Yong-Dan Kong

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The stability of the four-step alternating direction implicit finite-difference time-domain (ADI-FDTD) method including lumped capacitors is studied. In particular, the implicit different formulation for the lumped capacitor is analyzed. Then, its unconditional stability is analytically proven by the von Neumann method. Finally, its unconditional stability(More)
An unconditionally-stable four-stages split-step convolutional perfectly matched layer (PML) algorithm is presented for modeling open region finite-difference time-domain (FDTD) applications. In the proposed method, the Maxwell's matrix is separated into four sub-matrices. Accordingly, the time step is divided into four sub-steps. Then, the formulation of(More)
An improved unconditionally-stable finite-difference time-domain (FDTD) method based on the split-step scheme is presented, which provides low numerical dispersion. Firstly, symmetric operator and uniform splitting are adopted to split the matrix derived from the classical Maxwell's equations into four sub-matrices. Simultaneously, two controlling(More)
A five-step locally one-dimensional finite-difference time-domain (LOD5-FDTD) method including lumped capacitors is presented. In particular, the implicit different formulation for the lumped capacitor is analyzed. Then, its unconditional stability is analytically proven by combining the von Neumann method with the Jury criterion. In addition, its(More)
The unconditionally-stable four-stages split-step finite-difference time-domain (SS4-FDTD) method is extended to Debye dispersive media, which based on the auxiliary differential equation (ADE) formulation. Furthermore, numerical results are carried out for different Courant-Friedrichs-Lewy numbers in two-dimensional domains, which shown that the proposed(More)
The lumped network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows the lumped networks to be inserted into some ADI-FDTD cells. Based on the piecewise linear recursive convolution (PLRC) technique, the current expression of the(More)
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