Abstract
Efficient Method for Solving TM-Polarized Plane Wave Scattering from Two-Dimensional Perfect Conductor Surfaces Using Fourier Series Approximation of the Green’s Function
Highlights
Method of moments (MoM) is a numerical method that is used to solve boundary-integral equations [1] and produces a matrix
Iterative methods are found to be numerically more effective [2] where matrix-vector multiplication (MVM) count and memory requirement (MR) are proportional to O(N2) at each iteration step where N is the number of unknowns in the problem
The proposed method, i.e., (10), is used to solve electromagnetic wave scattering (EWS) from canonical 2D shape, i.e., circular cylinder, with different sizes and mean square error (MSE) with MoM, i.e., (6), as a reference is calculated as a function of the upper limits of the summations and number of points on the scatterer
Summary
Method of moments (MoM) is a numerical method that is used to solve boundary-integral equations [1] and produces a matrix. One old and simple method is a conjugate gradient fast Fourier transform [7], [8] It reduces the MVM operation count and MR proportional to O(NlogN) and O(N), respectively. This method does not work with all kinds of basis functions and its application is restricted [9] To solve this issue, an adaptive integral method was developed which reduces the MVM operation count proportional to O(N3/2logN) operations and the MR proportional to O(N3/2) [10], [11]. An adaptive integral method was developed which reduces the MVM operation count proportional to O(N3/2logN) operations and the MR proportional to O(N3/2) [10], [11] This method uses arbitrary basis functions that are projected on a uniform grid to enable the use of FFT. Note MoM is usually used to solve problems that require millions of unknowns or more
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
