By Baumann C.
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Extra info for A simple and fast look-up table method to compute the Exp and Ln functions
For g β (λ ) , the weight factor is the ratio of g m(λ ) to g m(λ p ) . So g β (λ ) is approximated by g β ( λ ) = g β (λ p ) g m (λ ) . 27) The spectral dependence of gT,β is similar to that of the gain coefficient g 'm , shown in Fig. 3. 23) with a normalization factor based on the inversion factor nsp in Eq. 22) gT , β ( λ ) = g T , β ( λ p ) nsp (λ ) nsp (λ p ) . 28) The choice of the weighting factors for the respective compression terms ensures that g β (λ ) for SHB has the inverse sign as the linear gain term g m(λ ) , while the gain compression due to CH does not .
Modeling is made based on . Values of all the parameters can be found in Appendix B. 3) Two Photon Absorption terms contributing to the gain compression are included in the gain terms of the input signals only - not in terms with ASE. In case of wavelength conversion, where there are one probe signal and one control signal, we only consider two types of two-photon absorption. The first case is the absorption of one photon from the probe signal and one photon from the control signal. The second case is the absorption of two photons from the control signal.
As the phase decreases the output signal experiences a red chirp (decrease of the frequency). At the maximum phase shift, the frequency chirp is 0. In the phase recovery regime, there is a blue chirp (increase of the frequency). Comparing Fig. 5(a) and (b), we see that a stronger input power induces a larger frequency chirp. In both input powers, the maximum red chirp is larger than the maximum blue chirp. The reason lies on the different carrier concentrations at these two points. At the maximum blue chirp, the carrier concentration has not yet recovered and the material gain is smaller than that at the maximum red chirp.