Nonlinear frequency conversion in 2D χ(2) photonic crystals and novel nonlinear double-circle construction

  • Xue-Hua Wang
  • Ben-Yuan Gu

DOI: 10.1007/s10051-001-8681-6

Cite this article as:
Wang, XH. & Gu, BY. Eur. Phys. J. B (2001) 24: 323. doi:10.1007/s10051-001-8681-6


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.

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

Copyright information

© EDP Sciences, Springer-Verlag 2001

Authors and Affiliations

  • Xue-Hua Wang
    • 1
  • Ben-Yuan Gu
    • 2
  1. 1.Institute of Physics, Academia Sinica, PO Box 603, Beijing 100080, PR ChinaCN
  2. 2.CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China and Institute of Physics, Academia Sinica, PO Box 603, Beijing 100080, PR ChinaCN