Abstract: Some computing techniques of the unimoment method for solving electromagnetic scattering problems of a dielectric cylinder with arbitrary cross section are investigated. Rieatti transformation is used in solving the set of linear equations for finding the internal fields inside the mathematical circle and its computer program is realized. With the exam-ple of a rectangular cylinder, automatic generation of finite element mesh realizing Ricatti transformation is illustrated. It is seen that by using the above techniques and methods, effects in saving the memory capacity and the computing time of the computer and in simplifying the previous procedure of the finite element method are obvious; and also the convenience for the formation of a universal computer program is provided.