Galerkin temporal testing procedure, one relationship between fieldĬomponents and auxiliary differential variables is derived. In order to get a simple and easy formula, the auxiliary differential Would be involved and the final matrix equations will also be complex.
In is used directly here, the second derivative field components The constitutive parameters of CPML are complicated, and if the method In this paper, a 2D CPML for auxiliary differential equation (ADE)įDTD method using AH orthogonal functions is proposed. The reflection error of CPML can be greatly reduced fromĪdjusting variables, and it has been implemented in the CartesianĬoordinate, periodic structures, cylindrical coordinates, dispersive Has three adjustable variables, while there are two adjustable variablesįor UPML-ABC.
The frequency-domain coordinate-stretching variable of CFS-PML (CPML) According to Kuzuoglu and Mittrain, the complexįrequency shifted (CFS) PML is the most accurate in all the PML. Recently, UPML-ABC for AH-FDTD method is used inĬonductive medium. PML (MPML), uniaxial anisotropic PML (UPML), generalized PML (GPML), and Some PML variants have been proposed to improve theĪbsorbing effectiveness for various electromagnetic waves, like modified (ABCs) introduced by Berenger have been widely used for truncatingįDTD domains. The perfectly matched layer (PML) absorbing boundary conditions Wave propagation have been introduced in. Recently, the Associated Hermite (AH) FDTD methods to model One-dimensional method, and Weighted Laguerre Polynomials (WLP) FDTD Implicit (ADI) method, Crank-Nicolson method, locally Stable FDTD methods have been developed such as alternating-direction In order to eliminate the CFL stability condition, some unconditionally When fine structures such as thin material and slotĪre simulated, more computer memory and computation time are required. In the conventional finite-difference time-domain (FDTD) method, the time step is constrained by the Courant-Friedrichs-Lewy (CFL)
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