Abstract
In electromagnetic theory a wide variety of important problems can be treated in spherical coordinates using multipole expansions. It is also reasonable to expect that these expansions would provide a useful formalism for the solution of problems in statistical electromagnetic theory. The main theme of this chapter is the extension of multipole expansions into the realm of correlation theory. In the initial sections of this chapter, we present the basic elements of the Debye potentials [1], including a detailed discussion of uniqueness. This formulation of the Debye potentials follows the presentation in the literature by Bouwkamp and Casimir [2] as well as that in the treatise by Papas [3]. The elegant formalisms of vector spherical harmonics and dyads are also employed [4]. While this use of vector spherical harmonics and dyads requires some patience in becoming accustomed to the notation [5], we believe that it is particularly worthwhile in several instances.
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George, N., Gamliel, A. (1990). Correlation Theory of Electromagnetic Ridiation Using Multipole Expansions. In: Kritikos, H.N., Jaggard, D.L. (eds) Recent Advances in Electromagnetic Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3330-5_5
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DOI: https://doi.org/10.1007/978-1-4612-3330-5_5
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