Abstract
The paper puts forward the usefulness of the theory of generalized analytic functions (or pseudoanalytic functions), for describing the phenomena of light propagation and scattering of light. To this aim the main points of the theory are outlined and the generalized Cauchy integral formula is established. It is seen that this formula represents in the complex plane associated with the propagation plane the mathematical form of Huygens' principle as given by the Helmholtz-Kirchhoff integral for cylindrical waves. Further dispersion relations between the unknown phase and the logarithm of the intensity, (amplitude), are derived at any plane of propagation. In this way, this formalism is presented as an attempt of conceptually unifying the different approaches describing light information transmission.
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