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This paper derives exactly the stability condition of the dispersive hybrid implicit‐explicit finite‐difference time‐domain (HIE‐FDTD) method used for the simulations of the graphene‐based devices. Combining with the Routh‐Hurwitz criterion, an analytical closed‐form stability expression is obtained. The result shows that the maximum time increment of the dispersive HIE‐FDTD method is only associated...
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