Two reflector non-symmetric shaped antenna systems

Two reflector antenna systems with non-symmetric reflecting surfaces under GO approximation are investigated. It is shown, that the problem of forming a desired far field pattern leads to solving the system of partial differential equations with respect to mapping functions between wave fronts. One of these equations is nonlinear and expresses the energy conversation law. It is shown that this equation can be solved separately in the class of non-smooth functions which has a discontinuity of the first kind along a given curve.