(a) Show that the wave equation (7.6.4) allows sum and difference frequency generation in the case of...

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(a) Show that the wave equation (7.6.4) allows sum and difference frequency generation in the case of two input waves with different frequencies. Show that the amplitude of the sum wave with frequency ω3 = ω1 + ω2 is proportional to the product EE2.

(b) Show that in the case of three-dimensional waves, the phase matching condition is

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