Computational Electromagnetics for RF and Microwave Engineering

Abstract

This hands-on introduction to computational electromagnetics (CEM) links theoretical coverage of the three key methods - the FDTD, MoM and FEM - to open source MATLAB codes (freely available online) in 1D, 2D and 3D, together with many practical hints and tips gleaned from the author's 25 years of experience in the field. Updated and extensively revised, this second edition includes a new chapter on 1D FEM analysis, and extended 3D treatments of the FDTD, MoM and FEM, with entirely new 3D MATLAB codes. Coverage of higher-order finite elements in 1D, 2D and 3D is also provided, with supporting code, in addition to a detailed 1D example of the FDTD from a FEM perspective. With running examples through the book and end-of-chapter problems to aid understanding, this is ideal for professional engineers and senior undergraduate/graduate students who need to master CEM and avoid common pitfalls in writing code and using existing software.

Imaging in electrically conductive porous media without frequency encoding

“…Throughout our study we solve the Maxwell vector equations numerically to calculate B 1 at each location in the sample volume. Our calculations are based on the hybrid finite element/boundary integral technique [17,18].…”

On the relation between FDTD and Fibonacci polynomials

“…After discretizing Maxwell's equations in space on a staggered possibly nonuniform Yee-grid ( [3,4]), we obtain the socalled finite-difference state-space representation [5] ðD þ M@ t Þf ¼ ÀwðtÞq:…”

“…It can be considered as one of the workhorses of computational electromagnetics and it is used to solve a wide range of electromagnetic wave field problems in many different areas of physics and engineering (see, for example [1][2][3][4]). A partial history of FDTD techniques can be found in [3].…”

“…This result also follows from a standard numerical dispersion analysis of FDTD. Dispersion is minimized by iterating with a time step as close to the CFL limit as possible [4].…”

A moment-method characterization of V-Koch fractal dipole antennas

“…In MoM formulation the segment length to radius of wire ratio ( /a) is critical for accuracy and validation [8]. For iterated structures like fractal geometries it gets far more important due to increasing number of inflection points.…”