Multimode fibers provide a promising platform to efficiently suppress Stimulated Brillouin Scattering (SBS) by controlling input excitation. We demonstrate SBS suppression can be formulated as a problem of optimization of the input power distribution among the fiber modes. We provide a method to obtain the optimal power distribution based on linear programming. The SBS growth rate depends linearly on the input power distribution, allowing us to map SBS suppression into a constrained linear optimization, solvable numerically. We show that for a highly multimode step index fiber, optimal input excitation gives 9.5 times higher SBS threshold compared to fundamental mode-only excitation.
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