Provides an introduction to the Finite Difference Time Domain method and shows how Python code can be used to implement various simulations
This book allows engineering students and practicing engineers to learn the finite-difference time-domain (FDTD) method and properly apply it toward their electromagnetic simulation projects. Each chapter contains a concise explanation of an essential concept and instruction on its implementation into computer code. Included projects increase in complexity, ranging from simulations in free space to propagation in dispersive media. This third edition utilizes the Python programming language, which is becoming the preferred computer language for the engineering and scientific community.
Electromagnetic Simulation Using the FDTD Method with Python, Third Edition is written with the goal of enabling readers to learn the FDTD method in a manageable amount of time. Some basic applications of signal processing theory are explained to enhance the effectiveness of FDTD simulation. Topics covered in include one-dimensional simulation with the FDTD method, two-dimensional simulation, and three-dimensional simulation. The book also covers advanced Python features and deep regional hyperthermia treatment planning.
Electromagnetic Simulation Using the FDTD Method with Python:
- Guides the reader from basic programs to complex, three-dimensional programs in a tutorial fashion
- Includes a rewritten fifth chapter that illustrates the most interesting applications in FDTD and the advanced graphics techniques of Python
- Covers peripheral topics pertinent to time-domain simulation, such as Z-transforms and the discrete Fourier transform
- Provides Python simulation programs on an accompanying website
An ideal book for senior undergraduate engineering students studying FDTD, Electromagnetic Simulation Using the FDTD Method with Python will also benefit scientists and engineers interested in the subject.
Table of Contents
About the Authors ix
Preface xi
Guide to the Book xiii
1 One-Dimensional Simulation with the FDTD Method 1
1.1 One-Dimensional Free-Space Simulation 1
1.2 Stability and the FDTD Method 5
1.3 The Absorbing Boundary Condition in One Dimension 6
1.4 Propagation in a Dielectric Medium 7
1.5 Simulating Different Sources 9
1.6 Determining Cell Size 10
1.7 Propagation in a Lossy Dielectric Medium 11
1.A Appendix 14
References 15
2 More on One-Dimensional Simulation 25
2.1 Reformulation Using the Flux Density 25
2.2 Calculating the Frequency Domain Output 28
2.3 Frequency-Dependent Media 31
2.3.1 Auxiliary Differential Equation Method 35
2.4 Formulation Using Z Transforms 37
2.4.1 Simulation of Unmagnetized Plasma 38
2.5 Formulating a Lorentz Medium 41
2.5.1 Simulation of Human Muscle Tissue 45
References 47
3 Two-Dimensional Simulation 59
3.1 FDTD in Two Dimensions 59
3.2 The Perfectly Matched Layer (PML) 62
3.3 Total/Scattered Field Formulation 72
3.3.1 A Plane Wave Impinging on a Dielectric Cylinder 74
3.3.2 Fourier Analysis 76
References 78
4 Three-Dimensional Simulation 99
4.1 Free-Space Simulation 99
4.2 The PML in Three Dimensions 103
4.3 Total/Scattered Field Formulation in Three Dimensions 105
4.3.1 A Plane Wave Impinging on a Dielectric Sphere 107
References 111
5 Advanced Python Features 129
5.1 Classes 129
5.1.1 Named Tuples 131
5.2 Program Structure 133
5.2.1 Code Repetition 133
5.2.2 Overall Structure 135
5.3 Interactive Widgets 136
6 Deep Regional Hyperthermia Treatment Planning 159
6.1 Introduction 160
6.2 FDTD Simulation of the Sigma 60 161
6.2.1 Simulation of the Applicator 161
6.2.2 Simulation of the Patient Model 163
6.3 Simulation Procedure 165
6.4 Discussion 168
References 170
Appendix A The Z Transform 171
Appendix B Analytic Solution to Calculating the Electric Field 183
Index 195
