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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 9, Iss. 8 — Aug. 1, 1992
  • pp: 1386–1393

Statistical wave-theoretical derivation of the free-space transport equation of radiometry

Ari T. Friberg, Girish S. Agarwal, John T. Foley, and Emil Wolf  »View Author Affiliations


JOSA B, Vol. 9, Issue 8, pp. 1386-1393 (1992)
http://dx.doi.org/10.1364/JOSAB.9.001386


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Abstract

We are concerned with the derivation of the free-space form of the radiative transfer equation of traditional radiometry from statistical wave theory. It is shown that this equation governs the transport of all the generalized radiance functions of a wide class, for any field that is generated by a planar, secondary, quasi-homogeneous source, in the asymptotic limit as the wave number k = 2π/λ → ∞.

© 1992 Optical Society of America

History
Original Manuscript: October 22, 1991
Revised Manuscript: February 11, 1992
Published: August 1, 1992

Citation
Ari T. Friberg, Girish S. Agarwal, John T. Foley, and Emil Wolf, "Statistical wave-theoretical derivation of the free-space transport equation of radiometry," J. Opt. Soc. Am. B 9, 1386-1393 (1992)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-9-8-1386


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References

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  2. A. Walther, J. Opt. Soc. Am. 63, 1622 (1973). [CrossRef]
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  7. E. Wolf, J. Opt. Soc. Am. 72, 343 (1982). [CrossRef]
  8. Equation (2.5) is equivalent to requiring that B(r, s, ν) obey the free-space equation of radiative transfer: s · ∇B(r, s, ν) = 0.
  9. ℬW(0)(ρ,s,ν) was introduced in Ref. 1. ℬAS(0)(ρ,s,ν) is the complex version of the generalized radiance function introduced in Ref. 2; in that paper the real part of ℬAS(0)(ρ,s,ν) was used.
  10. A. T. Friberg, “Phase-space methods for partially coherent wavefields,” in Optics in Four Dimensions—1980, M. Machado, L. M. Narducci, eds., AIP Conf. Proc.65, 313 (1981).
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  12. J. T. Foley, E. Wolf, Opt. Commun. 55, 236 (1985). [CrossRef]
  13. K. Kim, E. Wolf, J. Opt. Soc. Am. A 4, 1233 (1987). [CrossRef]
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  16. Lord Rayleigh, The Theory of Sound (reprinted by Dover, New York, 1945), Vol. II;Sec. 278 [with a modification appropriate to the time dependence exp(−2πiνt) used in the present paper].
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  19. P. A. M. Dirac, The Principles of Quantum Mechanics, 4th ed. (Clarendon, Oxford, 1958), Sec. 21.

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