APPLICATION OF THE METHOD OF LEAST SQUARES FOR THE ANALYSIS AND DESIGN OF THE ELECTROMAGENTIC ENGINEERING PROBLEMS

In this paper, some applications of the Method of Least Squares (MLS) for the solution of various problems in electromagnetics engineering is briefly reviewed. Here, MLS is employed for the solution of various problems such as solution of equations, curve fitting to measured data, generalized Fourier coefficients, linear operator equations, inegro-differential equations, electrostatics and magnetostatics problems, boundary value problems (by the Least Square Boundary Residual Method LSBRM), design of impedance transformers and matching by step and tapered lines, optimum design of multihole directional couplers, coupled-line couplers, branch line couplers, ring couplers, analysis of wire antennas, antenna pattern synthesis, array synthesis and scattering. In this study, it becomes clear that MLS can be applied to devise effective numerical algorithms for the analysis and design of problems in the subject areas of radiation, scattering, antennas, microwaves, engineering mathematic, etc. Some papers and books published in the area of MLS applications for the analysis and design of problems in electromagnetics engineering are grouped and presented in references.

Keywords:

Optimization , Method of Least Squares , Least Squares Boundary Residual Method , Numerical Methods in Electromagnetics , Error Function , Minimization , Solution of Equations , Linear Equations , Integro-Differential Equations , Microwave Devices , Antennas , Arrays , Radiators , روش کمترین مربعات , روش باقیمانده مرزی کمترین مربعات , روشهای عددی در الکترو مغناطیس , تابع خطا , بهینه سازی , کمینه سازی , حل معادلات , معادلات انتگرالی و دیفرانسیلی , معادلات خطی , قطعات میکروویو , آنتن , آرایه , تشعشع کننده , پراکندگی