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3a. We often consider the propagation of an electromagnetic wave in an absorbing medium characterized by the complex dielectric constant: E = E, -ie. Is it necessary that the propagation constant k will also be complex? If so, find the real and imaginary parts of k. b. In a metal, the conductivity is approximated by: o(o)= Nq m(y +10) where N represents the number of free electrons per unit volume, q is the electronic charge, m is the electronic mass and ye is the collision frequency. Assuming u = land &
Ng V mes = Bo obtain an expression for n in terms of aand 0, where , as Plasma frequency) for high frequencies (o>>7.) (This is known