Retraction Note: Exact analytical solution of the problem of two dielectric spheres in the uniform electrostatic field

Abstract

In this paper, the exact analytical solution is derived in bispherical coordinates for the field due to two equal dielectric spheres, when this system is inclined at an arbitrary angle to a uniform electrostatic field. The method is based on the solution of a second order, inhomogeneous, linear difference equation using recurrence relations. Our procedure for solving this difference equation is straightforward, and analogous to the solution of second-order inhomogeneous linear ordinary differential equations in terms of Green's functions. The dipole moment of this system is evaluated as a function of separation. The numerical results obtained for the dipole moment of the system are shown in graphical form.