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Here's my final figure showing the scattering efficiency of a sphere in Mie scattering, with the different multipole contributions illustrated. I ended up citing Wikipedia because I could not find a better choice of parameters than theirs!
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(Monty Python Voice) "I think this has something to do with optics"
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I don't really understand this but I do recognise the term Mie scattering, which I rather fancy is worth a like for the both of us.
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Is the sphere diameter some simple multiple of 820 nm? I've never seen anything quite like this before