09 January 2019 5 384 Report

Hi,

I'm modeling rate equations describing an optical feedback effect back into laser cavity with a target in harmonic motion, to get its steady-state laser output. (lags are in harmonic motion) But the problem shows that dynamic models cannot provide the same tilt fringes same as steady-state equations derived from dynamic equations.

I use MATLAB solvers (dde23, ddesd) to numerically solve these dynamic equations to get its steady-state solutions. However, it fails to obtain the same simulated waveform as one I obtain from solving its steady-state equations directly.

To attempt to obtain its steady-state solutions from the dynamic models of time-dependent lags, I have tried MATLAB and Julia but fails:

dde23 of MATLAB: to update its initial conditions in a for loop for each constant lags;

ddesd of MATLAB: directly set time-dependent lags;

Julia's dde package: fails to get laser lasing;

For Mathematica, I find it doesn't support time-dependent lags till now;

For Python, Pydelay package use the same Bogacki-Shampine method in dde23;

Could anyone give any suggestion on this issue? I have spent a bunch of time to deal with this issue but no progress. TAT

Any suggestion is appreciated.

Thank you very much!

Xiao

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