Leaky-waveguide laser amplifiers can sometimes have significant advantages for single-transverse-mode
propagation in high-power waveguide laser systems. Most recent studies of such systems have either not included
gain saturation, or they have assumed homogeneously broadened gain media. However, some of the most promising
media for such amplifiers are inhomogeneously broadened. Results reported here include detailed numerical mode
solutions for saturated inhomogeneous broadening, as well as useful analytical methods and approximations for both
homogeneous and inhomogeneous broadening.
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