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Since you're simulating UWB antenna you need results for a large number of frecuencies so you should use a time domain method like FDTD which generates results for many frecuencies at the same time.
AWE is the Asymptotic Waveform Evaluation method. It expands the matrix elements in a Taylor series with respect to frequency to evaluate the derivative of the Z matrix with respect frequency. The derivatives you have the greater the bandwith of your approximation.
Almost every frequency domain comercial solver uses some variation of this method to compute a frequency sweep. For instance ALPS is essentialy the same but a Pade expansion instead of a Taylor series. Computing every frequency point is very wasteful.
I think cst microwave studio which is based on finite integration method is better that xfdtd. The former can mesh the structure in nonuniform way which can save a lot of computer resource and time with the same accuracy with that using xfdtd.
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