Phase modulation of the signal laser into multiple laser-lines is one of the common methods to suppress the stimulated Brillouin scattering (SBS) effect in high power narrow linewidth fiber amplifiers. In order to achieve optimal effect, the multiple laser-lines should have equal amplitudes. In this paper, the phase modulation signal we employed is the sum of a finite number of sinusoidal signals with different initial phases and different weights. The stochastic parallel gradient descent (SPGD) algorithm is used to search for the optimal initial phases and weights. Through numerical simulation, we obtain homogeneous symmetrical spectra with 11, 19 and 29 lines whose mean square errors of power density are less than 3%.
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