Hilbert and Blaschke phases in the temporal coherence function of stationary broadband light.
We show that the minimal phase of the temporal coherence function gamma (tau) 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 microm 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.
Fernández-Pousa
Carlos R
CR
Signal Theory and Communications, Department of Physics and Computer Science, Universidad Miguel Hernández, Elche, Alicante, Spain. c.pousa@umh.es
Maestre
Haroldo
H
Torregrosa
Adrián J
AJ
Capmany
Juan
J