论文信息 - Edge-Based Finite Element Analysis of Singly-and Doubly-Periodic Scatterers Using Absorging and Periodic Boundary Conditions

Edge-Based Finite Element Analysis of Singly-and Doubly-Periodic Scatterers Using Absorging and Periodic Boundary Conditions

ABSTRACT This paper presents a simple but accurate Finite Element Method (FEM) technique which is based on hexahedral parallelepiped finite elements and Whitney's edge basis functions. The technique is useful for the analysis of scattering from 1-D, 2-D, or from isolated 3-D scatterers. Numerical results are presented for a variety of such scatterers to show the usefulness of the method. The results also point to the need for the use of improved absorbing boundary conditions (ABCs) as well as of higher order basis functions when more accurate results are required. The emphasis in the proposed method is on its simplicity and versatility.

[1] Raj Mittra,et al. An application of the perfectly matched layer (PML) concept to the finite element method frequency domain analysis of scattering problems , 1995 .

[2] Raj Mittra,et al. Forward scattering from square cylinders in the resonance region with application to aperture blockage , 1976 .

[3] R. Mittra,et al. A numerical absorbing boundary condition for 3D edge‐based finite‐element analysis of very low‐frequency fields , 1995 .

[4] Jean-Pierre Berenger,et al. A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[5] Raj Mittra,et al. A numerical absorbing boundary condition for finite-difference and finite-element analysis of open structures , 1994 .

[6] Rafael Pous,et al. Measured equation of invariance: a new concept in field computations , 1994 .

[7] Raj Mittra,et al. A combined FEM/MoM approach to analyze the plane wave diffraction by arbitrary gratings , 1992 .

[8] Raj Mittra,et al. Radar cross section computation of inhomogeneous scatterers using edge‐based finite element methods in frequency and time domains , 1993 .

[9] Andrew F. Peterson,et al. Vector finite element formulation for scattering from two-dimensional heterogeneous bodies , 1994 .

[10] R. Mittra,et al. Mesh truncation in the finite‐element frequency‐domain method with a perfectly matched layer (PML) applied in conjunction with analytic and numerical absorbing boundary conditions , 1995 .