Lectures related to Rectangular Waveguides: TE and TM Modes

Boundary Conditions and Basis Decomposition

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

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Groundwater Flow: Laplace Equation and Boundary Conditions

Explores the Laplace equation, harmonic potential, and boundary conditions in groundwater flow, with practical examples.

Numerical Groundwater Flow Resolution

Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.

Square Potential Well

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

Computational Geomechanics: Unconfined Flow

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

Finite Difference Method: Approximating Derivatives and Equations

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

Separation of Variables: Spatial Problems

Explores the method of separation of variables for solving spatial problems with second-order ODEs, emphasizing the significance of boundary conditions.

Propagation Modes in Waveguides Log in to Mediaspace to watch this video

Explores the propagation modes in waveguides, discussing TE and TM modes, field distribution, and Bessel functions.

Rectangular Waveguides: TE Modes Log in to Mediaspace to watch this video

Covers TE modes in rectangular waveguides, including boundary conditions and dispersion diagrams.

Rectangular Waveguides: TM and TE Modes Log in to Mediaspace to watch this video

Explains the propagation modes in rectangular waveguides for TM and TE modes.

Rectangular waveguides: TM Modes Log in to Mediaspace to watch this video

Covers the propagation modes in rectangular waveguides, focusing on TM modes and discussing basic equations and solutions.

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.

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.

Linear PDEs of Order 2 Log in to Mediaspace to watch this video

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Analysis IV: Laplace Equation Solutions Log in to Mediaspace to watch this video

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Poisson Problem: Fourier Transform Approach Log in to Mediaspace to watch this video

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Uniqueness Results for Poisson Equation Log in to Mediaspace to watch this video

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Boundary Conditions in Harmonic Functions Log in to Mediaspace to watch this video

Explains harmonic functions and their boundary conditions, including Dirichlet and Robin conditions.

Laplace Equation in Polar Coordinates Log in to Mediaspace to watch this video

Explores the Laplace equation in polar coordinates and its solution process through separation of variables.