Abstract:
The analytic solution to the wave equation for small-signal sum-frequency process is derived in 2D χ (2) photonic crystals with use of the Green function method. It is predicted that the sum-frequency electrical field at quasi-phase matching (QPM) resonance is proportional to the angle-dependent effective crystal length. This implies that multiple wavelength QPM frequency conversion with controllable intensity output can be realized in a single 2D χ (2) photonic crystal. It is revealed that efficient frequency conversion requires both the QPM and the proper structure matching. A novel double-circle construction, different from the conventional Ewald construction, is presented to reflect important QPM processes. It is also shown that the QPM resonance tuning of second-harmonic generation can operate over the whole transparent wavelength range of crystals.
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Received 19 April 2001
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Wang, XH., Gu, BY. Nonlinear frequency conversion in 2D χ (2) photonic crystals and novel nonlinear double-circle construction. Eur. Phys. J. B 24, 323–326 (2001). https://doi.org/10.1007/s10051-001-8681-6
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DOI: https://doi.org/10.1007/s10051-001-8681-6