METHOD FOR SOLUTION OF MAXWELLS EQUATIONS IN NONUNIFORM MEDIA

It is shown that the L(2) norm of electric currents induced in a dissi pative medium can never exceed the norm of the external currents. This allows the construction of a simple iteration method to solve the Max well's equations. The method produces a series converging to the solut ion for an arbitrary conductivity distribution and arbitrary frequency of field variations. The convergence is slow if the lateral contrast of the conductivity distribution is about 10(4) or higher. A modificat ion significantly improving the convergence is described in this paper . As an example, electromagnetic fields induced in the model (includin g the western part of the Northern American continent and the adjacent part of the Pacific Ocean) are calculated.