Study on the Suitability of Numerical Integration at 5G Frequencies Using Unit Cube Test

Abstract

The assessment of human exposure to 5G mobile systems requires the use of numerical methods such as method of moments (MoM). MoM solution of the integral equation based formulation results in the fully populated system matrix whose filling time represents the most time-consuming operation for many problems. As the matrix size is directly related to the frequency of the problem, the numerical solutions in the 5G frequency range will thus put a tremendous computational cost both in terms of matrix fill time but also in the memory allocation. The paper is on the investigation of suitability of numerical integration at 5G frequencies using a unit cube test. The example of double surface integral in case of a combination of coplanar triangles is numerically solved using the Dunavant’s symmetrical quadrature rules for triangles. The results show that depending on the discretization scheme, lower integration orders could be utilized, resulting in the reduced matrix fill time without actually sacrificing the accuracy.