# FDTD Lectures

Here is a collection of YouTube FDTD lectures by Dr. Cynthia Furse, Associate Vice President for Research, University of Utah, Professor of Electromagnetics, Director, Center of Excellence for Smart Sensors. Dr. Cynthia Furse Homepage.

The entire series of over 200 lectures on electromagnetics, including introductory material on Maxwell’s equations, finite difference frequency domain techniques, Method of Moments, and so on are located here: FDTD YouTube lectures

## Lecture 18-3: FDTD Time to Frequency Domain 2E2U Method

Using the two-equation two-unknown (2E2U) method to compute the magnitude and phase of a steady-state sinusoid from an FDTD simulation.Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=1UbTw9bpEts

## Lecture 18-2: FDTD Time to Frequency Conversion DFT

Using the discrete fourier transform (DFT) to compute the magnitude and phase of a steady-state sinusoid from an FDTD simulation.Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=eOY5te9SyME

## Lecture 18-1: FDTD Time to Frequency Conversion

How to calculate the reflection coefficient of a quarter-wave transformer as a function of frequency. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=2ekVXpaq69s

## Lecture 17-5: Programming the Mur Boundary

How to implement the Mur boundary condition. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=tIXj3v-nAF0

## Lecture 17-4: Mur Boundary Condition for 1D FDTD

Derivation of the Mur (absorbing) boundary condition for the 1D FDTD. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=fD_C90c9yR4

## Lecture 17-3: Second-Order Absorbing BC for FDTD

Derivation of the second-order absorbing boundary conditions for FDTD. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=bnGuE85Jg8Q

## Lecture 17-2: First-Order Absorbing BC for FDTD

Derivation of the first-order absorbing boundary condition for FDTD. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=FPCLAoS6MrY

If there are lectures 17-1 and 16, I couldn’t find them on YouTube.

## Lecture 15: Stability Conditions With the FDTD Algorithm

Stability with FDTD. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=z8pWq57rm_Y

## Lecture 14-5: How to Run the FDTD Algorithm

Derivation of the FDTD update equations in the 1-dimensional case. Introduce an electric field source, then solve for the E-field and H-field. Apply a boundary condition, and then repeat the loop. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=AZ9FCnZ7Lq4

## Lecture 14-4 FDTD TEz 2D

ECE6340 ECE5340 FDTD Finite difference time domain yee cell e-field electric field

https://www.youtube.com/watch?v=BEsFb-pYM20

## Lecture 14-3: E-field Update Equation from Ampere’s Law

A derivation of the electric field update equation from Ampere’s Law. We use the Yee Cell to discretize the differential equation into a difference equation and solve for the “future” state of the system. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=dpjhBdsou50

## Lecture 14-2: Discretizing the FDTD grid

How to use the Yee Cell to derive a difference equation for the magnetic field. Begin by discretizing Faraday’s Law into a difference equation and then solve for the “future” state of the system. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=BrHT9XvpcF0

## Lecture 14-1: Derivation of the FDTD Equations

Introduction to the finite-difference time-domain (FDTD) algorithm. Begin with Faraday’s law and Ampere’s law, then convert the vector differential equations into three coupled scalar equations. Written notes and a screen shot of the board: www.ece.utah.edu/~ece6340

https://www.youtube.com/watch?v=m2mVL_idg4o

## See Also

- Fdtd Main Index Page (with example code)
- Maxwell’s Equations
- The Yee Algorithm
- 2D UPML Algorithm and Theory
- The 2D FDTD Wave Algorithm and Theory
- The 2D FDTD Wave Hz Algorithm
- Numerical Methods
- Spherical and Cartesian coordinates
- Vector Algebra
- Fundamental and Derived Units
- Glossary
- FDTD References
- FDTD Resources