Abstract

TELLEZ-QUINONES, A.; VALDIVIEZO-NAVARRO, J.C.; SALAZAR-GARIBAY, A.  and  LOPEZ-CALOCA, A.A.. The retarded potential of a non-homogeneous wave equation: introductory analysis through the Green functions. Rev. mex. fís. E [online]. 2018, vol.64, n.1, pp.26-38. ISSN 1870-3542.

The retarded potential, a solution of the non-homogeneous wave equation, is a subject of particular interest in many physics and engineering applications. Examples of such applications may be the problem of solving the wave equation involved in the emission and reception of a signal in a synthetic aperture radar (SAR), scattering and backscattering, and general electrodynamics for media free of magnetic charges. However, the construction of this potential solution is based on the theory of distributions, a topic that requires special care and time to be understood with mathematical rigor. Thus, the goal of this study is to provide an introductory analysis, with a medium level of formalism, on the construction of this potential solution and the handling of Green functions represented by sequences of well-behaved approximating functions.

Keywords : Mathematical methods in physics; mathematics; diffraction theory; backscattering; radar.

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