Fast Frequency Sweep Technique for E cient

This paper describes a new approach to spectral response computation of an arbitrary 2D waveguide. This technique is based on the Tangential Vector Finite Element Method (TVFEM) in conjunction with the Asymptotic Waveform Evaluation (AWE) technique. The former is used to obtain modes characteristics for a central frequency, whereas the latter employs an eecient algorithm to compute frequency moments for each mode. These moments are then matched via Pad e approximation to a reduced-order rational polynomial which can be used to interpolate mode over a frequency band with a high degree of accuracy. Furthermore, the moments computations and subsequent interpolation for a given set of frequency points can be done much more rapidly than just simple simulations for each frequency point.