“…The i -DMI energy density can be determined either by modeling the full spin-wave frequency vs. wave-vector dispersion with a modified dispersion relation for DE spin waves by introducing the DMI term or from the frequency difference ( Δf ) between spin-waves with opposite (+ k and − k ) wave-vectors, which is given by 37 ,Where, is the frequency difference, k x is the x -component of the wave vector, is the gyromagnetic ratio, D is the i -DMI energy density and M s is the saturation magnetization. In our case, we have chosen the latter method for determining D , as the estimation of D here is primarily determined by the experimentally measured quantities Δ f , k x and M s (=1000 ± 50 kA/m is used for thick films 44 ). Figure 5(a,d) show typical BLS spectra, recorded from Ta/CFA( t )/MgO thin film heterostructures with t = 10 and 5 nm, respectively.…”