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fem-waveguide

A 2D Finite-Element field profile solver for a graduate CEM course offered at Purdue University. At the request of the instructor, the course details and project report have been removed from this repository. Please reach out if you are interested in the course details and project report.

This codebase, as well as others from this class, are not designed to be user-friendly as they were only intended to be run by myself for the purpose of a class project. With that said however all code is reasonably documented to the standards outlined in this course.

Requirements

If you do not have it installed already, you will first need to download and install Python.

Next, you will need to install MeshIO, NumPy and SciPy all of which are dependencies for this project. To install said packages, run the following command in your terminal of choice.

Windows

pip install numpy scipy meshio

Linux/Mac

pip3 install numpy scipy meshio

Running

All project configuration occurs in ./src/main.py. The model takes an input mesh using the ABAQUS .inp format with boundary elements contained in a nodeset. It is recommended to use Coreform Cubit for the generation of these meshes. Please see ./rectangle.inp as an example mesh. To replace with your own mesh, simply change the path in the Mesh constructor within `main.py.

Once configured, the model can be run from the project root with one of the following terminal commands.

Windows

python ./src/main.py

Linux/Mac

python3 ./src/main.py

Data

As configured in main.py, the model currently finds the first 10 eigenvalues of both the TE and TM modes as well as their corresponding column indices in the eigenvector array.

Additional plotting / analysis code can be placed below the existing code in main.py to view / analyze these field profiles. These commands have been removed in this version as they are not critical to the functionality of the model.

Example Results

Below are several labeled figures from the report.

  1. Example Mesh of a Circular Waveguide viewed in Coreform Cubit Example Circular Mesh

  2. TE01 H-Field Profile in Rectangular Waveguide TE01 Rectangular Profile

  3. Comparison of Theoretical and Simulated Dispersion Plot for Rectangular Waveguide Rectangular Waveguide Dispersion Plot

  4. TE01 H-Field Profile in Circular Waveguide TE01 Rectangular Profile

  5. Modeled Dispersion Plot for Circular Waveguide Rectangular Waveguide Dispersion Plot

  6. TE01 H-Field Profile in Ridged Rectangular Waveguide TE01 Ridged Rectangular Profile

  7. Comparison of Theoretical Non-Ridged and Simulated Ridged Dispersion Plot for Rectangular Waveguide Ridged Rectangular Waveguide Dispersion Plot