Provides an introduction to the Finite Difference Time Domain method and shows how Python code can be used to implement various simulationsThis 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 websiteAn 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.

About the Authors ixPreface xiGuide to the Book xiii1 One-Dimensional Simulation with the FDTD Method 11.1 One-Dimensional Free-Space Simulation 11.2 Stability and the FDTD Method 51.3 The Absorbing Boundary Condition in One Dimension 61.4 Propagation in a Dielectric Medium 71.5 Simulating Different Sources 91.6 Determining Cell Size 101.7 Propagation in a Lossy Dielectric Medium 111.A Appendix 14References 152 More on One-Dimensional Simulation 252.1 Reformulation Using the Flux Density 252.2 Calculating the Frequency Domain Output 282.3 Frequency-Dependent Media 312.3.1 Auxiliary Differential Equation Method 352.4 Formulation Using Z Transforms 372.4.1 Simulation of Unmagnetized Plasma 382.5 Formulating a Lorentz Medium 412.5.1 Simulation of Human Muscle Tissue 45References 473 Two-Dimensional Simulation 593.1 FDTD in Two Dimensions 593.2 The Perfectly Matched Layer (PML) 623.3 Total/Scattered Field Formulation 723.3.1 A Plane Wave Impinging on a Dielectric Cylinder 743.3.2 Fourier Analysis 76References 784 Three-Dimensional Simulation 994.1 Free-Space Simulation 994.2 The PML in Three Dimensions 1034.3 Total/Scattered Field Formulation in Three Dimensions 1054.3.1 A Plane Wave Impinging on a Dielectric Sphere 107References 1115 Advanced Python Features 1295.1 Classes 1295.1.1 Named Tuples 1315.2 Program Structure 1335.2.1 Code Repetition 1335.2.2 Overall Structure 1355.3 Interactive Widgets 1366 Deep Regional Hyperthermia Treatment Planning 1596.1 Introduction 1606.2 FDTD Simulation of the Sigma 60 1616.2.1 Simulation of the Applicator 1616.2.2 Simulation of the Patient Model 1636.3 Simulation Procedure 1656.4 Discussion 168References 170Appendix A The Z Transform 171Appendix B Analytic Solution to Calculating the Electric Field 183Index 195