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is formed by the scattering of the incident photons, producing the fourth photon.

Given inputs f₁, f₂, and f₃, the nonlinear system will produce

:

From calculations with the three input signals, it is found that 12 interfering frequencies are produced, three of which lie on one of the original incoming frequencies. Note that these three frequencies which lie at the original incoming frequencies are typically attributed to self-phase modulation

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