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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 7 — Jul. 1, 2000
  • pp: 1256–1264

Measurement of Helmholtz wave fields

Miguel A. Alonso  »View Author Affiliations


JOSA A, Vol. 17, Issue 7, pp. 1256-1264 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001256


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Abstract

A simple formalism is found for the measurement of wave fields that satisfy the Helmholtz equation in free space. This formalism turns out to be analogous to the well-known theory of measurements for quantum-mechanical wave functions: A measurement corresponds to the squared magnitude of the inner product (in a suitable Hilbert space) of the wave field and a field that is associated with the detector. The measurement can also be expressed as an overlap in phase space of a special form of the Wigner function that is tailored for Helmholtz wave fields.

© 2000 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.5630) Coherence and statistical optics : Radiometry
(040.0040) Detectors : Detectors
(260.0260) Physical optics : Physical optics
(350.7420) Other areas of optics : Waves

Citation
Miguel A. Alonso, "Measurement of Helmholtz wave fields," J. Opt. Soc. Am. A 17, 1256-1264 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-7-1256

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