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Use Jordan matrices and generalized eigenvectors to implement the solution when single-scattering albedo = 1. #7

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dhjx1996 opened this issue Aug 3, 2023 · 0 comments

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dhjx1996 commented Aug 3, 2023

If the single-scattering albedo equals $0$, the coefficient matrix will not be diagonalizable. It is still possible to express the coefficient matrix $A = G J G^{-1}$, but $J$ will be a Jordan matrix and we will need to use generalized eigenvectors to solve the system of ODEs. Currently, users may use single-scattering albedos that are close to $1$ to approximate conservative scattering and PythonicDISORT will warn if a single-scattering albedo is too close to $1$.

We would like PythonicDISORT to instead use the special case solution if the single-scattering albedo is too close to $1$. This may render the joblib parallelization obsolete.

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