Electromagnetic Simulation Using the FDTD Method with Python

Jennifer E. Houle is the Vice President for Research at Moscow-Berlin Simulations. She also worked as a Senior Product Engineer at Micron Technology. She has a Masters degree in Electrical Engineering from the University of Idaho. Her work has been published in the International Journal of Magnetics and Electromagnetism and the Symposium on Nonlinear Optics and Sum Rules, and her research was presented at the 32nd Annual Meeting of the European Hyperthermic Oncology Society.Dennis M. Sullivan, PhD, is Professor of Electrical and Computer Engineering at the University of Idaho. His research interests are electromagnetic and quantum simulation, and include hyperthermia cancer therapy, nonlinear optical simulation, and quantum semiconductor simulation. In 2013 he was made a fellow of the Institute of Electrical and Electronic Engineers. He published the first edition of Electromagnetic Simulation Using the FDTD Method with Wiley in 2001 and the second edition in 2013.

• 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