One-dimensional Inverse Problems in Electrodynamics

In this chapter we consider some inverse problems for the Maxwell equations. Here H = (H1, H2, H3) and E = (E1, E2, E3) are vectors of electric and magnetic strengths, e > 0, μ > 0 and σ are the permittivity, permeability and conductivity coefficients, respectively, which define electro-dynamical parameters of a medium. The function j = j(x, t) is the external current source which generates the electromagnetic waves.