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Optics Letters

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  • Vol. 25, Iss. 9 — May. 1, 2000
  • pp: 663–665

Light beams with minimum phase space product

Sergey A. Ponomarenko and Emil Wolf  »View Author Affiliations


Optics Letters, Vol. 25, Issue 9, pp. 663-665 (2000)
http://dx.doi.org/10.1364/OL.25.000663


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Abstract

We derive a reciprocity inequality involving the product of the effective size of a statistically stationary, planar, secondary source of any state of coherence and of the angular spread of the far-zone intensity generated by the source. We show that of all possible such sources, the fully spatially coherent lowest-order Hermite–Gaussian laser mode has the smallest possible reciprocity product.

© 2000 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence

Citation
Sergey A. Ponomarenko and Emil Wolf, "Light beams with minimum phase space product," Opt. Lett. 25, 663-665 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-9-663


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), Chap. 4.
  2. E. Colett and E. Wolf, Opt. Lett. 2, 26 (1978).
  3. A. T. Friberg and E. Wolf, Opt. Acta 30, 1417 (1983).
  4. E. Wolf, J. Opt. Soc. Am. 72, 343 (1982).
  5. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  6. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), Vol. 1, pp. 133–134.
  7. This is because for the field distribution (20) the modu-lus of the spectral degree of coherence |μ0(ρ, ρ, ω)|, defined as |μ0 (r, r , w)|≡| W0(r, r, w) W0(r, r,w)W 0(r, r, w) | is equal to unity.

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