Simple Numerical Integration

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Interpolating a Function

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Gauss Quadrature

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Line Charge Problem

Preview 18:45

Solving the Integral Equation

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Basis Functions

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Helmholtz Equation

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Solving Helmholtz Equation

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Huygen's principle & the Extinction theorem

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Formulating the integral equations

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Conclusions of surface integral equations

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Motivations for Green's functions

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A one-dimensional example

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2-D wave example : finding solution

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2D wave example: boundary conds

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2-D example : Evaluating Constants - Part 1

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2-D example : Evaluating Constants - Part 2

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3-D example

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Motivation for MoM

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Linear Vector Spaces

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Formulating Method of Moments

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Surface Integral Equations: Recap

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Surface Integral Equations: Evaluating the Integrals part 1

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Surface Integral Equations: Evaluating the Integrals part 2

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Surface Integral Equations: Conclusion

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Volume Integral Equations:Setting Up

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Volume Integral Equations:Solving part 1

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Volume Integral Equations:Solving part 2

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Volume Integral Equations:Summary

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Surface integral equations for PEC

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Surface v/s volume integral equations

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Definition of radar cross-section

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Computational Considerations

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History & Overview of the FEM

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Basic framework of FEM

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1D Basis Functions

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2D Basis Functions

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Weak form of 1D-FEM Part-1

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Weak form of 1D-FEM Part-2

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Generating System of Equations for 1D FEM

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1D wave equation: Formulation

Preview 08:39

1D Wave Equation: Boundary Conditions

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1D Wave Equation: Basis and testing functions

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1D Wave Equation: Matrix assembly

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2D FEM Shape Functions

Preview 18:30

Converting to Weak Form (2D FEM)

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Radiation Boundary Condition

Preview 22:34

Total field formulation

Preview 08:56

Scattered field formulation

Preview 22:34

Comparing total and scattered field formulation

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Matrix assembly - Part 1

Preview 15:44

Matrix assembly - Part 2

Preview 22:54

Computing Far Field

Preview 12:32

Numerical Aspects of 2D FEM

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Summary of FEM Procedure

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Introduction to FDTD

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2D FDTD Formulation : Stencil

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2D FDTD Formulation : Time Stepping

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2D FDTD Formulation : Divergence Conditions

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Stability Criteria - Part 1

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Stability Criteria - Part 2

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Stability Criteria - Higher Dimensions

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Accuracy Considerations - 1D

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Accuracy Considerations - Higher Dimensions

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Dealing with non-dispersive dielectric media

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Dealing with dispersive dielectric media

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Debye Model - Part 1

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Debye Model - Part 2

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Absorbing Boundary Conditions - 1D

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Absorbing Boundary Conditions - 2D

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Implementing ABC in FDTD

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Failure of ABC

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Perfectly Matched Layers(PML) - Introduction

Preview 14:21

Implementing PML using Coordinate Stretching

Preview 21:58

PML - Phase Matching

Preview 15:59

PML - Tangential Boundary Conditions

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Perfectly Matched Interface

Preview 07:55

PML theory - Summary

Preview 16:26

Implementing PML into FDTD - Part 1

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Implementing PML into FDTD - Part 2

Preview 18:25

Sources in FDTD - Currents

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Sources in FDTD - Part 2

Preview 23:26

Summary of FDTD

Preview 06:33

MEEP : FDTD in action

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Inverse Problems - Introduction

Preview 21:17

Inverse Problems - Mathematical Formulation

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Inverse Problems - Challenges

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Inverse Problems - Non-Linearity

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Inverse Problems - Summary

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Antennas - Potential formulation

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Antennas - Hertz Dipole - Part 1

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Antennas - Hertz Dipole - Part 2

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Antennas - Radiation Patterns

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Antennas - Motivation for CEM

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Antennas - Pocklington's Integral Equation - Part 1

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Antennas - Pocklington's Integral Equation - Part 2

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Antennas - Source Modeling

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Antennas - Circuit Model

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Antennas - MoM details

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Antennas - Mutual Coupling - Part 1

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Antennas - Mutual Coupling - Part 2

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Hybrid Methods - Motivation

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Finite Element-Boundary Integral - Part 1

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Finite Element-Boundary Integral - Part 2

Preview 11:43

Finite Element-Boundary Integral - Part 3

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