# Useful Tutorials for Electromagnetics

The documents linked here were all created by me. Some of them were created for my own personal reference in order to solve a specific problem. Others were created as lecture notes while teaching at the University of Utah. All of them contain useful information with respect to electromagnetic theory and numerical methods that are difficult to find in most textbooks. You are free to use them for personal reference, but please be sure to give credit/thanks for any derivative works.

Solving the Generalized Poisson Equation with the Finite-Difference Method

A tutorial-level introduction to the finite-difference method as a solution tool for the generalized Poisson equation. Useful for simple problems in electrostatics, magnetostatics, and quasi-statics.

Solution to the Static Charge Distribution on a Thin Wire Using the Method of Moments

These are the lecture notes I created for introducing the method of moments to graduate students. In retrospect, the thin-wire problem is not the most well-behaved system to solve because it becomes numerically unstable as more samples are added to the solution. However, it does serve as a simple example from which to explain the techniques.

Wave Propagation through a Layered Stack

Solves for the total electric and magnetic field intensity due to plane wave excitation of a stack of arbitrary dielectric layers.

Introduction to Numerical Integration

Numerical integration is a surprisingly rich field. While there is plenty of good information on this stuff around the internet, you will be hard-pressed to find a decent analysis of certain error-bounds. That's why I put this together for my students.

Introduction to the Finite-Difference Time-Domain (FDTD) Algorithm

These notes were written as an information supplement to a programming lab on transmission line theory. While most FDTD references apply themselves strictly with Maxwell's equations, these notes are applied to the telegrapher's equations. Interestingly, the mathematical form is exactly the same as the 1D FDTD solution derived from Maxwell's equations anyway. So pretty much everything in this introduction applies equally well to a 1D electromagnetic wave simualtion.

Solar Cell Fabrication Procedure

I wrote this document as a TA for ECE/MSE 5074 (Introduction to Photovoltaics). For the lab session, we needed to fabricate crude solar cells out of silicon wafers, but unfortunately had no official procedure to work with. This forced us to crudely piece one together from student reports over the prior year. After running through a few iterations, we finally found a process that generated decent photovoltaic cells. We also found that theoretical information on the fabrication processes were hard to come by, making it hard to explain each step to the students. I therefore wrote this document as a sort of step-by-step guide to explain each step and the physical theories behind them. It includes lots of great information that is hard to find in one place.