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When the two back-reflected frequencies have a difference of around 2THz a third average mode is also emitted. That is, for proper power balance the laser diode will then emit three modes of light simultaneously, the two expected modes and an additional mode with a frequency at the average of the other two.

I am looking for some sort of theory or explanation for this, likely a non-linear interaction but I have not idea what. It is not four-wave-mixing since the new light mode is at the average frequency and not 2*f1-f2 or 2*f2-f1 which would be outside of the other light modes.

Does anyone have any thoughts on what could be the cause of this?

Thanks in advance for any help!