Exact description of free electromagnetic wave fields in terms of rays

doi:10.1364/OE.11.003128

Optics Express

Editor: Michael Duncan
Vol. 11, Iss. 23 — Nov. 17, 2003
pp: 3128–3135

Exact description of free electromagnetic wave fields in terms of rays

Miguel Alonso »View Author Affiliations

Optics Express, Vol. 11, Issue 23, pp. 3128-3135 (2003)
http://dx.doi.org/10.1364/OE.11.003128

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Abstract
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Abstract

A set of representations are proposed for vector electromagnetic waves in free space (or homogeneous media) of any state of coherence. These representations take the form of a radiance, i.e., the weight of a ray. The intensity, energy density or Poynting vector at any point correspond simply to the sum of the weights of all the rays through that point. This formalism is valid even for fields with components traveling in all directions, but without evanescent components.

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(080.0080) Geometric optics : Geometric optics
(260.2110) Physical optics : Electromagnetic optics
(350.7420) Other areas of optics : Waves

ToC Category:
Research Papers

History
Original Manuscript: October 15, 2003
Revised Manuscript: November 7, 2003
Published: November 17, 2003

Citation
Miguel Alonso, "Exact description of free electromagnetic wave fields in terms of rays," Opt. Express 11, 3128-3135 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-23-3128

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References

A.T. Friberg (volume editor), Selected Papers on Coherence and Radiometry (SPIE Optical Engineering Press, Milestone Series vol. MS69, Bellingham, 1993).
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge U. Press, New York, 1995), pp. 287�??307.
L.A. Apresyan and Yu. A Kravtsov, �??Photometry and coherence: wave aspects of the theory of radiation transport,�?? Sov. Phys. Usp. 27, 301-313 (1984). [CrossRef]
Yu. A. Kravtsov and L.A. Apresyan, �??Radiative transfer: new aspects of the old theory,�?? in Progress in Optics, E. Wolf, ed. Vol. XXXVI (North Holland, New York, 1996) pp. 179-244.
E. Wolf, �??New theory of radiative energy transfer in free electromagnetic fields,�?? Phys. Rev. D 13, 869-886 (1976). [CrossRef]
M.S. Zubairy and E. Wolf, �??Exact equations for radiative transfer of energy and momentum in free electromagnetic fields,�?? Opt. Commun. 20, 321-324 (1977). [CrossRef]
M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A. 18, 910-918 (2001). [CrossRef]
M. A. Alonso, "Radiometry and wide-angle wave fields. III. Partial coherence,�?? J. Opt. Soc. Am. A. 18, 2502-2511 (2001) [CrossRef]
One of the angle-impact Wigner functions in Ref. 4 was found independently in: C.J.R. Sheppard and K.G. Larkin, �??Wigner function for highly convergent three-dimensional wave fields,�?? Opt. Lett. 26, 968-970 (2001). [CrossRef]
L. E. Vicent and M. A. Alonso, "Generalized radiometry as a tool for the propagation of partially coherent fields,�?? Opt. Commun. 207, 101-112 (2002). [CrossRef]

J. Opt. Soc. Am. A.

M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A. 18, 910-918 (2001). [CrossRef]
M. A. Alonso, "Radiometry and wide-angle wave fields. III. Partial coherence,�?? J. Opt. Soc. Am. A. 18, 2502-2511 (2001) [CrossRef]

Opt. Commun.

M.S. Zubairy and E. Wolf, �??Exact equations for radiative transfer of energy and momentum in free electromagnetic fields,�?? Opt. Commun. 20, 321-324 (1977). [CrossRef]
L. E. Vicent and M. A. Alonso, "Generalized radiometry as a tool for the propagation of partially coherent fields,�?? Opt. Commun. 207, 101-112 (2002). [CrossRef]

Opt. Lett.

One of the angle-impact Wigner functions in Ref. 4 was found independently in: C.J.R. Sheppard and K.G. Larkin, �??Wigner function for highly convergent three-dimensional wave fields,�?? Opt. Lett. 26, 968-970 (2001). [CrossRef]

Phys. Rev. D

E. Wolf, �??New theory of radiative energy transfer in free electromagnetic fields,�?? Phys. Rev. D 13, 869-886 (1976). [CrossRef]

Progress in Optics

Yu. A. Kravtsov and L.A. Apresyan, �??Radiative transfer: new aspects of the old theory,�?? in Progress in Optics, E. Wolf, ed. Vol. XXXVI (North Holland, New York, 1996) pp. 179-244.

Sov. Phys. Usp.

L.A. Apresyan and Yu. A Kravtsov, �??Photometry and coherence: wave aspects of the theory of radiation transport,�?? Sov. Phys. Usp. 27, 301-313 (1984). [CrossRef]

Other

A.T. Friberg (volume editor), Selected Papers on Coherence and Radiometry (SPIE Optical Engineering Press, Milestone Series vol. MS69, Bellingham, 1993).
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge U. Press, New York, 1995), pp. 287�??307.

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[1] A.T. Friberg (volume editor), Selected Papers on Coherence and Radiometry (SPIE Optical Engineering Press, Milestone Series vol. MS69, Bellingham, 1993).

[2] L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge U. Press, New York, 1995), pp. 287�??307.

[3] L.A. Apresyan and Yu. A Kravtsov, �??Photometry and coherence: wave aspects of the theory of radiation transport,�?? Sov. Phys. Usp. 27, 301-313 (1984). [CrossRef]

[4] Yu. A. Kravtsov and L.A. Apresyan, �??Radiative transfer: new aspects of the old theory,�?? in Progress in Optics, E. Wolf, ed. Vol. XXXVI (North Holland, New York, 1996) pp. 179-244.

[5] E. Wolf, �??New theory of radiative energy transfer in free electromagnetic fields,�?? Phys. Rev. D 13, 869-886 (1976). [CrossRef]

[6] M.S. Zubairy and E. Wolf, �??Exact equations for radiative transfer of energy and momentum in free electromagnetic fields,�?? Opt. Commun. 20, 321-324 (1977). [CrossRef]

[7] M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A. 18, 910-918 (2001). [CrossRef]

[8] M. A. Alonso, "Radiometry and wide-angle wave fields. III. Partial coherence,�?? J. Opt. Soc. Am. A. 18, 2502-2511 (2001) [CrossRef]

[9] One of the angle-impact Wigner functions in Ref. 4 was found independently in: C.J.R. Sheppard and K.G. Larkin, �??Wigner function for highly convergent three-dimensional wave fields,�?? Opt. Lett. 26, 968-970 (2001). [CrossRef]

[10] L. E. Vicent and M. A. Alonso, "Generalized radiometry as a tool for the propagation of partially coherent fields,�?? Opt. Commun. 207, 101-112 (2002). [CrossRef]

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Exact description of free electromagnetic wave fields in terms of rays

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Abstract

References

J. Opt. Soc. Am. A.

Opt. Commun.

Opt. Lett.

Phys. Rev. D

Progress in Optics

Sov. Phys. Usp.

Other

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