The Form of the General Unimodular Analytic Signal

Finding the most general unimodular analytic signal is shown to be equivalent to solving a singular integral equation of the Carleman type. This equation is solved utilizing the properties of analytic functions.

[1]  E. Wolf.  A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary width , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[3]  K. Knopp.  Theory of Functions , 1958 .