A photo acoustic trace gas detector (100) is provided for detecting a concentration of a trace gas in a gas mixture. The detector (100) comprises a light source (101) for producing a light beam and a light modulator (103) for modulating the light beam into a series of light pulses at a chopping frequency for generating sound waves in the gas mixture. The amplitude of the sound waves is a measure of the concentration of the trace gas. The detector (100) further comprises an optical cavity (104a, 104b) with the gas mixture. The optical cavity (104a, 104b) amplifies the light intensity of the light pulses. A transducer (109) converts the sound waves into electrical signals. A feed back loop (110, 111, 113, 114) regulates a ratio of a length of the optical cavity (104a, 104b) and a wavelength of the light beam for amplifying the light intensity of the light pulses in the optical cavity (104a, 104b). The feedback loop (110, 111, 113, 114) comprises ratio modulating means (113, 114) for modulating the ratio at a modulation frequency, a photo detector (110) for measuring the light intensity of the light pulses and adjusting means (111), coupled to the photo detector (100) and to the ratio modulating means (113, 114) for, in dependence of the measured light intensity, adjusting an average of the ratio. The chopping frequency is higher than the modulation frequency.