SYNTHESIS OF MULTI-STEP COPLANAR WAVEGUIDE- TO-MICROSTRIP TRANSITION

A synthesis procedure is developed in this paper for the design of N-step coplanar waveguide-to-microstrip transitions. An equivalent circuit approach is adopted to model the structure in terms of N cascaded ABCD matrices relative to the N coplanar waveguide sections forming the transition. A constrained optimization problem is formulated as the minimum ¯nding of a proper functional to accurately determine the transition dimensions by imposing an upper bound to the return loss within a prescribed frequency band. An iterative N- step procedure is developed to ¯nd the optimization problem solution. Numerical results on millimeter-wave transition con¯gurations are provided to demonstrate the e®ectiveness of the proposed synthesis method. A back-to-back transition prototype with N = 3 sections is then fabricated and characterized in terms of measured S-parameters to experimentally demonstrate a return loss better than 10 dB in the frequency range from 1 GHz up to 40 GHz.