Calculation of the electrical potentials produced by the current dipole
in elliptical conducting cylinder of finite length
Strelkov, M. N. Kramm
National Research University "Moscow Power Engineering Institute"
Received November 9, 2012
The aim of this work is the
realization of the analytical method of calculation of electrical potentials, produced by the
current dipole in elliptical conducting cylinder of finite length. The need for
such a method is associated with the calculation of the potentials on the
surface of the chest in the direct problems of cardiology in the quasi-static
approximation. The work deals with the analytical method for calculation of electric
potential, based on the expansion of potential in double series with respect to
the angular and radial variations by using the Mathieu functions. Method of
calculation and normalization of Mathieu functions is proposed. The question of
choosing the number of the members of the summation of double series is considered.
The proposed formulas checked by comparison with the results obtained by
numerical methods and other authors. The distributions of surface potentials
for a circular cylinder (series
with Bessel functions) and for elliptic cylinder with a small eccentricity
distribution of the
potential, conducting body, the dipole current source, the direct problem,
elliptical cylinder, periodic and modified Mathieu functions.