Higer-Order Intergral Equation Methods in Computational Electromagnetics

摘要: Higher-Order Integral Equation Methods in Computational Electromagnetics Higher-order integral equation methods have been investigated. The study has focused on improving the accuracy and efficiency of Method Moments (MoM) applied to electromagnetic problems. A new set hierarchical Legendre basis functions arbitrary order is developed. provide much better than low-order for a fixed number functions. feature combines advantages lowand higher-order into single flexible In comparison existing functions, result lower matrix condition which accomplished by focusing orthogonality Numerical results confirm that convergence very favorable numbers are achieved. low obtained with enables an efficient iterative solution MoM systems. Iterative incorporate preconditioner four preconditioners presented here; two these found works other adaptations case. experiments verify combination good preconditioner, robust algorithm lead fast even high-order e.g. 10th order. further developed edge singularities. Previous this area shown necessity singular three formulations adapted show one formulation most accurate as well fastest compute. Using formulation, surface currents vicinity edges greatly improved smaller improvements far field. hybrid Physical Optics (PO) technique treating objects too large terms wavelengths be analyzed MoM. employs flat patches. This extended here case curved required memory computation time higherorder PO-MoM typically reduced factor 10 technique. includes coupling between PO regions numerical illustrate accuracy. allows selection expansion demonstrated examples involving patches non-uniform size. electrical size each patch solution.