The interaction of electromagnetic waves with moving sources, observers, and scatterers is central to many modern scientific and engineering applications, including Doppler radar, wireless communications, remote sensing, biomedical diagnostics, astrophysics, and human–machine interaction. High-performance computing resources, time-domain numerical methods, particularly the finite-difference time-domain (FDTD) method, offer tools for modeling realistic electromagnetic systems.

This book presents a comprehensive and systematic treatment of electromagnetic wave propagation and interaction with moving sources, observers, and objects using the finite-difference time-domain (FDTD) method. Unlike conventional approaches that rely on Lorentz or reference-frame transformations, the proposed framework directly incorporates motion into the numerical solution of Maxwell’s equations within a single inertial frame. This allows electromagnetic phenomena associated with motion to emerge naturally from the time-domain simulation.

The book develops the theoretical foundations required to model arbitrary motion, including uniform translation, acceleration, oscillation, vibration, and rotation, and extends standard FDTD formulations to dynamically evolving geometries. In addition to theory, the book emphasizes practical implementation and physical insight. Detailed algorithms, numerical stability considerations, and validation examples are provided, along with illustrative simulations that demonstrate classical and relativistic Doppler effects, electromagnetic shock waves, and other non-intuitive phenomena.

The text is intended for graduate students, researchers, and practicing engineers seeking a rigorous yet accessible reference on time-domain modeling of moving electromagnetic systems.

Mohammad Marvasti is currently pursuing a Ph.D. degree in computational electromagnetism at the Universit´e du Qu´ebec en Outaouais (UQO), Gatineau, QC, Canada. Mr. Marvasti received a Diploma (B.Sc. degree) in electrical engineering from the Amirkabir University of Technology, Tehran, Iran, in 2015, and M.Sc. degree in telecommunications from the Sharif University of Technology, Tehran, in 2017, with a focus on applied electromagnetism. From 2017 to 2022, he was at Pionaria Ltd., Tehran, where he worked on designing, fabricating, and testing antenna systems and passive RF components in different frequency bands.

Halim Boutayeb is a Professor of Electrical Engineering at Université du Québec en Outaouais (UQO), Gatineau, Canada. He received a B.Sc. degree in electrical engineering from the École Supérieure d’Ingénieurs de Rennes, France, in 2000, and the French D.E.A. (M.Sc.) and Ph.D. degrees in electrical engineering from the University of Rennes, Rennes, France, in 2000 and 2003, respectively. From 2004 to 2006, he held a postdoctoral research position at INRS–EMT, Montréal, QC, Canada followed by a researcher position at the École Polytechnique de Montréal, Montréal, QC, Canada and also served as Coordinator of the Centre de Recherche en Électronique Radiofréquence (CREER). From 2012 to 2020, he was a Research and Development Staff Member at Huawei Technologies Co., Ltd., in Ottawa, ON, Canada.

Prof Boutayeb’s research interests include antennas, microwave circuits, the finite-difference time-domain (FDTD) method, artificial and engineered materials, radar systems, local positioning systems, biomedical electromagnetics, and phased-array technologies. He has authored or coauthored more than 220 journal and conference publications and holds 25 patents. He has been serving as a reviewer for numerous international journals and conferences and has served on the technical program committees and steering committees of several international conferences.