OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 15, Iss. 9 — Apr. 30, 2007
  • pp: 5815–5826

Spatial mode discrimination using second harmonic generation

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb  »View Author Affiliations

Optics Express, Vol. 15, Issue 9, pp. 5815-5826 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (3999 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Second harmonic generation (SHG) can be used as a technique for controlling the spatial mode structure of optical beams. We demonstrate experimentally the generation of higher-order spatial modes, and the possibility to use nonlinear phase matching as a predictable and robust technique for the conversion of transverse electric modes of the second harmonic output. The details of this effect are well described by our wave propagation models, which include mode dependent phase shifts. This is, to our knowledge, the first detailed study of spatial mode conversion in SHG. We discuss potential applications of this effect.

© 2007 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4360) Nonlinear optics : Nonlinear optics, devices
(230.4320) Optical devices : Nonlinear optical devices

ToC Category:
Nonlinear Optics

Original Manuscript: March 1, 2007
Revised Manuscript: April 20, 2007
Manuscript Accepted: April 20, 2007
Published: April 27, 2007

V. Delaubert, M. Lassen, D. R. N. Pulford, H.-A. Bachor, and C. C. Harb, "Spatial mode discrimination using second harmonic generation," Opt. Express 15, 5815-5826 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. Khokhlov, Radiotek. Electron 6, 1116-1130 (1961).
  2. P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, "Generation of Optical Harmonics," Phys. Rev. Lett. 7, 118-119 (1961). [CrossRef]
  3. R. W. Boyd, Nonlinear Optics, (Academic Press, 1992).
  4. G. Gurzadian, D. N. Nikogosian, and V. G. Dmitriev, Handbook of Nonlinear Optical Crystals, (Springer, 2006).
  5. R. Paschotta, P. Kurz, R. Henking, S. Schiller, and J. Mlynek, "82% efficient continuous-wave frequency doubling of 1.06 μm with a monolithic MgO:LiNbO3 resonator," Opt. Lett. 19, 1325-1327 (1994). [CrossRef] [PubMed]
  6. G. Breitenbach, S. Schiller, and J. Mlynek, "81% Conversion efficiency in frequency-stable continuous-wave parametric oscillation," J. Opt. Soc. Am. B 12, 2095-2101 (1995). [CrossRef]
  7. A. E. Siegman, Lasers, (University Science, Mill Valley California, 1986).
  8. G. D. Boyd and D. A. Kleinman, "Parametric Interaction of Focused Gaussian Light Beams," J. Appl. Phys. 39, 3597-3639 (1968). [CrossRef]
  9. J. T. Lue and C. J. Sun, "Limiting factors for parametric generation with focused high-order transverse- and multilongitudinal-mode lasers," J. Opt. Soc. Am. B 4, 1958-1963 (1987). [CrossRef]
  10. L. G. Gouy, "Sur la propagation anormale des ondes," Compt. Rendue Acad. Sci. 111, 33-35 (1890).
  11. R. W. Boyd, "Intuitive Explanation of the Phase Anomaly of Focused Light Beams," J. Opt. Soc. Am 70, 877-880 (1980). [CrossRef]
  12. M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, "Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations," Phys. Rev. Lett. 98, 083602-1-083602-4 (2007). [CrossRef]
  13. V. Delaubert, M. Lassen, D. R. N. Pulford, H-A. Bachor and C. C. Harb, Generalized Boyd-Kleinman calculation of high order transverse modes Second Harmonic Generation, To be submitted (2007).
  14. T. Kasamatsu, H. Kubomura and H Kan, "Numerical simulation of conversion efficiency and beam quality factor in Second Harmonic Generation with diffraction and pump depletion," Jpn. J. Appl. Phys. 44, 8495- 8497 (2005). [CrossRef]
  15. S. Sheng and A. E. Siegman, "Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction," Phys. Rev. A  21, 599-606 (1980). [CrossRef]
  16. N. Lastzka et al., arXiv.org:physics/0611257, (2006).
  17. M. Lassen, V. Delaubert, C. C. Harb, P. K. Lam, N. Treps and H-A. Bachor, "Generation of squeezing in higher order Hermite-Gaussian modes with an Optical Parametric Amplifier," J. of the Euro Opt. Soc.-RP. 1, 06003-1- 06003-7 (2006).
  18. J. R. Kurz, J. Huang, X. Xie, T. Saida, and M. M. Fejer, "Mode multiplexing in optical f requency mixers," Opt. Lett. 29, 551-553 (2004). [CrossRef] [PubMed]
  19. H. He, M. E. J. Friese, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity," Phys. Rev. Lett. 75, 826829-826833 (1995). [CrossRef]
  20. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and Steven Chu, "Observation of a single-beam gradient force optical trap for dielectric particles," Opt. Lett. 11, 288-291 (1986). [CrossRef] [PubMed]
  21. W. M. Lee, X. Yuan, and D. Tang, "Optical tweezers with multiple optical forces using double-hologram interference," Opt. Express 11, 199-207 (2002). [CrossRef]

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.

Supplementary Material

» Media 1: MOV (747 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited