Tuning space mapping (TSM) with tuning exponent parameter of T-matrix is proposed. A section of design interest in the electromagnetic (EM) model is replaced by “n” pieces cascaded T-matrixes, and each T-matrix is the EM-simulated T-parameter of preassigned unit cell circuit (PUCC). Finally the optimal exponent parameter of T-matrix is transferred to original design variables. The proposed TSM not only inherits the advantages of circuit tuning element-less (CTEL) TSM in prior art but also overcome the number range limitation that the tuning parameter must be positive for tuning in CTEL TSM. The proposed method has the minimal specification error and lowest simulation time comparing with other TSM methods. Verification examples, comparisons and discussions are also implemented. © 2015 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2015.
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