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Optics Letters

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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 13 — Jul. 1, 2014
  • pp: 3993–3996

Using holography to measure extinction

Matthew J. Berg, Nava R. Subedi, Peter A. Anderson, and Nicholas B. Fowler  »View Author Affiliations


Optics Letters, Vol. 39, Issue 13, pp. 3993-3996 (2014)
http://dx.doi.org/10.1364/OL.39.003993


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Abstract

This work presents a new concept to measure the extinction cross section for a single particle in situ. The concept involves recording the hologram produced by the interference of a particle’s forward-scattered light with the incident light. This interference pattern is fundamentally connected to the energy flow that gives rise to extinction, and, by integrating this measured pattern, one obtains an approximation for the cross section. Mie theory is used to show that this approximation can be as little as 1% in error of the true value for many cases of practical interest. Moreover, since an image of the particle can be computationally reconstructed from a measured hologram using the Fresnel–Kirchhoff diffraction theory, one can obtain the cross section simultaneously with the particle shape and size.

© 2014 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(290.1090) Scattering : Aerosol and cloud effects
(290.2200) Scattering : Extinction
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: May 8, 2014
Manuscript Accepted: May 21, 2014
Published: June 30, 2014

Citation
Matthew J. Berg, Nava R. Subedi, Peter A. Anderson, and Nicholas B. Fowler, "Using holography to measure extinction," Opt. Lett. 39, 3993-3996 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-13-3993


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References

  1. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1957).
  2. C. F. Borhen and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  3. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).
  4. M. J. Berg, C. M. Sorensen, and A. Chakrabarti, J. Opt. Soc. Am. A 25, 1504 (2008). [CrossRef]
  5. M. I. Mishchenko, M. J. Berg, C. M. Sorensen, and C. V. M. van der Mee, J. Quant. Spectrosc. Radiat. Transfer 110, 323 (2009). [CrossRef]
  6. T. Kreis, Handbook of Holographic Interferometry; Optical and Digital Methods (Wiley, 2005).
  7. M. J. Berg and G. Videen, J. Quant. Spectrosc. Radiat. Transfer 112, 1776 (2011). [CrossRef]
  8. M. J. Berg, C. M. Sorensen, and A. Chakrabarti, J. Opt. Soc. Am. A 25, 1514 (2008). [CrossRef]

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