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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 13 — Jun. 23, 2008
  • pp: 9714–9725

Substantial gain enhancement for optical parametric amplification and oscillation in two-dimensional χ(2) nonlinear photonic crystals

Hsi-Chun Liu and A. H. Kung  »View Author Affiliations

Optics Express, Vol. 16, Issue 13, pp. 9714-9725 (2008)

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We have analyzed optical parametric interaction in a 2D NPC. While in general the nonlinear coefficient is small compared to a 1D NPC, we show that at numerous orientations a multitude of reciprocal vectors contribute additively to enhance the gain in optical parametric amplification and oscillation in a 2D patterned crystal. In particular, we have derived the effective nonlinear coefficients for common-signal amplification and common-idler amplification for a tetragonal inverted domain pattern. We show that in the specific case of signal amplification with QPM by both G 10 and G 11 , symmetry of the crystal results in coupled interaction with the corresponding signal amplification by G 10 and G 1,-1 . As a consequence, this coupled utilization of all three reciprocal vectors leads to a substantial increase in parametric gain. Using PPLN we demonstrate numerically that a gain that comes close to that of a 1D QPM crystal could be realized in a 2D NPC with an inverted tetragonal domain pattern. This special mechanism produces two pairs of identical signal and idler beams propagating in mirror-imaged forward directions. In conjunction with this gain enhancement and multiple beams output we predict that there is a large pulling effect on the output wavelength due to dynamic signal build-up in the intrinsic noncollinear geometry of a 2D NPC OPO.

© 2008 Optical Society of America

OCIS Codes
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(160.5298) Materials : Photonic crystals

ToC Category:
Nonlinear Optics

Original Manuscript: April 7, 2008
Revised Manuscript: June 2, 2008
Manuscript Accepted: June 12, 2008
Published: June 17, 2008

Hsi-Chun Liu and A. H. Kung, "Substantial gain enhancement for optical parametric amplification and oscillation in two-dimensional χ(2) nonlinear photonic crystals," Opt. Express 16, 9714-9725 (2008)

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