OSA's Digital Library

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)
http://dx.doi.org/10.1364/OE.16.009714


View Full Text Article

Enhanced HTML    Acrobat PDF (307 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-13-9714


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998). [CrossRef]
  2. N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000). [CrossRef] [PubMed]
  3. L.-H. Peng, C.-C. Hsu, J. Ng, and A. H. Kung, "Wavelength tunability of second-harmonic generation from two-dimensional ?(2) nonlinear photonic crystals with a tetragonal lattice structure," Appl. Phys. Lett. 84, 3250-3252 (2004). [CrossRef]
  4. M. Seiter and M. W. Sigrist, "On-line multicomponent trace-gas analysis with a broadly tunable pulsed difference-frequency laser spectrometer," Appl. Opt. 38, 4691-4698 (1999). [CrossRef]
  5. M. H. Chou, I. Brener, G. Lenz, R. Scotti, E. E. Chaban, J. Shmulovich, D. Philen, S. Kosinski, K. R. Parameswaran, and M. M. Fejer, "Efficient wide-band and tunable midspan spectral inverter using cascaded nonlinearities in LiNbO3 waveguides," IEEE Photonics Technology Lett. 12, 82-84 (2000). [CrossRef]
  6. L. E. Myers, G. D. Miller, R. C. Eckardt, M. M. Fejer, and R. L. Byer, "Quasi-phase-matched 1.064 micron-pumped optical parametric oscillator in bulk periodically poled LiNbO3," Opt. Lett. 20, 52-54 (1995). [CrossRef] [PubMed]
  7. A. Arie, N. Habshoosh, and A. Bahabad, "Quasi phase matching in 2D nonlinear photonic crystals," Opt. Quantum Electron. 39, 361 (2007). [CrossRef]
  8. D. H. Jundt, "Temperature-dependent Sellmeier equation for the index of refraction, ne, in congruent lithium niobate," Opt. Lett. 22, 1553 (1997). [CrossRef]
  9. R. W. Boyd, Nonlinear Optics, 2nd Ed. (Academic Press, 2003) Chap. 2.
  10. L.-H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional ?(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447 (2003). [CrossRef]
  11. A. E. Siegman, Lasers, (University Science Books, 1986) Chap. 29, pp. 1169.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited