The retarded potential of a non-homogeneous wave equation: introductory analysis through the Green functions
Título del documento: The retarded potential of a non-homogeneous wave equation: introductory analysis through the Green functions
Revista: Revista mexicana de física E
Base de datos: PERIÓDICA
Número de sistema: 000427310
ISSN: 1870-3542
Autores: 1
1
1
2
Instituciones: 1Centro de Investigación en Geografía y Geomática "Ing. Jorge L. Tamayo", Mérida, Yucatán. México
2Centro de Investigación en Geografía y Geomática "Ing. Jorge L. Tamayo", Ciudad de México. México
Año:
Periodo: Ene-Jun
Volumen: 64
Número: 1
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Física y astronomía,
Matemáticas
Palabras clave: Física,
Matemáticas puras,
Métodos matemáticos en física,
Matemáticas,
Teoría de la difracción,
Retrodispersión
Keyword: Radar,
Physics,
Pure mathematics,
Mathematical methods in physics,
Mathematics,
Diffraction theory,
Backscattering,
Radar
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