Research And Application Of High-order Method Of Moments Based On Frequency Domain Integral Equation For Electromagnetic Calculation

At present, the numerical method for computational electromagnetic can be divided into time domain and frequency domain, and based on frequency-domain integral equation method of moments (MOM) is one of the more mature classical electromagnetic numerical methods, and operator equation transform into matrix equation is mainly the process of this method.Firstly, this thesis introduces the basic mathematical theory of the method of moments, secondly introduces the derivation of the two-dimensional perfect conductor scattering problem in the frequency-domain integral equation. In order to improve the accuracy for solving the integral equation by the method of moment: constructing a method of high-order basis function expend the unknown current by order3laugerre polynomials, which is used to solve the problem of electromagnetic scattering of two-dimensional conductor. Numerical results are presented to demonstrate the high accuracy compared with those by low-level method of moments and analytical solution, when the size of mesh grid is large. In the scattering problems of electrically lager conductor, the new high-order method of moments has a higher efficiency.When this thesis solve the problem of electromagnetic scattering of two-dimensional conductor by method of moments, face of matrix equations, this thesis apply the iterative algorithm. Introducing four iterative algorithm principle, which is conjugate gradient method (CG), conjugate gradient squared method (CGS), biconjugated gradient method(BiCGS), biconjugated gradient stablied method (BiCGSTAB), solve the problem of electromagnetic scattering of two-dimensional conductor by this iterative algorithm. The numerical results show that:this iterative algorithm to solve the matrix equation, with the advantages of fast convergence and stably calculation.