  We present a detailed thermal and electrical model of superconducting
transition edge sensors (TESs) connected to quasiparticle (qp) traps, such as
the W TESs connected to Al qp traps used for CDMS (Cryogenic Dark Matter
Search) Ge and Si detectors. We show that this improved model, together with a
straightforward time-domain optimal filter, can be used to analyze pulses well
into the nonlinear saturation region and reconstruct absorbed energies with
optimal energy resolution.
