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We report a detailed formalism aimed at the thermal modeling and heatmitigation in high-power double-clad fiber amplifiers. Closed form analyticalformulas are developed that take into account the spatial profile of theamplified signal and pump in the double-clad geometry, the presence of theamplified spontaneous emission, and the possibility of radiative cooling due toanti-Stokes fluorescence emission. The formalism is applied to a high-powerYb-doped silica fiber amplifier. The contributions to the heat-load from thepump-signal quantum defect, as well as the pump and signal parasiticabsorptions are compared to the radiative cooling. It is shown that forrealistic cases, the local heat generation in kiloWatt-class fiber amplifiersis either dominated by the quantum defect or the parasitic absorption dependingon the pump wavelength. In conventional designs, radiative cooling can besubstantial only in properly designed amplifiers, when the pump power is tensof watts or lower, unless the parasitic absorption is reduced compared to thecommonly reported values in the literature. We also explore the impact of thenon-ideal quantum efficiency of the gain material. The developed formalism canbe used to design fiber amplifiers and lasers for optimal heat mitigation,especially due to radiative cooling.

Thermal Modeling, Heat Mitigation, and Radiative Cooling for Double-Clad Fiber Amplifiers