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We present an experimental scheme that produces Doppler-free spectra of the$5s \to 6p $ second resonance transition in atomic rubidium. The experimentuses the saturation of the cascade fluorescence that occurs when thermalrubidium atoms interact with two counterpropagating $420 $ nm laser beams ofcomparable intensity. Part of the excited atomic population goes through the$5p_{3/2}$ level which then decays by emission of $780$ nm photons. Narrow dipsappear in this otherwise broad $780$ nm fluorescence, which allows resolutionof the $6p_{3/2}$ hyperfine structure. A rate equation model is used tointerpret the spectra. It is also shown that these narrow peaks can be used tolock the frequency of the $420 $ nm laser. Using a second beam modulated infrequency produces three sets of spectra with known frequency spacings that canbe used to perform an all-optical measurement of the hyperfine splittings ofthe $6p_{3/2} $ manifold in rubidium.

Doppler-free saturation of the cascade fluorescence that follows excitation of the $5s \to 6p $ transition in atomic rubidium