Title :
MoM Matrix Generation Based on Frequency and Material Independent Reactions (FMIR-MoM)
Author :
Hislop, Greg ; Ozdemir, Nilufer Aslihan ; Craeye, Christophe ; Ovejero, David González
Author_Institution :
Inst. of Inf. & Commun. Technol., Electron. & Appl. Math., Univ. Catholique de Louvain (UCL), Louvain la Neuve, Belgium
Abstract :
A novel and efficient method of moments (MoM) matrix generation technique called the frequency and material independent reactions for the method of moments (FMIR-MoM) technique is presented. This new matrix generation algorithm efficiently calculates impedance matrices while sweeping through frequency, permittivity, conductivity, and/or permeability values. For frequency sweeps it has computational and memory costs comparable to those of interpolation techniques. It has the advantage over interpolation techniques in that it does not divide the frequency range into segments and allows one to dynamically update the precision. The technique expands the exponential of the Green´s function into a Taylor series. This allows the problem to be formulated as a summation, where each term consists of a real valued matrix depending only on the geometry (discretization), multiplied by a scalar dependent on the propagation constant. The algorithm´s efficiency is obtained by calculating the geometry-dependent matrices prior to sweeping through frequency or material parameters.
Keywords :
Green´s function methods; electromagnetic wave propagation; geometry; impedance matrix; interpolation; method of moments; permeability; permittivity; FMIR-MoM technique; Green´s function; MoM matrix generation technique; Taylor series; conductivity; frequency sweeping; frequency-material independent reaction technique; geometry-dependent matrices; impedance matrices; interpolation techniques; method of moment matrix generation technique; permeability; permittivity; propagation constant; realvalued matrix; scalar dependent; Dielectrics; Impedance; Interpolation; Moment methods; Permittivity; Propagation constant; Taylor series; Algorithms; Ultra wideband antennas; antennas; computational electromagnetics; dielectric constant; dielectric devices; dielectric measurements; dielectrics; electromagnetics; frequency; moment methods; permeability; permittivity; propagation constant; radar cross section;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2012.2211325