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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 15 — May. 20, 1999
  • pp: 3196–3198

Reciprocity principle applicable to reflected radiance measurements and the searchlight problem

Larry Di Girolamo  »View Author Affiliations


Applied Optics, Vol. 38, Issue 15, pp. 3196-3198 (1999)
http://dx.doi.org/10.1364/AO.38.003196


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Abstract

In a recent paper by Di Girolamo et al. [J. Geophys. Res. D 103, 8795 (1998)] a heuristic argument was used to derive a reciprocity principle applicable to reflected solar radiation measurements. Here a formal derivation of this reciprocity principle is presented. It is also demonstrated that a purely spatial reciprocal relationship exists between one-dimensional radiative transfer theory and the three-dimensional searchlight problem for horizontally homogeneous media.

© 1999 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(290.5820) Scattering : Scattering measurements

History
Original Manuscript: November 6, 1998
Revised Manuscript: March 8, 1999
Published: May 20, 1999

Citation
Larry Di Girolamo, "Reciprocity principle applicable to reflected radiance measurements and the searchlight problem," Appl. Opt. 38, 3196-3198 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-15-3196


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References

  1. L. Di Girolamo, T. Várnai, R. Davies, “Apparent breakdown of reciprocity in reflected solar radiances,” J. Geophys. Res. D 103, 8795–8803 (1998). [CrossRef]
  2. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  3. K. M. Case, “Transfer problems and the reciprocity principle,” Rev. Mod. Phys. 29, 651–663 (1957). [CrossRef]
  4. R. Aronson, “Radiative transfer implies a modified reciprocity relation,” J. Opt. Soc. Am. A 14, 486–490 (1997). [CrossRef]
  5. H. Yang, H. G. Gordon, “Remote sensing of ocean color: assessment of water-leaving radiance bidirectional effects on atmospheric diffuse transmittance,” Appl. Opt. 36, 7887–7897 (1997). [CrossRef]
  6. R. Davies, “Spatial autocorrelation of radiation measured by the Earth Radiation Budget Experiment: scene inhomogeneity and reciprocity violation,” J. Geophys. Res. D 99, 20,879–20,887 (1994). [CrossRef]
  7. H. von Helmholtz, “Theorie der Luftschwingungen in Rohren mit offenen Enden,” Crelle LVII, 1 (1859).
  8. D. E. Kornreich, B. D. Ganapol, “Numerical evaluation of the three-dimensional searchlight problem in half-space,” Nucl. Sci. Eng. 127, 317–337 (1997).
  9. A. B. Davis, R. F. Cahalan, J. D. Spinhirne, M. J. McGill, S. P. Love, “Off-beam lidar: an emerging technique in cloud remote sensing based on radiative Green-function theory in the diffusion domain,” Phys. Chem. Earth B. 24(3), 177–185 (1999). [CrossRef]

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