OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 25, Iss. 12 — Dec. 1, 2008
  • pp: 2893–2895

Broadband electromagnetic scattering by particles

Michael I. Mishchenko  »View Author Affiliations


JOSA A, Vol. 25, Issue 12, pp. 2893-2895 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002893


View Full Text Article

Enhanced HTML    Acrobat PDF (64 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The so-called sum rule for the extinction cross section has been the subject of several publications. However, it has not been obtained directly from the macroscopic Maxwell equations but rather follows from heuristic causality considerations. It is argued that these causality considerations are, in fact, questionable and do not follow from the fundamental concept of electromagnetic scattering by a particle. Therefore, the resulting sum rule should be considered an unproven hypothesis rather than an outcome of a rigorous derivation from first principles.

© 2008 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: July 17, 2008
Manuscript Accepted: September 18, 2008
Published: November 4, 2008

Citation
Michael I. Mishchenko, "Broadband electromagnetic scattering by particles," J. Opt. Soc. Am. A 25, 2893-2895 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-12-2893


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. M. Purcell, “On the absorption and emission of light by interstellar grains,” Astrophys. J. 158, 433-440 (1969). [CrossRef]
  2. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  3. C. Sohl, M. Gustafsson, and G. Kristensson, “Physical limitations on broadband scattering by heterogeneous obstacles,” J. Phys. A 40, 11165-11182 (2007). [CrossRef]
  4. C. Sohl, M. Gustafsson, and G. Kristensson, “Physical limitations on metamaterials: restrictions on scattering and absorption over a frequency interval,” J. Phys. D 40, 7146-7151 (2007). [CrossRef]
  5. N. G. van Kampen, “S-matrix and causality conditions. I. Maxwell field,” Phys. Rev. 89, 1072-1079 (1953). [CrossRef]
  6. B. H. J. McKellar, M. A. Box, and C. F. Bohren, “Sum rules for optical scattering amplitudes,” J. Opt. Soc. Am. 72, 535-538 (1982). [CrossRef]
  7. J. C. Ku and J. D. Felske, “Determination of refractive indices of Mie scatterers from Kramers-Kronig analysis of spectral extinction data,” J. Opt. Soc. Am. A 3, 617-623 (1986). [CrossRef]
  8. M. A. Box, P. Attard, G. Bryant, and B. H. J. McKellar, “Sum rules for Mie scattering,” J. Opt. Soc. Am. A 4, 795-799 (1987). [CrossRef]
  9. Z.-F. Xing and J. M. Greenberg, “An efficient method for the calculation of mean extinction. I. The analyticity of the complex extinction efficiency of homogeneous spheres,” Astrophys. J. 399, 164-175 (1992). [CrossRef]
  10. A. J. Sievers, “Extinction sum rule and optical moment for an ellispsoidal particle of arbitrary size,” Opt. Commun. 109, 71-74 (1994). [CrossRef]
  11. R. Lai and A. J. Sievers, “Mie computational test of the extinction cross-section sum rules and optical moments for large dielectric spheres and shells,” Opt. Commun. 116, 72-76 (1995). [CrossRef]
  12. R. Lai and A. J. Sievers, “Sum rules and optical moments for a coarse scattering medium,” J. Opt. Soc. Am. A 13, 1036-1045 (1996). [CrossRef]
  13. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
  14. E. J. Rothwell and M. J. Cloud, Electromagnetics (CRC, 2001). [CrossRef]
  15. V. Twersky, “On propagation in random media of discrete scatterers,” Proc. Symp. Appl. Math. 16, 84-116 (1964).
  16. A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE, 1997).
  17. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering (Cambridge U. Press, 2006).
  18. R. Pike and P. Sabatier, Scattering: Scattering and Inverse Scattering in Pure and Applied Mathematics (Academic, 2002), p. xi.
  19. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of light by Small Particles (Cambridge U. Press, 2002) (available in the PDF format at http://www.giss.nasa.gov/~crmim/books.html).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited