Abstract

The effective dispersion introduced by the layered geometry acts to compensate material dispersion to achieve simultaneously phase matched second and third harmonic generation. On the basis of our previous work we can express for the real part of the effective index for the N-period structure as follows [1]: where β is the Bloch phase for an infinite structure having the same identical unit cell as the finite structure in question. As an example, we consider a 20-period, mixed half-wave/eighth-wave periodic structure composed of air and a dispersive material.

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