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A connection between the finite-difference time-domain (FDTD) method and the theory of dissipative systems is established. The FDTD equations for a rectangular region are interpreted as a dynamical system having the magnetic field on the boundary as input and the electric field on the boundary as output. Suitable expressions for the energy stored in the region and the energy absorbed from the boundaries...
The application of the Finite Difference Time Domain (FDTD) method to signal and power integrity problems is limited by the large aspect ratio of interconnects and by small skin depth at high frequency, which impose a very fine grid and long simulations. While local grid refinement can be used to overcome this issue, ensuring the stability of the resulting FDTD scheme is not trivial. We present a...
The Finite-Difference Time-Domain (FDTD) method is widely used in signal and power integrity, applied electromagnetism, and physics. Unfortunately, its computational efficiency can be severely degraded for multiscale problems, where small and large features coexist. This scenario is common in signal and power integrity, because of the large aspect ratio of interconnects and power/ground planes. In...
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