Exact solutions for electromagnetic fields inside and outside a spherical surface with magnetic/electric dipole distributed sources
Document title: Exact solutions for electromagnetic fields inside and outside a spherical surface with magnetic/electric dipole distributed sources
Journal: Revista mexicana de física E
Database: PERIÓDICA
System number: 000431220
ISSN: 1870-3542
Authors: 1
2
3
Institutions: 1Universidad Nacional Autónoma de México, Instituto de Física, Ciudad de México. México
2University of Cambridge, Center for Mathematical Sciences, Cambridge, Cambridgeshire. Reino Unido
3Universidad Nacional Autónoma de México, Facultad de Ciencias, Ciudad de México. México
Year:
Season: Jul-Dic
Volumen: 64
Number: 2
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Exact solutions of the Maxwell equations for the electromagnetic fields inside and outside a spherical surface, with time alternating magnetic or electric dipole source distributions, are constructed as alternatives to the respective familiar point-dipole solutions in undergraduate and graduate books. These solutions are valid for all positions, inside and outside the sphere, including the quasi-static, induction and radiation zones; the solutions inside make the difference from the point-dipole solutions; the definitions of the dynamic dipole moments must be based on the ordinary spherical Bessel functions for the solutions outside, and on the outgoing spherical Hankel functions for the solutions inside, instead of the powers of the radial coordinate as solutions of the Laplace equation valid for the static case. The solutions for the resonating cavities are associated with the nodes of the spherical Bessel function for the TE modes of the magnetic dipole source, and with the extremes of the product of the radial coordinate times the same spherical function for the TM modes of the electric dipole source; both conditions also guarantee the vanishing of the fields outside
Disciplines: Física y astronomía
Keyword: Física,
Ecuaciones de Maxwell,
Fuentes dipolo eléctricas y magnéticas,
Potenciales y campos de fuerza,
Soluciones exactas,
Ecuación de Hemholtz,
Condición límite
Keyword: Maxwell equations,
Electric and magnetic dipole sources,
Potentials and force fields,
Exact solutions,
Helmholtz equation,
Boundary condition
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