Course Paperwork

• Syllabus

Homework

• • Homework 1 MATLAB Basics
    • Getting Started with MATLAB
  • Homework 2 Graphics And Grids
  • Homework 3 1D FDTD Update Equations
  • Homework 4 1D FDTD Implementation
  • Homework 5 1D FDTD TFSF And FFT
  • Homework 6 1D FDTD Benchmark
  • Homework 7 3D FDTD Update With PML
  • Homework 8 2D FDTD Ez Implementation
  • Homework 9 2D FDTD Periodic Ez Implementation
  • Homework 10 Gratings
  • Homework 11 Waveguide Circuit

• Final Project

Lecture Notes (PDF)

• Lecture 0 Rules And Procedures
• Lecture 1 Introduction
• Lecture 2 from CMEE – MATLAB Intro & Graphics
• Lecture 3 from CMEE – Building Geometries Into Data Arrays
• Lecture 4 Electromagnetics And FDTD
• Lecture 5 Formulation Of 1D FDTD
• Lecture 6 Implementation Of 1D FDTD
• Lecture 7 Learning From 1D FDTD
• Lecture 8 Review And Walkthrough Of 1D FDTD
• Lecture 9 Examples Of 1D FDTD
• Lecture 10 Enhancing 1D FDTD
• Lecture 11 Formulation Of 2D FDTD
• Lecture 12 Windowing And Grid Techniques
• Lecture 13 The Perfectly Matched Layer
• Lecture 14 3D Update Equations With PML
• Lecture 15 Implementation Of 2D FDTD
• Lecture 16 Gratings And The Plane Wave Spectrum
• Lecture 17 Power Flow And PML Placement
• Lecture 18 Metals And Alternative Grids
• Lecture 19 Periodic Structures In FDTD
• Lecture 20 Waveguide Circuit Analysis
• Lecture 21 Grating Simulation Walkthrough
• Lecture 22 Waveguide Simulation Walkthrough
• Lecture 23 3D FDTD
• Lecture 24 Scattering Analysis
• Lecture 25 Advanced FDTD Algorithms
• Lecture 26 Final Lecture

Recorded Lectures on YouTube

Note: The notes above may differ from the recordings due to revisions made after they were recorded.

• Lecture 0 — Rules and policies
• Lecture 1 — Introduction to FDTD
• Lecture 2 — MATLAB introduction and graphics
• Lecture 3 — Building geometries in data arrays
• Lecture 4 — Review of EM and Introduction to FDTD
• Lecture 5 — Formulation of 1D FDTD
• Lecture 6 — Implementation of 1D FDTD
• Lecture 7 — Learning from 1D FDTD
• Lecture 8 — Review and walkthrough of 1D FDTD
• Lecture 9 — Examples of 1D FDTD
• Lecture 10 — Enhancing 1D FDTD
• Lecture 11 — Formulation of 2D FDTD without a PML
• Lecture 12 — Windowing and grid techniques
• Lecture 13 — The Perfectly Matched Layer
• Lecture 14 — 3D update equations with a UPML
• Lecture 15 — Implementation of 2D FDTD
• Lecture 16 — Gratings and the plane wave spectrum
• Lecture 17 — Power flow and PML placement in FDTD
• Lecture 18 — Metals and alternative grids
• Lecture 19 — Periodic structures in FDTD
• Lecture 20 — Waveguide analysis using FDTD
• Lecture 21 — Grating simulation walkthrough
• Lecture 22 — Waveguide simulation walkthrough
• Lecture 23 — 3D FDTD

MATLAB Sessions for 1D FDTD

• Session 1 — Basic 1D-FDTD Engine
• Session 2 — Add a simple Gaussian soft source
• Session 3 — Add a perfectly absorbing boundary condition
• Session 4 — Add a total-field/scattered-field source
• Session 5 — Add reflectance and transmittance calculation
• Session 6 — Add a device

Other Resources

• • Getting Started with MATLAB
  • Stereo image of a 3D Yee cell. Adjust the image size until it is just under 10 cm wide.
  • Understanding the Finite-Difference Time-Domain Method (E-Book)
  • Animation for justification of spacer regions before the PML

• • FDTD MATLAB Files

• • • draw1d.p — This function is used in one-dimensional FDTD to efficiently visualize the electric and magnetic field superimposed onto the materials across the entire grid.
    • draw2d.p — This function is used in two-dimensional FDTD to efficiently visualize the field superimposed onto the materials across the entire grid.
    • polyfill.p — This function creates arbitrary polygons on a 2D array given the list of vertices around the perimeter of the polygon.
    • polyfill_demo.m — This MATLAB program demonstrates the use of polyfill() to create an arbitrary polygon on a 2D grid.
    • flagcmap.m — This function creates colormaps for the country flags of the members of the EM Lab.
    • test_hw8_prob1.p — This function is used in Homework #8 to test the values assigned to the PML conductivity terms. See Homework #8 for details.
    • test_hw8_prob2.p — This function is used in Homework #8 to test the values calculated in the update coefficients. See Homework #8 for details.

 

Note: The above items are protected function files and have a “.p” extension. They work just like “.m” files, but they cannot be opened to view the code inside them.