, which Maxwell added to Ampere's Law to ensure charge conservation in time-varying fields. Vector and Scalar Potentials: Usage of the magnetic vector potential ( ) and electric scalar potential ( ) to solve field problems, often employing Gauge Transformations (Lorentz and Coulomb Gauges) to simplify calculations. 2. Electromagnetic Wave Propagation Wave Equation:
Plane waves in non-conducting, isotropic media where the refractive index Conductors: Analysis of Skin Depth
) behave at the interface between different materials (e.g., the tangential component of is continuous). Fresnel's Equations:
Similar course content can be found in university e-content like this Electromagnetic Theory PDF specific derivation from this book (like the Poynting Theorem) or a summary of a particular chapter Electromagnetic theory
The Chopra & Agarwal text focuses on the transition from static fields to dynamic electromagnetic waves, rooted in Maxwell’s Equations 1. Maxwell's Equations and Potentials Fundamental Equations:
Wave propagation through dilute plasma and ionized gases, including concepts like Plasma Frequency 3. Energy and Momentum of the EM Field Poynting Theorem:
Mathematical formulas describing the reflection and transmission of light at an interface. Polarization: