For type-0 ppKTP SPDC, the optimal pump and collection focal parameters that maximize pair-collection rate depend strongly on the LG mode indices, so one pump focus cannot simultaneously optimize multiple modes.
We confirm that the pair collection rateRc is also maximized under this condition
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Optimizing brightness of SPDC source in Laguerre-Gaussian modes using type-0 periodically-poled nonlinear crystal
For type-0 ppKTP SPDC, the optimal pump and collection focal parameters that maximize pair-collection rate depend strongly on the LG mode indices, so one pump focus cannot simultaneously optimize multiple modes.