This paper studies propagation of non-stationary axially symmetrical kinematic or
electromagnetic disturbances applied on the surface of a ball. To this end, linear equations of
motion of an elastic ball together with Maxwell equations are used as well as linearized
generalized Ohm law and Lorentz force equation. The required functions are expanded in
series in terms of Legendre and Gegenbauer polynomials. Laplace integral time
transformation and expansion of coefficients of series into power series in small parameter
linking mechanical and electromagnetic properties of the medium enabled finding recurrent
sequence of boundary value problems with respect to components of mechanical and
electromagnetic fields. The solution of each problem is represented in the form of generalized
convolution of functions corresponding to previous members of the recurrent sequence with
Green functions.
Keywords: Green functions, electromagnetic disturbances, linear equations of motion of elastic ball, Ohm law |
full paper (pdf, 800 Kb)