A downhole optical system can include an optical fiber disposed in a subterranean well, and an optical fiber amplifier which amplifies optical power in a core of the optical fiber in the well, the amplifier being optically pumped with optical power in another core of the optical fiber in the well. Another downhole optical system can include an optical fiber disposed in a subterranean well, the optical fiber comprising multiple cores, and an optical fiber amplifier comprising multiple cores optically coupled respectively to the optical fiber multiple cores in the well.