Two-crystal second-harmonic interference (source code)

= Two-crystal second-harmonic interference
{title2=$I_{2\omega}=4\alpha^2I_0^2L^2\cos^2(\Delta k_gd/2)$}

Two identical phase-matched <crystals> generate coherent harmonic amplitudes. In a dispersive gap, the harmonic from the first <crystal> accumulates a different phase from twice the transmitted pump phase. Their interference gives the displayed undepleted-pump intensity in the stated equal-coupling amplitude <normalization>. Depletion changes the fringe shape; in the ideal lossless identical-crystal model, an opposite <relative phase> can coherently undo the first conversion.