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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: Franco Gori
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 410–416

Phase singularities, correlation singularities, and conditions for complete destructive interference

Christopher Rosenbury, Yalong Gu, and Greg Gbur  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 410-416 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000410


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Abstract

A previously derived condition for the complete destructive interference of partially coherent light emerging from a trio of pinholes in an opaque screen is generalized to the case when the coherence properties of the field are asymmetric. It is shown by example that the interference condition is necessary, but not sufficient, and that the existence of complete destructive interference also depends on the intensity of light emerging from the pinholes and the system geometry; more general conditions for such interference are derived. The phase of the wave field exhibits both phase singularities and correlation singularities, and a number of nonintuitive situations in which complete destructive interference occurs are described and explained.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(260.3160) Physical optics : Interference
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: November 9, 2011
Manuscript Accepted: November 28, 2011
Published: March 6, 2012

Citation
Christopher Rosenbury, Yalong Gu, and Greg Gbur, "Phase singularities, correlation singularities, and conditions for complete destructive interference," J. Opt. Soc. Am. A 29, 410-416 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-410


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References

  1. M. S. Soskin and M. V. Vasnetsov, “Singular optics,” in Vol. 42 of Progress in Optics, E. Wolf, ed. (Elsevier, 2001).
  2. M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” in Vol. 53 of Progress in Optics, E. Wolf, ed. (Elsevier, 2009).
  3. G. Gbur, Mathematical Methods for Optical Physics and Engineering (Cambridge University, 2011).
  4. G. Gbur and T. D. Visser, “Coherence vortices in partially coherent beams,” Opt. Commun. 222, 117–125 (2003). [CrossRef]
  5. H. F. Schouten, G. Gbur, T. D. Visser, and E. Wolf, “Phase singularities of the coherence functions in Young’s interference pattern,” Opt. Lett. 28, 968–970 (2003). [CrossRef]
  6. I. D. Maleev, D. M. Palacios, A. S. Marathay, and G. A. Swartzlander, “Spatial correlation vortices in partially coherent light: theory,” J. Opt. Soc. Am. B 21, 1895–1900 (2004). [CrossRef]
  7. G. Gbur and T. D. Visser, “Phase singularities and coherence vortices in linear optical systems,” Opt. Commun. 259, 428–435(2006). [CrossRef]
  8. D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, “Spatial correlation singularity of a vortex field,” Phys. Rev. Lett. 92, 143905 (2004). [CrossRef]
  9. W. Wang, Z. Duan, S. G. Hanson, Y. Miyamoto, and M. Takeda, “Experimental study of coherence vortices: local properties of phase singularities in a spatial coherence function,” Phys. Rev. Lett. 96, 073902 (2006). [CrossRef]
  10. G. Gbur, T. D. Visser, and E. Wolf, “’Hidden’ singularities in partially coherent wavefields,” Pure Appl. Opt. 6, S239–S242 (2004). [CrossRef]
  11. G. V. Bogatyryova, C. V. Fel’de, P. V. Polyanskii, S. A. Ponomarenko, M. S. Soskin, and E. Wolf, “Partially coherent vortex beams with a separable phase,” Opt. Lett. 28, 878–880 (2003). [CrossRef]
  12. G. Gbur, T. D. Visser, and E. Wolf, “Complete destructive interference of partially coherent fields,” Opt. Commun. 239, 15–23 (2004). [CrossRef]
  13. D. Ambrosini, F. Gori, and D. Paoletti, “Destructive interference from three partially coherent point sources,” Opt. Commun. 254, 30–39 (2005). [CrossRef]
  14. L. Basano and P. Ottonello, “Complete destructive interference of partially coherent sources of acoustic waves,” Phys. Rev. Lett. 94, 173901 (2005). [CrossRef]
  15. E. Wolf, “Significance and measurability of the phase of a spatially coherent optical field,” Opt. Lett. 28, 5–6 (2003). [CrossRef]
  16. C. H. Gan and G. Gbur, “Phase and coherence singularities generated by the interference of partially coherent fields,” Opt. Commun. 280, 249–255 (2007). [CrossRef]
  17. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).
  18. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

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