A contribution to the theory of electromagnetic induction of a line source

On numerical evaluation of integrals involving Bessel functions

“…A similar problem to evaluate the integral r oo (1.2) f(x) exp (irx) dx , r = r 0 , ..., r,, or the integrals í: f(x) cos rx áx and f(x) sin rx dx , is often met in computational practice. For example, the computation of the quantities of electromagnetic field in the homogeneous or layered Earth at depth r in the presence of a harmonic line source can be performed as the evaluation of (1.2) with a particular decreasing function f [4]. Many numerical procedures for the solution of this problem have been proposed and analysed (see e.g.…”