Ultra Wideband Antennas

9Numerical Methods for Electromagnetics

Contents

9.1 Maxwell’s Equations

9.1.1 Basic field laws

9.1.2 Scalar and vector potentials

9.1.3 Wave equations

9.1.4 Essence of the physically-sized antennas problem

9.2 Boundary Value Conditions

9.2.1 Normal components

9.2.2 Tangential components

9.2.3 Boundary conditions and unique solution to the Maxwell’s equations

9.2.4 Radiation condition

9.3 Current Distribution on Antennas

9.4 Numerical Methods

9.4.1 Continuous equations in a finite computational environment

9.4.2 Computational domain and meshing

9.4.3 Classification of the methods

9.4.4 Finite differences method

9.4.5 Finite element method (FEM)

9.4.5.1 Elements: The essence of the FEM

9.4.5.2 Interpolation functions

9.4.5.3 Sequence of the ...