Does anyone know a code to compute surface wave velocities in anisotropic media? Or can anyone assist to implement such a code?
I have been following the literature, reducing the problem to the computation of Eigenvalues of Stroh's matrix. But I fail to extract exact velocities for the common Lithium Niobate cuts.
Thanks for your support.
Stefan Jacob.
Is this an SPP at the interface between LiNbO3 and a metal? Something else? If I understand your problem, I think it is a relatively simple simulation, although surface waves always seem to be bit more challenging. Can you describe your exact geometry?
It is a longer story if you want to develop your own code. If you do, you can learn the finite-difference method from Topics 6 and 7 at the first link below, then slab wavelength analysis using the finite-difference from Lectures 4a to 4f from the second link below, then finally incorporating anisotropy into your method using what is in Lecture 4i, also at the second link below.
https://empossible.net/academics/emp4301_5301/
https://empossible.net/emp5337/
The phase velocity of the surface wave is extracted from teh eigen-value of this analysis. Surface waves are calculated using the exact same numerical method as a slab waveguide. Feel free to contact me directly at rcrumpf(at)utep.edu.
Dear Raymond,
Thank you for your answer. I was able to extract the surface wave from coupled FEM simulations. This works well.
Now, I would like to find "analytical" solutions. At least, I would like reduce the problem to Stroh's Eigenvalue Problem [e.g. described in https://doi.org/10.1098/rspa.1985.0111]. This can be solved with an eigenvalue solver.
My code results in a solution for the wave speed, but the value is much smaller than what we know as the "true" solution. I attached a printout of my results. There must be a misconception, and I am looking for someone who has done a similar analysis and would be so kind to double-check my input.
Best regards,
Stefan Jacob.
Hi Stefan Jacob . See the following link: https://www.jstor.org/stable/79757
See also the following link: https://www.sciencedirect.com/topics/earth-and-planetary-sciences/anisotropic-media
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