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

  • Editor: Franco Gori
  • Vol. 29, Iss. 7 — Jul. 1, 2012
  • pp: 1421–1426

Degree of coherence in curvilinear coordinates and its application to scattering

Zhisong Tong  »View Author Affiliations


JOSA A, Vol. 29, Issue 7, pp. 1421-1426 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001421


View Full Text Article

Enhanced HTML    Acrobat PDF (320 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In the traditional treatment of the spectral degree of coherence, the Cartesian coordinate system is deployed to describe the electromagnetic field. In the description of the far field scattered from random media, however, the spherical polar coordinates system is more suitably used due to the field’s outgoing spherical form. We hence derive the expression for the spectral degree of coherence in the spherical polar coordinates system. An example of one polychromatic plane wave scattered by a collection of identical particles is given.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(290.0290) Scattering : Scattering

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: February 10, 2012
Revised Manuscript: May 10, 2012
Manuscript Accepted: May 14, 2012
Published: June 26, 2012

Citation
Zhisong Tong, "Degree of coherence in curvilinear coordinates and its application to scattering," J. Opt. Soc. Am. A 29, 1421-1426 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-7-1421


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Wolf, “Unified theory of coherence and polarization of random electromagnetic beams,” Phys. Lett. A 312, 263–267 (2003). [CrossRef]
  2. E. Wolf, “Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation,” Opt. Lett. 28, 1078–1080 (2003). [CrossRef]
  3. H. Roychowdhury and E. Wolf, “Determination of the electric cross-spectral density matrix of a random electromagnetic beam,” Opt. Commun. 226, 57–60 (2003). [CrossRef]
  4. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).
  5. O. Korotkova and E. Wolf, “Spectral degree of coherence of a random three-dimensional electromagnetic field,” J. Opt. Soc. Am. A 21, 2382–2385 (2004). [CrossRef]
  6. Z. Tong and O. Korotkova, “Theory of weak scattering of stochastic electromagnetic fields from deterministic and random media,” Phys. Rev. A 82, 033836 (2010). [CrossRef]
  7. J. Tervo, T. Setala, and A. T. Friberg, “Degree of coherence for electromagnetic fields,” Opt. Express 11, 1137–1143 (2003). [CrossRef]
  8. T. Setala, J. Tervo, and A. T. Friberg, “Complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 328–330 (2004). [CrossRef]
  9. T. Setala, K. Blomstedt, M. Kaivola, and A. T. Friberg, “Universality of electromagnetic-field correlations within homogeneous and isotropic sources,” Phys. Rev. E 67, 026613 (2003). [CrossRef]
  10. T. Jouttenus, T. Setala, M. Kaivola, and A. T. Friberg, “Connection between electric and magnetic coherence in free electromagnetic fields,” Phys. Rev. E 72, 046611 (2005). [CrossRef]
  11. E. Wolf, “Comment on complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 1712 (2004). [CrossRef]
  12. T. Setala, J. Tervo, and A. T. Friberg, “Reply to comment on complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 1713–1714 (2004). [CrossRef]
  13. Y. Dong, Y. Cai, C. Zhao, and M. Yao, “Statistics properties of a cylindrical vector partially coherent beam,” Opt. Express 19, 5979–5992 (2011). [CrossRef]
  14. O. Korotkova and E. Wolf, “Scattering matrix theory for stochastic scalar fields,” Phys. Rev. E 75, 056609 (2007). [CrossRef]
  15. T. Wang and D. Zhao, “Determination of pair-structure factor of scattering potential of a collection of particles,” Opt. Lett. 35, 318–320 (2010). [CrossRef]
  16. S. Serkan and O. Korotkova, “Effect of the pair-structure factor of a particulate medium on scalar wave scattering in the first Born approximation,” Opt. Lett. 34, 1762–1764 (2009). [CrossRef]
  17. T. Wang and D. Zhao, “Scattering theory of stochastic electromagnetic light waves,” Opt. Lett. 35, 2412–2414 (2010). [CrossRef]
  18. G. Arfken and H. J. Weber, Mathematical Methods for physicists (Academic, 2001).

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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited