Take your FDTD skills to the next dimension
You have learned the theory and implementation of 1D and 2D finite-difference time-domain (FDTD). Now it is time to take your skills to the next level.
In this code heavy course, you will learn how to formulate and implement a fully three dimensional FDTD code in MATLAB. You will finish the course with the ability to simulate metamaterials, photonic crystals, frequency selective surfaces, metasurfaces, diffraction from gratings, and more. You will learn how to implement convolutional perfectly matched layers at all boundaries, control polarization of your sources, and launch waves from any angle. In addition to a developing a powerful generic 3D FDTD code capable of simulating anything, you will learn how to improve the efficiency of your 3D code for the specific purpose of simulating periodic structures.
Examples covered in this course include calculating and plotting the band diagram of a photonic crystal, calculate diffraction from a crossed grating, simulate transmission and reflection from a photonic crystal slab, simulate transmission and reflection from a frequency selective surface, and calculate the effective properties of a left-handed metamaterial. You will see how to model metals as perfect electric conductors, incorporate conductivity of metals and loss in dielectrics, and incorporate dielectric anisotropy into your simulations.
You will need to complete the EMPossible 1D and 2D FDTD courses before starting this course. To keep the 3D FDTD course concise, topics from 1D and 2D course are not repeated. Some of the topics from the 1D and 2D courses not covered in the 3D course includes introducing the Yee grid scheme, normalizing the electromagnetic parameters, finite-difference approximation of Maxwell’s equations, formulation of the update equations, derivation of the perfectly matched layer absorbing boundary, introduction to the total-field/scattered-field technique, the 2x grid technique for building devices on the grid, and on-the-fly Fourier transforms.
If you took the 1D and/or 2D courses more than a year ago and would like to restore access to the courses for review, please email [email protected] with your request. We are always happy to help you!
Before taking this course, please complete the prerequisite courses "One-Dimensional Finite-Difference Time-Domain with MATLAB" and "Two-Dimensional Finite-Difference Time-Domain (FDTD) with MATLAB". Many background concepts are covered in the prerequisites that are needed to be successful in this course.
Learn the FDTD method in one dimension and how simulate numerous EM and optical devices. Enjoy the first three chapters entirely free! Purchase the full course to get all lectures, downloadable notes, MATLAB codes, and multiple simulation examples.
$295
Visually learn the formulation and implementation of two-dimensional finite-difference time-domain (FDTD). See every line of code in MATLAB explained by the EMProfessor.
$595
Lecture 1a - Course Introduction
FREE PREVIEWNotes 1a - Course Introduction
FREE PREVIEWLecture 1b - Key Concepts from 1D and 2D FDTD
FREE PREVIEWNotes 1b - Key Concepts from 1D and 2D FDTD Courses xxx
Lecture 1c - FDTD in Three Dimensions
FREE PREVIEWNotes 1c - FDTD in Three Dimensions
Lecture 1d - Best Practices for 3D FDTD (or any method)
Notes 1d - Best Practices for 3D FDTD
Lecture 2a - Electromagnetic Waves and Polarization
Notes 2a - Electromagnetic Waves & Polarization
Lecture 2b - Diffraction from Crossed Gratings
Notes 2b - Diffraction from Crossed Gratings
Lecture 2c - Parameter Retrieval from Metamaterials
Notes 2c - Parameter Retrieval from Metamaterials
Lecture 3a - Grid Strategies for 3D Simulations
Notes 3a - Grid Strategies for 3D Simulation
Lecture 3b - Visualizing 3D Data
Notes 3b - Visualizing 3D Data
Lecture 3c - Calculating Photonic Bands Using FDTD
Notes 3c - Calculating Photonic Bands Using FDTD
Lecture 3d - Revised Update Equations for Doubly-Periodic Strutures
Notes 3d - Revised Update Equations for Doubly-Periodic Structures
Lecture 3e - TF/SF for Doubly-Periodic Structures
Notes 3e - TF/SF for Doubly-Periodic Structures
Step 1a - Header for Basic 3D FDTD Engine
Step 1b - Dashboard for Basic 3D FDTD Engine
Step 1c - Grid for Basic 3D FDTD Engine
Step 1d - Device & Source for Basic 3D FDTD Engine
Step 1e - Initialization for Basic 3D FDTD Engine
Step 1f - Part 1 of Main Loop for Basic 3D FDTD Engine
Step 1g - Part 2 of Main Loop for Basic 3D FDTD Engine
Step 1h - Part 3 of Main Loop for Basic 3D FDTD Engine
Step 2 - Simple Dipole Source
Step 3 - Periodic Boundary Conditions
Step 4a - Setup for CPML
Step 4b - Conductivities for CPML
Step 4c - Update Coefficients with CPML
Step 4d - Initialize Integrations for CPML
Step 4e - B Field Update for CPML
Step 4f - D Field Update for CPML
Step 5a - Setup 1 of TFSF
Step 5b - Setup 2 for TFSF
Step 5c - Main Loop for TF/SF
Step 6 - Add a Device
Lecture 5a - Sawtooth Diffraction Grating
Notes 5a - Sawtooth Diffraction Grating
Step 7a - Part 1 of Simplifying the Code
Step 7b - Part 2 of Simplifying the Code
Step 8a - Part 1 of Calculating Transmission and Reflection
Step 8b - Part 2 of Calculating Reflection and Transmission
Step 8c - Graphics Update for Calculating Reflection and Transmission
Step 9a - Benchmark with Sawtooth Grating Along X
Step 9b - Benchmark with Sawtooth Grating Along Y
Lecture - Simple Cubic Photonic Crystal
Notes - Simple Cubic Photonic Crystal
Step 3.0 - FINDBANDS() Function
Step 3.1 - Add Device
Step 3.2 - Add Sources, Detectors, and PSD Calculations
Step 3.3 - Modify Periodic Boundary Conditions
Step 3.4a - Create List of Bloch Wave Vectors
Step 3.4b - Iterate FDTD to Build Photonic Band Diagram
The paid course includes access to all lectures, MATLAB sessions and downloadable notes for all lectures for one year after enrollment.
One time payment
