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Comparable l and n Issue #8

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ghost opened this issue Aug 23, 2018 · 0 comments
Open

Comparable l and n Issue #8

ghost opened this issue Aug 23, 2018 · 0 comments
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@ghost
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ghost commented Aug 23, 2018

For a region of the complex frequency plane, the root finding algorithm cannot find the frequency corresponding to the specified l and n.
This region corresponds to 6 <= n, 3 <= l <= n, approximately, and is due to the presence of singularities in the Wronskian which drive the root finding algorithm away from it's (poor) initial guess and to the wrong root.

Possible fixes:
i) Improve initial guess in this region
ii) Within this range of l and n, cycle through l and n, generating lists which can be used to eliminate roots corresponding to indices other than the ones we're interested in.
iii) Find a way to specify, in general, the region that FindRoot should search, preventing FindRoot from being driven towards the incorrect root (linked to (i))

@ghost ghost added the bug label Aug 23, 2018
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