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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 4 — Apr. 1, 2001
  • pp: 831–838

Radiative properties of small particles: extension of the Penndorf model

Miguel Caldas and Viriato Semião  »View Author Affiliations


JOSA A, Vol. 18, Issue 4, pp. 831-838 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000831


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Abstract

Explicit analytical expressions to represent the radiative properties of spherical particles in the small size-parameter range were obtained. These expressions were deduced following Penndorf’s approach of expanding the Mie coefficients in power series on the size parameter. However, in opposition to Penndorf’s original work—in which some errors were found and corrected—the Mie coefficients were expanded to the eighth power of the size parameter, which results in a five-term approximation to the extinction and scattering efficiencies. Also, expressions for the evaluation of the asymmetry factor and both polarized and unpolarized phase functions were deduced and presented. The results so obtained have proved to be very accurate, even for size parameters beyond the limit of validity of the approach utilized.

© 2001 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.5430) Physical optics : Polarization
(290.2200) Scattering : Extinction
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles
(290.5870) Scattering : Scattering, Rayleigh

History
Original Manuscript: May 2, 2000
Revised Manuscript: September 22, 2000
Manuscript Accepted: October 9, 2000
Published: April 1, 2001

Citation
Miguel Caldas and Viriato Semião, "Radiative properties of small particles: extension of the Penndorf model," J. Opt. Soc. Am. A 18, 831-838 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-4-831


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References

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