Assets for Low-Frequency Electromagnetic Modeling for Electrical and Biological Systems Using MATLAB

Sergey N. Makarov, Gregory M. Noetscher, and Ara Nazarian

List of Simple Scripts/Functions for MoM Integrals included with the Text

analyt.m 4.1 This function returns double potential MoM self-integrals I = IsIs(1/r) on triangles given by Eq. (4.20)

potint.m 4.2 This function returns single potential MoM integrals I = Is(1/r) given by Eq. (4.25) and integrals IRho=Is(vec(r)/r)

test1.m 4.2 A script that illustrates the use of Gaussian quadratures on triangles to find a single potential MoM integral, I = Is(1/r)

test2.m 4.2 A script that illustrates the use of barycentric quadratures on triangles to find a single potential MoM integral I = Is(1/r)

tri.m 4.2 This function returns integration points and weights in Eqs. (4.23) and (4.24), for barycentric triangle subdivision and for Gaussian quadratures on triangles, respectively.

potint2.m 6.1 This function returns single potential MoM integrals Int = Is(grad(1/r)) given by Eq. (6.14) and follows the method described in Wang Z, Volakis J, Saitou K, Kurabayashi K. Comparison of semi-analytical formulations and Gaussian-quadrature rules for quasi-static double-surface potential integrals. IEEE Antennas Propag. Mag. 2003;45 (6):96–102.

test1.m 6.1 This scrip illustrates the use of Gaussian quadratures on triangles to find a single potential MoM integral I = Is(grad(1/r))

analyt.m 4.1 This function returns double potential MoM self-integrals I = IsIs(1/r) on triangles given by Eq. (4.20)

potint.m 4.2 This function returns single potential MoM integrals I = Is(1/r) given by Eq. (4.25) and integrals IRho=Is(vec(r)/r)

test1.m 4.2 A script that illustrates the use of Gaussian quadratures on triangles to find a single potential MoM integral, I = Is(1/r)

test2.m 4.2 A script that illustrates the use of barycentric quadratures on triangles to find a single potential MoM integral I = Is(1/r)

tri.m 4.2 This function returns integration points and weights in Eqs. (4.23) and (4.24), for barycentric triangle subdivision and for Gaussian quadratures on triangles, respectively.

potint2.m 6.1 This function returns single potential MoM integrals Int = Is(grad(1/r)) given by Eq. (6.14) and follows the method described in Wang Z, Volakis J, Saitou K, Kurabayashi K. Comparison of semi-analytical formulations and Gaussian-quadrature rules for quasi-static double-surface potential integrals. IEEE Antennas Propag. Mag. 2003;45 (6):96–102.

test1.m 6.1 This scrip illustrates the use of Gaussian quadratures on triangles to find a single potential MoM integral I = Is(grad(1/r))