Finite Difference Time Domain Method with Moving Structures

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.