Title :
An Analytical Convolution Method Combined With the Conformal Fourier Transform for Solving 1-D Integral Equations
Author :
Zhu, Chun Hui ; Liu, Qing Huo ; Shen, Yi ; Liu, Lijun
Author_Institution :
Dept. of Control Sci. & Eng., Harbin Inst. of Technol., Harbin, China
fDate :
7/3/1905 12:00:00 AM
Abstract :
A new solver, the analytical convolution method (ACM) combined with the conformal Fourier transform (CFT), is proposed for 1-D integral equations in electromagnetics. ACM directly obtains the convolution between the Green´s function and the induced current density in a closed form. CFT provides a highly accurate Fourier transform of the discontinuous current density. Numerical results show that the ACM-CFT solver is several orders of magnitude more accurate than the traditional methods such as the conjugate-gradient fast Fourier transform (FFT) method, and its CPU time is significantly shorter.
Keywords :
Green´s function methods; computational electromagnetics; fast Fourier transforms; integral equations; 1D integral equations; CPU time; FFT method; Green function; analytical convolution method; computational electromagnetics; conformal Fourier transform; conjugate-gradient fast Fourier transform; discontinuous current density; induced current density; Accuracy; Convolution; Current density; Fast Fourier transforms; Green´s function methods; Integral equations; Analytical convolution; Green´s function; conformal Fourier transform (CFT); integral equation;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2011.2174602
