How to use 3D FDTD code for 1D problem?

[confi999]

Hello,
I have a three dimensional FDTD code. The problem I have for simulation is one dimensional. How can I use this 3D FDTD code for the 1D problem. The 1D problem is like this: in one-dimension half of the problem space is filled with a dielectric medium and the other half is free-space. A plane wave is incident on the dielectric medium from the free-space. I need to calculate the electric field at the free space-dielectric interface. Using this field and the incident field I need to calculate the reflection coefficient (in frequency domain). What modifications do I need to make to the 3D FDTD code for this 1D problem? Do I need to re-write the whole code based on 1D FDTD equations? Please advise. Thank you very much.

 

[Achy47]

Hi there,

Thank you for reaching out with your question. I understand that you have a 3D FDTD code and need to use it for a 1D problem. The first thing you will need to do is modify your code to only consider one dimension. This means that you will need to remove any calculations or operations that are specific to the other two dimensions.

Next, you will need to adjust your boundary conditions to match the 1D problem you described. In this case, you will have a dielectric medium on one side and free-space on the other. This means that you will need to set your boundary conditions accordingly to simulate this scenario.

Additionally, you will need to adjust your source to only emit in one dimension, as your plane wave is only incident on the dielectric medium in one direction. You may also need to modify the material properties in your code to match the dielectric medium you are using in your 1D problem.

It is possible that you may need to modify your code further, depending on the specific details of your 3D FDTD code and the 1D problem you are trying to solve. However, these are the main modifications that you will need to make in order to use your 3D FDTD code for a 1D problem.

I would also recommend consulting with other experts in the field or referring to relevant research papers or textbooks for guidance on how to modify your code for the 1D problem. I hope this helps and wish you the best of luck with your simulations.