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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

  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2682–2690

Theory of partial coherence for weakly periodic media

Bernhard J. Hoenders and Mario Bertolotti  »View Author Affiliations


JOSA A, Vol. 22, Issue 12, pp. 2682-2690 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002682


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Abstract

The second-order theory of partial coherence for scalar and TE or TM fields is developed for weakly periodic media, and the van Cittert-Zernike theorem of classical coherence theory is generalized for such media. The coherence properties of a wave field, generated by a quasi-homogeneous source distribution at the entrance plane of a finite weakly periodic medium, are calculated both inside such a structure and in the far field. The second-order theory of partial coherence for pulse propagation through weakly periodic media is also developed.

© 2005 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.5770) Coherence and statistical optics : Roughness
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(290.5880) Scattering : Scattering, rough surfaces
(350.5500) Other areas of optics : Propagation

ToC Category:
Coherence and Statistical Optics

Citation
Bernhard J. Hoenders and Mario Bertolotti, "Theory of partial coherence for weakly periodic media," J. Opt. Soc. Am. A 22, 2682-2690 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-12-2682


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References

  1. M. Born and E. Wolf, Principles of Optics, 5th ed. (Pergamon, 1975).
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).
  3. E. Wolf, "Spatial coherence of resonant modes in a maser interferometer," Phys. Lett. 3, 166-168 (1963).
  4. W. Streifer, "Spatial coherence in periodic systems," J. Opt. Soc. Am. 56, 1481-1489 (1966).
  5. R. Becker, Theorie der Elektriztät (B.G. Teubner, 1969), Vol. 3, Chap. A2, p. 35.
  6. E. C. Titchmarsh, Eigenfunction Expansions (Oxford U. Press, Oxford, 1958), Vol. 2.
  7. B. J. Hoenders and D. N. Pattanayak, "Interaction of a moving charged particle with a spatially dispersive medium. I. Structure of the electromagnetic field," Phys. Rev. D 13, 282-290 (1976).
  8. B. J. Hoenders and D. N. Pattanayak, "Interaction of a moving charged particle with a spatially dispersive medium. II. Cerenkov and transition radiation," Phys. Rev. D 13, 291-298 (1976).
  9. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995), Chaps. 1-9, pp. 1-436.
  10. P. H. van Cittert, "Die wahrscheinliche Schwingungsverteilung in einer von einer Lichtquelle direkt oder mittels einer Linse beleuchteten Ebene," Physica (Amsterdam) 1, 201-210 (1934).
  11. F. Zernike, "The concept of degree of coherence and its applications to optical problems," Physica (Amsterdam) 5, 785-795 (1938).
  12. P. Yeh, A. Yariv, and C.-S. Hong, "Electromagnetic propagation in periodic stratified media. 1. General theory," J. Opt. Soc. Am. 67, 423-438 (1977).
  13. P. Yeh, Optical Waves in Layered Media, Wiley Series in Pure and Applied Optics (Wiley, 1988).

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