We present an extension of Large Time Step (LTS) method to electromagnetic wave propagation involving multilayered homogeneous media. The LTS method proposed by LeVeque is an extension of Godunov's method for the numerical solution of hyperbolic conservation laws. In this method, very large time steps are allowed by an increase in the numerical domain of dependence compared to conventional explicit methods constrained by the Courant-Friedrichs-Lewy stability criteria. This can lead to additional complexities when being applied to multilayered homogeneous media due to presence of material interfaces. Appropriate treatment of material interface boundaries is proposed in the present work in the context of finite volume time-domain method with LTS. Numerical examples are presented involving solution of time-domain Maxwell's equations in a layered dielectric medium using LTS approach.
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