Introduction to Computational Electromagnetics

Solving electromagnetic equations analytically becomes nearly impossible when dealing with real-world, complex geometries. Computational electromagnetics bridges this gap, allowing you to simulate and analyze electromagnetic fields using numerical algorithms. This text-based course helps you transition from understanding basic wave equations to formulating and implementing numerical solvers. You will gain the foundational knowledge required to analyze antennas, waveguides, and scattering phenomena using modern computational techniques. What you'll learn: Understand the mathematical foundations of electromagnetics, including Maxwell's equations and boundary conditions; Formulate and apply the Finite-Difference Time-Domain (FDTD) method to simulate wave propagation; Implement the Method of Moments (MoM) for solving integral equations in scattering problems; Explore the basics of the Finite Element Method (FEM) for complex geometries and material properties; Apply modern Python-based computational libraries to set up, run, and analyze electromagnetic simulations; Analyze simulation errors, stability criteria, and convergence to ensure accurate modeling results. The course starts with essential mathematical and physical definitions before guiding you step-by-step through discretization techniques and solver formulations. You will read through clear theoretical explanations, analyze code snippets, and study algorithmic workflows to build a solid computational mindset. This course is designed for undergraduate engineering students, researchers, and self-learners who have a basic background in calculus and electromagnetism but are new to computational modeling. Start your journey into computational electromagnetics today.