The theory of resonant and non-resonant three-photon ionisation of a multi-level atomic system illuminated by a not too intense source (in a sense which is defined precisely in the text) with a Lorentzian spectrum is presented. The following new results are obtained: (i) the authors find different expressions for the non-resonant ionisation probability under monochromatic and broad band excitation; (ii) in addition to the usual one- and two-photon resonances connecting the ground state to excited states, the resonance which occurs when the photon energy is equal to the difference in energy between two excited states is discussed; and (iii) the triple resonance (that is the resonance occurring when the conditions for a one-photon and two-photon resonance are simultaneously satisfied) is examined.
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McClean et al. (1979) studied this question.
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