Optimal designs for nonuniform LCRG transmission lines

The optimal design of a nonuniform LCRG line connecting a supply line and a load is considered. An optimization method is used to achieve three particular designs, namely, design of filters, design of impedance matching sections, and design of impedance-matched voltage transformers. By introducing two auxiliary functions, the gradient of the objective functional is found as an explicit expression. Numerical results show that satisfactory designs can be achieved by the present algorithm.