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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 22 — Oct. 27, 2008
  • pp: 18397–18405

Hilbert and Blaschke phases in the temporal coherence function of stationary broadband light

Carlos R. Fernández-Pousa, Haroldo Maestre, Adrián J. Torregrosa, and Juan Capmany  »View Author Affiliations

Optics Express, Vol. 16, Issue 22, pp. 18397-18405 (2008)

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We show that the minimal phase of the temporal coherence function γ(τ) of stationary light having a partially-coherent symmetric spectral peak can be computed as a relative logarithmic Hilbert transform of its amplitude with respect to its asymptotic behavior. The procedure is applied to experimental data from amplified spontaneous emission broadband sources in the 1.55 µm band with subpicosecond coherence times, providing examples of degrees of coherence with both minimal and non-minimal phase. In the latter case, the Blaschke phase is retrieved and the position of the Blaschke zeros determined.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(100.5070) Image processing : Phase retrieval
(060.5625) Fiber optics and optical communications : Radio frequency photonics

ToC Category:
Coherence and Statistical Optics

Original Manuscript: July 14, 2008
Revised Manuscript: September 28, 2008
Manuscript Accepted: October 16, 2008
Published: October 24, 2008

Carlos R. Fernández-Pousa, Haroldo Maestre, Adrian J. Torregrosa, and Juan Capmany, "Hilbert and Blaschke phases in the temporal coherence function of stationary broadband light," Opt. Express 16, 18397-18405 (2008)

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