A two-step self consistent algorithm for extracting magnetic anisotropy constants from angle-dependent ferromagnetic resonance measurements

To infer anisotropy parameters of magnetic materials from experimental measurements of ferromagnetic resonance (FMR) (with data comprising resonant frequencies and corresponding resonant magnetic fields), a fitting procedure to the theoretical model is essential. The governing equation for this fitting process is the Smit–Beljers equation (SB equation), which links FMR frequencies to resonant magnetic field values and anisotropy parameters nonlinearly, and through the equilibrium magnetization angle values, which also depend on the same anisotropy parameters and magnetic field values. Obtaining an analytical expression for this equation is rarely possible. In this paper, we address the challenges posed by the Smit–Beljers equation and propose a two-step self-consistent algorithm to extract the relevant parameters efficiently. • We present a new algorithm to extract the anisotropy parameters from the experimental FMR dataset. • Extracting anisotropy parameters from experimental FMR dataset is challenging because of the interdependency among FMR frequency, magnetization angles and anisotropy parameters. • We have applied a self consistent method to circumvent this interdependency and extracted the anisotropy parameters. • We have validated our algorithm by reproducing the already published results. • We have also shown that our algorithm is faster and perform better compared to the naïve PSO algorithm.