Non-Uniform Waveguide: Simplifying Problem Solutions

[cowrebellion]

Hello everyone,

I'm trying to solve a problem but I want to find a simpler way if possible. The basic idea is that I would have one waveguide, for simplicity I will just take a slab waveguide. However instead of being constant there is a point at which the distance between the slab suddenly changes. What is the best way to solve for this.

I was thinking of solving for the fields in each area and then trying to work out the coupling between the modes at either side of the discontinuity. But this seems like it would get very difficult very quickly when I go to stranger geometries.

Can anyone think of better way to solve for this? Any ideas are welcome :)

Thanks,
Mark

 

[eljose79]

Hello Mark,

Thank you for sharing your problem with us. I understand the importance of finding simpler solutions to complex problems. In this case, I would suggest looking into the use of numerical methods such as Finite Element Analysis (FEA) or Finite Difference Time Domain (FDTD) methods.

These methods allow for the simulation of wave propagation in different geometries, including discontinuities. By inputting the relevant parameters and boundary conditions, you can obtain the fields and mode coupling at the discontinuity. FEA and FDTD are widely used in the field of waveguides and have been proven to be effective in solving similar problems.

Another approach could be to use analytical methods such as perturbation theory. This involves approximating the discontinuity as a small perturbation and solving for the fields using perturbation theory. However, this method may not be suitable for more complex geometries.

I hope this helps. Best of luck with your research!