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gregmoille / pyLLE

Lugiato Lefever Equation Solver in Python/Julia
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Question about format for resonator dispersion #41

Closed DanHickstein closed 1 year ago

DanHickstein commented 1 year ago

In the example iPython notebook, the dispersion is plotted and the "LLE" dispersion is similar, but not exactly the same as the dispersion from the FEM model. How is the dispersion being used by the LLE? I would have expected that using the dispersion from the FEM model for each resonator mode would have been sufficient. Is the idea to smooth the FEM-derived dispersion?

DanHickstein commented 1 year ago

(also, the dashed orange "fit" line is not seen in the graph in the iPython notebook)

gregmoille commented 1 year ago

Actually the LLE fit the Dint from the list of resonance from the FEM, using a spline function. The idea behind is to be able to extrapolate to solve a domain which is larger than the FEM simulation (for instance spending up the FEM once normal dispersion and wont change, but of interest for LLE accuracy) . The discrepancy I think should be minimal but there might be better function than spline to fit it

DanHickstein commented 1 year ago

Ah, okay, this makes sense. The spline seems to do a reasonable job.