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We should test for accuracy and convergence too (rather than just code correctness).
IIRC, the original paper has a few different examples with effective indices, right? We can run the same problem at various resolutions and ensure they converge. (If we ever add subpixel smoothing, we can use the same tests to check).
As a first test, it might be good to just use a few examples from Lukas's book (lots of replication already). ie a simple strip and rib waveguide, qTE and qTM, for a couple of different wavelengths.
Tests are needed mainly for:
But could also be useful for other features currently being implemented.
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