Electromagnetic Waves: Basics and Equations

This lecture covers the fundamental concepts of electromagnetic waves, focusing on wave equations and their solutions. Starting with the wave equation from d'Alembert, the instructor explains the propagation of waves in different media and the influence of polarization. The lecture delves into the Maxwell's equations and their role in deriving the equations of electromagnetic waves. It also discusses the approximations and properties of wave equations in various mediums, emphasizing linear, non-dispersive, and non-linear behaviors. Furthermore, the lecture explores the implications of anisotropy, dispersion, and polarization on wave propagation. The presentation concludes with a detailed analysis of wave solutions, energy transport, and the Poynting vector in electromagnetic fields.