Department of Electronic Science and Technology Maxwells Equations

Department of Electronic Science and Technology Maxwell’s Equations Prepared for the class “Microwave Engineering and Antenna Design” Prof. Meisong Tong 1

Department of Electronic Science and Technology Outline n n n Maxwell’s equations Electromagnetic integral equations Method of moments Dual basis function Numerical examples 2

Maxwell’s Equation Department of Electronic Science and Technology We are speaking the same language, Maxwell’s Equations. In memory of Prof. J. A. Kong, MIT Vector Wave Equations (Helmholtz Equations) Vector potentials, Green’s function, boundary conditions Integral equations 3

Electromagnetic Integral Equations n n n Department of Electronic Science and Technology Electric field integral equation (EFIE) Magnetic field integral equation (MFIE) Combined field integral equation (CFIE) PMCHWT equation Müller’s equation Volume integral equation (VIE) (EFIE) (MFIE) 4

EFIE for Dielectric Objects Department of Electronic Science and Technology 5

Volume Integral Equations Department of Electronic Science and Technology 6

Method of Moments (Mo. M) Department of Electronic Science and Technology Representation of unknown functions Testing of integral equations 7

RWG Basis Function Department of Electronic Science and Technology otherwise 8