Asymptotic behaviour of the solution of a time-dependent boundary-value problem for the system of equations of the method of spherical harmonics

1989 ◽  
Vol 29 (1) ◽  
pp. 204-207
Author(s):  
G.K. Kaishibayeva ◽  
U.M. Sultangazin

The so-called Harmuth ansatz consists of including autonomous magnetic sources in the time-dependent Maxwell postulates. The Beltrami fields are eigenfunctions of the curl operator, and have been used by Moses for propagation in infinite media. These developments are of relatively recent provenances in electromagnetic theory. We discuss an initial-boundary value problem (IBVP) within the framework of a manifestly covariant electromagnetic formalism by using the Harmuth ansatz. We also show how a covariant formulation of the Beltrami-Moses fields may be used for solving electromagnetic IBVPS.


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