, both theoretically and experimentally, is described, and it is shown that the line spread-function can be derived from the sine-wave response alone if the spread function is symmetrical. If the spread-function is not symmetrical, it can be computed from the sine-wave response only when the phase function is also known, and an experimental method of obtaining this function is described. The mathematical procedure for the reciprocal inversion of the spread-function and the sine-wave response is confirmed experimentally.

ROBERT L. LAMBERTS, "Relationship between the Sine-Wave Response and the Distribution of Energy in the Optical Image of a Line," J. Opt. Soc. Am. 48, 490-494 (1958)

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  1. Lamberts, Higgins, and Wolfe, J. Opt. Soc. Am. 48, 487 (1958).
  2. P. Lindberg, Optica Acta 1, 80 (1954).
  3. Ingelstam, Djurle, and Sjögren, J. Opt. Soc. Am. 46, 707 (1956).
  4. R. V. Churchill, Fourier Series and Boundary Value Problems (McGraw-Hill Book Company, Inc., New York, 1941), pp. 88–92.

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