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We present a novel approach to intrinsically mitigate the heat dissipated in Raman lasers due to the pump-Stokes quantum defect. We explain the principle of this so-called coherent anti-Stokes Raman scattering (CARS)-based heat mitigation, which is based on decreasing the amount of phonons created in the Raman medium by increasing the ratio of the number of anti- Stokes photons to the number of Stokes photons coupled out of the Raman laser. In addition, we discuss the influence of heat sources, other than the quantum defect, of the CARS-related phase mismatch, and of backward Raman scattering on our CARS-based heat-mitigation technique. Furthermore, we explain how these heat-mitigation-affecting factors should be managed to enhance the effectiveness of our technique. Finally, to illustrate the feasibility of obtaining efficient CARS-based heat mitigation, we discuss to what extent the described effectiveness-enhancing methods can be applied to near- and mid-infrared silicon-based Raman lasers.