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Optics Letters

Optics Letters


  • 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)

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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

Sergey A. Ponomarenko and Emil Wolf, "Light beams with minimum phase space product," Opt. Lett. 25, 663-665 (2000)

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  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).
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  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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