Lectures related to Maxwell's Equations in Vacuum

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Computational Geomechanics: Unconfined Flow Analysis

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.

Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Square Potential Well

Covers the concept of a square potential well and the search for solutions using trigonometric functions.

Classical Field Theory: Lagrangian and Hamiltonian Formulation

Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.

Thermal Diffusion: Conservation and Fourier Law

Explains conservation of energy and Fourier's law in thermal diffusion.

Finite Difference Method: Approximating Derivatives and Equations

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Uniqueness of Electromagnetic Field Log in to Mediaspace to watch this video

Delves into the conditions for the uniqueness of solutions to Maxwell's equations in different media and sources, emphasizing the role of boundary conditions and material losses.

Versatile EM Wave Description Log in to Mediaspace to watch this video

Summarizes EM chapters, emphasizing wave description, reflection laws, and light intensity calculations.

Green Functions: Theory and Applications Log in to Mediaspace to watch this video

Explores the theory and applications of Green functions in classical electrodynamics, emphasizing the importance of choosing the right function based on boundary conditions.

Theory of Images and Equivalence Principle Log in to Mediaspace to watch this video

Explores the theory of images, equivalence principle, conductors, duality, and uniqueness in electromagnetism with practical examples.

Guided Propagation: Vector Components and Boundary Conditions Log in to Mediaspace to watch this video

Explores guided propagation modes, vector components, boundary conditions, dispersion diagrams, and electromagnetic field reconstruction.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions Log in to Mediaspace to watch this video

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

E-M Wave Propagation in Materials: Loss-less vs. Lossy Log in to Mediaspace to watch this video

Explores electromagnetic wave propagation in materials, including loss-less and lossy mediums, optical constants, and dispersion in glasses.

Poincaré - Friedrichs: Theorem and Kernel Inequality Log in to Mediaspace to watch this video

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Maxwell for Antennas: Electric and Magnetic Properties Log in to Mediaspace to watch this video

Explores electric and magnetic properties in antennas, including dielectric and magnetic properties, power analysis, Maxwell's equations, and vector potentials.

Quantum Mechanics: Power Series Solutions Log in to Mediaspace to watch this video

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Guided Propagation: Theory and Examples Log in to Mediaspace to watch this video

Discusses guided propagation for waves along a structure with invariant geometry and covers examples of TEM, TE, and TM modes.