How to fit a set of data where one of the fitting parameters decays exponentially?
There are five parameters in the fitting function, we can first fix one of the parameters according to a general knowledge. reviously, we fitted multiple datasets (e.g., time-resolved spectra at different pump powers) independently. Now, we need to perform a global fit where the cavity linewidth (Γ_cav) must decay exponentially across all datasets. Our model is a two-coupled oscillator modeal, where the resonance energy and linewidth of emitters and cavity, and their coupling strength are obtained parameters. Could you advise on the general strategy for setting initial values in this case?Perhaps, could we implement a loop. In each iteration for a new dataset, the intial guess for the cavity linewidth (Γ_cav) would be perdicated on the exponential decay function using the parameters estimated fromthe already fitted datasets?There are five parameters in the fitting function, we can first fix one of the parameters according to a general knowledge. reviously, we fitted multiple datasets (e.g., time-resolved spectra at different pump powers) independently. Now, we need to perform a global fit where the cavity linewidth (Γ_cav) must decay exponentially across all datasets. Our model is a two-coupled oscillator modeal, where the resonance energy and linewidth of emitters and cavity, and their coupling strength are obtained parameters. Could you advise on the general strategy for setting initial values in this case?Perhaps, could we implement a loop. In each iteration for a new dataset, the intial guess for the cavity linewidth (Γ_cav) would be perdicated on the exponential decay function using the parameters estimated fromthe already fitted datasets? There are five parameters in the fitting function, we can first fix one of the parameters according to a general knowledge. reviously, we fitted multiple datasets (e.g., time-resolved spectra at different pump powers) independently. Now, we need to perform a global fit where the cavity linewidth (Γ_cav) must decay exponentially across all datasets. Our model is a two-coupled oscillator modeal, where the resonance energy and linewidth of emitters and cavity, and their coupling strength are obtained parameters. Could you advise on the general strategy for setting initial values in this case?Perhaps, could we implement a loop. In each iteration for a new dataset, the intial guess for the cavity linewidth (Γ_cav) would be perdicated on the exponential decay function using the parameters estimated fromthe already fitted datasets? transferred MATLAB Answers — New Questions









