https://doi.org/10.1007/s100510070081
Electromagnetic fields produced by sources on a spherical wavefront
Institute of Physics, St. Petersburg University, Ulyanovskaya 1, Petrodvorets, St. Petersburg
198904, Russia
Received:
28
July
1999
Published online: 15 November 2000
Transient solutions of the inhomogeneous Maxwell equations are obtained. The specific current source belongs to the spherical surface expanding with the velocity of light. Representations of the electromagnetic field components in the spherical coordinates in terms of the Fourier series are found. The obtained solutions are correct near the wavefront. The general expressions are applied to a description of electromagnetic waves produced by different sources and to a discussion of formation of directional waves and the family of relatively undistorted waves.
PACS: 41.20.Jb – Electromagnetic wave propagation; radiowave propagation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000