A generalized surface-volume integral-equation (SVIE) approach for analysis of hybrid planar/NRD-guide integrated circuits

A generalized surface-volume integral-equation approach (SVIE) has been proposed and developed for accurate modeling and analysis of hybrid planar/nonradiating dielectric (NRD)-guide integrated circuits. On the basis of vertical modes in basis functions for NRD-guide circuits, vertical integration in space-domain is carried out analytically and a set of first-order Green´s functions is constructed. Then, the solution of the volume integral-equation concerning with the NRD-guide circuits has been reduced to a two-dimensional planar problem in connection with each vertical mode. In this way, only the diagonal submatrices need to be calculated due to the orthogonal property of different vertical modes. A reduced calculation region technique is used for handling higher order vertical modes in which the fields are confined in the slot areas and their vicinities. The method was applied to a class of different hybrid structures. The results are in good agreement with measured results or the results obtained with other methods.