OSA's Digital Library

Optics Express

Optics Express

  • Editor: Martijn de Sterke
  • Vol. 16, Iss. 20 — Sep. 29, 2008
  • pp: 15923–15931

Quasi-phase-matching and dispersion characterization of harmonic generation in the perturbative regime using counterpropagating beams

Alon Bahabad, Oren Cohen, Margaret M. Murnane, and Henry C. Kapteyn  »View Author Affiliations

Optics Express, Vol. 16, Issue 20, pp. 15923-15931 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (248 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



It is shown theoretically that second harmonic generation can be quasi-phase-matched by using a pump beam consisting of a forward propagating field and a counterpropagating pulse train. The counterpropagating setup can also be used for direct measurement of the coherence length of the nonlinear process which can determine the dispersion properties of the medium.

© 2008 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.2620) Nonlinear optics : Harmonic generation and mixing

ToC Category:
Nonlinear Optics

Original Manuscript: July 31, 2008
Revised Manuscript: September 14, 2008
Manuscript Accepted: September 17, 2008
Published: September 22, 2008

Alon Bahabad, Oren Cohen, Margaret M. Murnane, and Henry C. Kapteyn, "Quasi-phase-matching and dispersion characterization of harmonic generation in the perturbative regime using counterpropagating beams," Opt. Express 16, 15923-15931 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. A. Armstrong, N.  Bloembergen, J.  Ducuing, and P. S. Pershan, "Interactions between Light Waves in a Nonlinear Dielectric," Phys. Rev. 127, 1918-1939 (1962). [CrossRef]
  2. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation- Tuning and tolerances," IEEE J. Quantum Electron 28, 2631-2654 (1992). [CrossRef]
  3. S.  Somekh and A.  Yariv, "Phase-matchable nonlinear optical interactions in periodic thin films," Appl. Phys. Lett. 21, 140 (1972). [CrossRef]
  4. C.  Tang and P.  Bey, "Phase matching in second-harmonic generation using artificial periodic structures," IEEE J. Quantum Electron 9, 9-17 (1973). [CrossRef]
  5. M.  Yamada, N.  Nada, M.  Saitoh, and K.  Watanabe, "First-order quasi-phase matched linbo$_3$ waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993). [CrossRef]
  6. A.  Kewitsch, M.  Segev, A.  Yariv, G.  Salamo, T.  Towe, E.  Sharp, and R.  Neurgaonkar, "Tunable quasi-phase matching using dynamic ferroelectric domain gratings induced by photorefractive space-charge fields," Appl. Phys. Lett. 64, 3068 (1994). [CrossRef]
  7. D.  Hum and M.  Fejer, "Quasi-phasematching," Physique 8, 180-198 (2007). [CrossRef]
  8. P.  Dong and A.  Kirk, "Nonlinear Frequency Conversion in Waveguide Directional Couplers," Phys. Rev. Lett. 93, 133901 (2004). [CrossRef] [PubMed]
  9. J.  Peatross, M.  Fedorov, and K.  Kulander, "Intensity-dependent phase-matching effects in harmonic generation," J. Opt. Soc. Am. B 12, 863-870 (1995). [CrossRef]
  10. P. B. Corkum, "Plasma perspective on strong field multiphoton ionization," Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
  11. S. L. Voronov, I.  Kohl, J. B. Madsen, J.  Simmons, N.  Terry, J.  Titensor, Q.  Wang, and J.  Peatross, "Control of laser high-harmonic generation with counterpropagating light," Phys. Rev. Lett. 87, 133902 (2001). [CrossRef] [PubMed]
  12. J.  Peatross, S.  Voronov, and I.  Prokopovich, "Selective zoning of high harmonic emission using counter-propagating light," Opt. Express 1, 114-125 (1997). [CrossRef] [PubMed]
  13. M.  Landreman, K.  O'Keeffe, T.  Robinson, M.  Zepf, B.  Dromey, and S.  Hooker, "Comparison of parallel and perpendicular polarized counterpropagating light for suppressing high harmonic generation," J. Opt. Soc. Am. B 24, 2421-2427 (2007). [CrossRef]
  14. O.  Cohen, A. L. Lytle, X.  Zhang, M. M. Murnane, and H. C. Kapteyn, "Optimizing quasi-phase matching of high harmonic generation using counterpropagating pulse trains," Opt. Lett. 32, 2975-2977 (2007). [CrossRef] [PubMed]
  15. X.  Zhang, A. L. Lytle, T.  Popmintchev, X.  Zhou, H. C. Kapteyn, M. M. Murnane, and O.  Cohen, "Quasi-phase-matching and quantum-path control of high-harmonic generation using counterpropagating light," Nat. Phys. 3, 270-275 (2007). [CrossRef]
  16. A.  Lytle, X.  Zhang, P.  Arpin, O.  Cohen, M.  Murnane, and H.  Kapteyn, "Quasi-phase matching of high-order harmonic generation at high photon energies using counterpropagating pulses," Opt. Lett. 33, 174-176 (2008). [CrossRef] [PubMed]
  17. H.  Kapteyn, O.  Cohen, I.  Christov, and M.  Murnane, "Harnessing Attosecond Science in the Quest for Coherent X-rays," Science 317, 775-778 (2007). [CrossRef] [PubMed]
  18. A. L. Lytle, X.  Zhang, J.  Peatross, M. M. Murnane, H. C. Kapteyn, and O.  Cohen, "Probe of high-order harmonic generation in a hollow waveguide geometry using counterpropagating light," Phys. Rev. Lett. 98, 123904 (2007). [CrossRef] [PubMed]
  19. A.  Lytle, X.  Zhang, R.  Sandberg, O.  Cohen, H.  Kapteyn, and M.  Murnane, "Quasi-phase matching and characterization of high-order harmonic generation in hollow waveguides using counterpropagating light," Opt. Express 16, 6544-6566 (2008). [CrossRef] [PubMed]
  20. O.  Cohen, X.  Zhang, A. L. Lytle, T.  Popmintchev, M. M. Murnane, and H. C. Kapteyn, "Grating-assisted phase matching in extreme nonlinear optics," Phys. Rev. Lett. 99, 053902 (2007). [CrossRef] [PubMed]
  21. R.  Shelby, D.  Smith, and S.  Schultz, "Experimental Verification of a Negative Index of Refraction," Science 292, 77-79 (2001). [CrossRef] [PubMed]
  22. O.  Gayer, Z.  Sacks, E.  Galun, and A.  Arie, "Temperature and wavelength dependent refractive index equations for MgO-doped congruent and stoichiometric LiNbO3," Appl. Phys. B 91, 343-348 (2008). [CrossRef]
  23. S.  Diddams and J.  Diels, "Dispersion measurements with white-light interferometry," J. Opt. Soc. Am. B 13, 1120-1129 (1996). [CrossRef]
  24. A.  L'Huillier, K.  Schafer, and K.  Kulander, "Higher-order harmonic generation in xenon at 1064 nm: The role of phase matching," Phys. Rev. Lett. 66, 2200-2203 (1991). [CrossRef] [PubMed]
  25. R.  Myers, N.  Mukherjee, S.  Brueck et al., "Large second-order nonlinearity in poled fused silica," Opt. Lett. 16, 1732-1734 (1991). [CrossRef] [PubMed]
  26. M.  Arbore, O.  Marco, and M.  Fejer, "Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings," Opt. Lett. 22, 865-867 (1997). [CrossRef]
  27. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

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.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited