Explicit Formulas for Solutions Of Maxwell's Equations in Conducting Media

A new explicit presentation of the fundamental solution of the time-dependent Maxwell's equations in conducting isotropic media is derived by Hadamard techniques through the fundamental solution of the telegraph operator. This presentation is used to obtain explicit formulas for generalized solutions of the initial value problem for Maxwell's equations. A new explicit Kirchhoff's formula for the classical solution of the initial value problem for the Maxwell equations in conducting media is derived. The obtained explicit formulas can be used in the boundary integral method, Green's functions method and for computation of electric and magnetic fields in conducting media and materials.