Second order term effect on the dispersion characteristics of a magnetostatic delay line

This work reanalyzes the methods of calculation of the dispersion characteristics of a dispersive magnetostatic wave delay line. It turns out that the analytical approach, commonly developed in a first-order approximation, leads to erroneous results when exploited to derive the variation of the group velocity as a function of the wave vector k (or of the frequency), particularly for k values lower than 100-200 cm-1. To get a more accurate response, higher-order terms have been introduced in the analysis of the dispersion relation. To describe their effect, the inferred analytical results are compared to the numerical ones and to the experimental responses of a magnetostatic wave delay line. Furthermore, the method has been exploited to evaluate the power threshold levels (Pthr) in the excitation of magnetostatic solitons. It gives the correct order of magnitude of values when compared to the experimental ones.