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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 14, Iss. 2 — Feb. 1, 1997
  • pp: 486–490

Radiative transfer implies a modified reciprocity relation

Raphael Aronson  »View Author Affiliations

JOSA A, Vol. 14, Issue 2, pp. 486-490 (1997)

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The usual global reciprocity relations of radiative transfer do not hold for two points located in regions of different index of refraction. Modified reciprocity relations that involve the relative index are derived. The result has computational as well as theoretical consequences.

© 1997 Optical Society of America

Original Manuscript: July 2, 1996
Manuscript Accepted: September 13, 1996
Published: February 1, 1997

Raphael Aronson, "Radiative transfer implies a modified reciprocity relation," J. Opt. Soc. Am. A 14, 486-490 (1997)

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  1. See, for instance, R. L. Barbour, H. L. Graber, Y. Wang, J. Chang, R. Aronson, “A perturbation approach for optical diffusion tomography using continuous-wave and time-resolved data,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. Müller et al., eds., Vol. IS11 of Institute Series (SPIE, Bellingham, Wash., 1993), pp. 87–120; S. R. Arridge, “The forward and inverse problems in time-resolved infra-red imaging,” pp. 35–64.
  2. J. J. Duderstadt, W. R. Martin, Transport Theory (Wiley, New York, 1979), pp. 369–373.
  3. J. R. Lamarsh, Nuclear Reactor Theory (Addison-Wesley, Reading, Mass., 1966), Eq. (5–126), p. 156.
  4. K. M. Case, P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass.1967), Eq. (9), p. 27.
  5. R. Aronson, “Boundary conditions for diffusion of light,” J. Opt. Soc. Am. A 12, 2532–2539 (1995). [CrossRef]
  6. M. Born, E. Wolf, Principles of Optics, 2nd rev. ed. (Pergamon, New York, 1964).
  7. G. Pomraning, The Equations of Radiation Hydrodynamics (Pergamon, Oxford, 1973), Chap. 5, pp. 144–153. The final result is contained in Eq. (5.67).

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