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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 3 — Mar. 1, 1982
  • pp: 327–330

Holography and the inverse source problem

R. P. Porter and A. J. Devaney  »View Author Affiliations


JOSA, Vol. 72, Issue 3, pp. 327-330 (1982)
http://dx.doi.org/10.1364/JOSA.72.000327


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Abstract

The inverse source problem for monochromatic sources Re[ρ(r, ω)e-iωt] to the scalar-wave equation is investigated. It is shown that a unique solution to the inverse source problem can be obtained by imposing the constraint that the solution minimize the source energy E = ∫ d3r|ρ(r, ω)|2. For certain recording geometries the time derivative of the real image produced by a point-reference hologram is shown to be directly proportional to the time-reversed minimum energy source Re[ρ*ME(r, ω)e-iωt] in the short-wavelength limit.

© 1982 Optical Society of America

Citation
R. P. Porter and A. J. Devaney, "Holography and the inverse source problem," J. Opt. Soc. Am. 72, 327-330 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-3-327

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