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1. ### Laser gain and the saturation effects

Hello, I study laser physics, using "Laser Physics" by Eberly and Milloni. I am confused regarding the notion of gain and the saturation effect. According to the book, the gain is defined as ## g(v) = \dfrac{g_o(v)}{1+I_v/I^{sat}_{v}} ## where ## I^{sat}_{v}## is the saturation intensity and...
2. ### A Taylor expansion for a nonlinear system and Picard Iterations

Yes. It's in this section.

10. ### A Badly Scaled Problem

Thank you very much for your response. My set of equations is  \dfrac{dP_{wl}}{dt}= 5.8858*10^8+2.2071*10^8*P_{es}-4.0833*10^{9}*P_{wl}+1.8625*10^9*P_{es}*P_{wl} \\ \dfrac{dP_{gs}}{dt}=...
11. ### A Badly Scaled Problem

Hello guys, I try to use the Newton - Chord technique in order to solve a nonlinear system and find it's equilibrium points.This method requires the inverse of the Jacobian Matrix of the nonlinear system. After the linearization around the given starting point x0, I create a linear...
12. ### Applied Book recommendations for Bifurcation Diagrams

Hello my friends, I am studying excitability in quantum dot lasers and I see a lot of bifurcation diagrams with saddle node bifurcations, Hopf bifurcations, homoclinic bifurcations, PD bifurcations etc. I know some basic things about non-linear systems but I have never met the notion of...