This communication presents a fully second-order accurate time-domain simulation scheme that incorporates magnetic materials operating in the dominant mode. The proposed scheme is a modification of the Yee scheme by incorporating the Landau-Lifschitz equation of motion including the dominant and loss terms. Additionally, a rigorous dispersion analysis is presented for the proposed scheme. It is demonstrated that the proposed scheme has no numerical losses (when the phenomenological loss term is set to zero), and the pertinent resonant frequencies experience a second-order shift as a consequence of the numerical discretization.

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