A numerical time-dependent Schrödinger study predicts that the n-photon excitation probability of the 8 eV 229mTh isomer scales as intensity^n times pulse width squared in the perturbative regime, with saturation at higher intensities.
This is a result from the balance be- tween the long time evaluation of the photon absorptions and the laser-induced photon emissions
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Isomer production by multi-photon excitation
A numerical time-dependent Schrödinger study predicts that the n-photon excitation probability of the 8 eV 229mTh isomer scales as intensity^n times pulse width squared in the perturbative regime, with saturation at higher intensities.