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In this letter, an adaptive Stoer-Bulirsch frequency-sampling method (SB-AFS) is proposed in conjunction with Sparse-Matrix/Canonical Grid (SM/CG) method to analyze the broadband electromagnetic wave scattering from precipitation particles. Compared to other sampling methods, the Stoer-Bulirsch algorithm can obtain a rational interpolation function without suffering from singularity problems, as this algorithm is a recursive tabular method and no matrix inversion is required. Furthermore, since final results are obtained by interpolating with the adaptive frequency sampling method, no more information is needed except the sampled frequency and its true value. Hence, it can be appropriately used in the electromagnetic simulations of precipitation particles. Numerical results demonstrate that our proposed sampling strategy performs well in terms of both simulation time and computation accuracy.