Finite-difference solution of scattering by a rectangular cylinder (TM) using exact mesh termination (original) (raw)

An Accurate Boundary Value Problem Solver Applied to Scattering From Cylinders With Corners

IEEE Transactions on Antennas and Propagation, 2013

In this paper we consider the classic problems of scattering of waves from perfectly conducting cylinders with piecewise smooth boundaries. The scattering problems are formulated as integral equations and solved using a Nyström scheme where the corners of the cylinders are efficiently handled by a method referred to as Recursively Compressed Inverse Preconditioning (RCIP). This method has been very successful in treating static problems in non-smooth domains and the present paper shows that it works equally well for the Helmholtz equation. In the numerical examples we specialize to scattering of E-and H-waves from a cylinder with one corner. Even at a size kd = 1000, where k is the wavenumber and d the diameter, the scheme produces at least 13 digits of accuracy in the electric and magnetic fields everywhere outside the cylinder.

Time-domain analysis of TM scattering from conducting cylinders using a hybrid method

IEEE Transactions on Microwave Theory and Techniques, 1998

In this paper, the finite-element method (FEM) is used to solve open-region problems utilizing the time-domain differential form of Maxwell's equations. The radiation boundary condition for the open-region problem is enforced through the time-domain Green's function as used in integral-equation methods, yet keeping the sparsity of the FEM matrices. In this paper, the proposed method is applied to the time-domain analysis of TM scattering from conducting cylinders. At each time step, the fields inside the discretized domain are calculated using the FEM. The computed induced currents of earlier time steps, together with contributions from the present time step, give the radiation condition at the terminating surface. Numerical results are presented to illustrate the applicability of this technique.

Electromagnetic scattering from cylinder described by high-order inhomogeneous impedance boundary conditions

Microwave and Optical Technology Letters, 2006

In this study, the electromagnetic scattering from a highorder inhomogeneous impedance cylinder is investigated. The method presented in this paper is based on the series representation of incident and scattering fields. The inhomogeneous-surface impedance functions are also expressed by terms of Fourier series. By using the boundary condition on the surface of the cylinder, a series equation is obtained. This equation is reduced the matrix equation by using the orthogonal properties of the Fourier expansion functions and unknown mode coefficients can be calculated. The obtained results are compared with those obtained using the method of moments (MoM) for 1 st-order inhomogeneous-surface impedance cylinder and good agreements are observed.

On some numerical aspects of the scattering problem by buried cylinders

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2013

Purpose-The purpose of this paper is to investigate the numerical aspects of the electromagnetic scattering of a plane wave by a set of buried cylinders. Design/methodology/approach-The cylindrical wave approach is employed. The analytical model is implemented in a Fortran code. The numerical aspects of the technique are presented, with particular emphasis on the numerical evaluation of the integrals involved in the procedure. Findings-The tool obtained allows a fast computation of the electromagnetic field scattered by an arbitrary disposition of circular cylinders below an interface. Comparisons with the finite element method are proposed, showing the very good agreement between the results obtained with the two different approaches. Originality/value-The advantages of the proposed technique in terms of computational weight are explained. The method can be useful in a wide class of application, e.g. in the ground penetrating radar applications, microscopy, biomedical applications, etc.

Analysis of electromagnetic scattering by triangular section cylinders

2005 IEEE Antennas and Propagation Society International Symposium, 2005

An efficient method for the analysis of the electromagnetic scattering by perfectly conducting triangular section cylinders is presented. The efficiency of the method stems from the factorization of the right edge behavior of the fields obtained by means of a generalization of the Neumann series. The application of the Method of Moments is therefore not cumbersome nor time consuming.