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In this paper, through a semi-analytical model, we demonstrate the spectral optimization of Stokes channels for cascaded multi-wavelength Brillouin fiber lasers. Here we develop an improved version of an earlier model, introducing the erbium-doped fiber amplifier gain saturation into the mathematical formalism of the laser, making our model more accurate. Our results reveal that with the proper selection of laser component parameters, it is possible to increase the number of generated Stokes channels significantly and generate them with high flatness. Specifically, 75 and 69 Stokes channels were generated within a 3.7 and 3 dB range, respectively.

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