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Microwave and audio parametric amplifiers were used as low-noise amplifiers, to process low-level signals. Therefore their non-linearity probably never occurred in use.

In principle, Manley-Rowe theory holds for any frequency combination, and should apply also in optics. I am not aware about the application in optics but it is clearly possible.

In optical spectrum (frequencies above IR), however, quantum noise prevails above thermal noise, so low-noise amplification is usually not needed or not possible.

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