Implementation of high order impedance boundary condition into fast multipole algorithm for large ferrite-coated cylinder scattering problem

2002 ◽  
Author(s):  
Zhang Yaojiang ◽  
Feng Zhenghe
Keyword(s):  
Boundary Condition ◽  
Scattering Problem ◽  
High Order ◽  
Impedance Boundary Condition ◽  
Fast Multipole ◽  
Impedance Boundary ◽  
Fast Multipole Algorithm ◽  
Coated Cylinder

scholarly journals A High-Order Compact 2D FDFD Method for Waveguides

2012 ◽  
Vol 2012 ◽  
pp. 1-6
Author(s):  
Gang Zheng ◽  
Bing-Zhong Wang
Keyword(s):  
Boundary Condition ◽  
Finite Difference ◽  
Surface Impedance ◽  
Transverse Field ◽  
High Order ◽  
Impedance Boundary Condition ◽  
Two Dimensional ◽  
Dispersion Characteristics ◽  
Impedance Boundary ◽  
Numerical Examples

A high-order compact two-dimensional finite-difference frequency-domain (2D FDFD) method is proposed for the analysis of the dispersion characteristics of waveguides. A surface impedance boundary condition (SIBC) for the high-order compact 2D FDFD method is also given to model lossy metal waveguides. Four transverse field components are involved in the final eigenequation. Numerical examples are given, which show that this high-order compact 2D FDFD method is more efficient than the low-order compact 2D FDFD method and has a less storage cost.

scholarly journals Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Jun Guo ◽  
Guozheng Yan ◽  
Mingjian Cai
Keyword(s):  
Boundary Condition ◽  
Scattering Problem ◽  
Plane Waves ◽  
Homogeneous Medium ◽  
Uniqueness Result ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Impedance Boundary Condition ◽  
Mathematical Basis ◽  
Impedance Boundary

This paper is concerned with the scattering problem of time-harmonic acoustic plane waves by an impenetrable obstacle buried in a piecewise homogeneous medium. The so-called generalized impedance boundary condition is imposed on the boundary of the obstacle. Firstly, the well posedness of the solution to the direct scattering problem is established by using the boundary integral method. Then a uniqueness result for the inverse scattering problem is proved; that is, both of the obstacle’s shape and the impedances (μ,λ) can be uniquely determined from far field measurements. Furthermore, a mathematical basis is given to reconstruct the shape of the obstacle by using a modified linear sampling method.

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