Nonlinear frequency conversion in 2D x(2) photonic crystals and novel nonlinear double-circle construction
Institute of Physics, Academia Sinica, PO Box 603, Beijing 100080, PR China
2 CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China and Institute of Physics, Academia Sinica, PO Box 603, Beijing 100080, PR China
Corresponding author: a email@example.com
Published online: 15 December 2001
The analytic solution to the wave equation for small-signal sum-frequency process is derived in 2D x(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 x(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.
PACS: 42.70.Qs – Photonic bandgap materials / 42.65.Ky – Harmonic generation, frequency conversion / 42.65.-k – Nonlinear optics / 42.70.Mp – Nonlinear optical crystal
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001