ABSTRACT To further improve the optimization accuracy, tuning space mapping (TSM) using T‐matrix with fractional exponent is proposed for continuous parameter tuning. By applying logarithmic‐exponential operation, spectral decomposition, Schur decomposition, and singular value decomposition (SVD) algorithm, the T‐parameters of electromagnetic simulated unit circuit (ESUC) can be reconstructed with arbitrary fractional exponent, therefore continuous tuning optimization is realized. By reducing op