OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 1801–1813

Numerical treatment of UV-pumped, white-light-seeded single-pass noncollinear parametric amplifiers

Stefan Reisner and Michael Gutmann  »View Author Affiliations

JOSA B, Vol. 16, Issue 10, pp. 1801-1813 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (249 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A technique for numerically simulating second-order nonlinear interactions of light waves modulated spatially and temporally in both amplitude and phase in a uniaxial medium with arbitrary polarization and propagation directions is presented. A three-dimensional grid technique that automatically adapts grid parameters to the evolving sampled amplitudes by means of an analytical fit function is described. By means of spatiotemporal split-step fast-Fourier-transform propagation, diffraction and group-velocity dispersion can be included. We employ this technique for femtosecond noncollinear white-light-seeded parametric amplification in experimental designs presented earlier [Opt. Lett. 22, 1494 (1997); Opt. Lett. 23, 1283 (1998)]. The dependence of phase mismatch on signal wavelength provides a quantitative measure of the achromaticity of phase matching. Our results indicate that the pump pulse characteristics and not phase mismatching limit the amplification and the bandwidth of the parametric amplifier.

© 1999 Optical Society of America

OCIS Codes
(320.1590) Ultrafast optics : Chirping
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

Stefan Reisner and Michael Gutmann, "Numerical treatment of UV-pumped, white-light-seeded single-pass noncollinear parametric amplifiers," J. Opt. Soc. Am. B 16, 1801-1813 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Di Trapani, A. Andreoni, G. P. Banfi, C. Solcia, R. Danielius, A. Piskarskas, P. Foggi, M. Monguzzi, and C. Sozzi, “Group-velocity self-matching of femtosecond pulses in noncollinear parametric generation,” Phys. Rev. A 51, 3164–3168 (1995). [CrossRef] [PubMed]
  2. P. Di Trapani, A. Andreoni, P. Foggi, C. Solcia, R. Danielius, and A. Piskarskas, “Efficient conversion of femtosecond blue pulses by travelling-wave parametric generation in non-collinear phase matching,” Opt. Commun. 119, 327–332 (1995). [CrossRef]
  3. P. Matousek, A. W. Parker, P. F. Taday, W. T. Toner, and M. Towrie, “Two independently tunable and synchronised femtosecond pulses generated in the visible at the repetition rate 40 kHz using optical parametric amplifiers,” Opt. Commun. 127, 307–312 (1996). [CrossRef]
  4. S. R. Greenfield and M. R. Wasielewski, “Optical parametric amplification of femtosecond pulses tunable from the blue to the infrared with microjoule energies,” Appl. Opt. 34, 2688–2691 (1995). [CrossRef] [PubMed]
  5. F. Hache, T. J. Driscoll, M. Cavallari, and G. M. Gale, “Measurement of ultrashort pulse durations by interferometric autocorrelation: influence of various parameters,” Appl. Opt. 35, 3230–3236 (1996). [CrossRef] [PubMed]
  6. T. Wilhelm, J. Piel, and E. Riedle, “Sub-20-fs pulses tunable across the visible from a blue-pumped single-pass noncollinear parametric converter,” Opt. Lett. 22, 1494–1496 (1997). [CrossRef]
  7. G. Cerullo, M. Nisoli, S. Stagira, and S. De Silvestri, “Sub-8-fs pulses from an ultrabroadband optical parametric amplifier in the visible,” Opt. Lett. 23, 1283–1285 (1998). [CrossRef]
  8. G. Cerullo, M. Nisoli, and S. De Silvestri, “Generation of 11 fs pulses tunable across the visible by optical parametric amplification,” Appl. Phys. Lett. 71, 3616–3618 (1997). [CrossRef]
  9. A. Shirakawa and T. Kobayashi, “Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,” Opt. Lett. 23, 1292–1294 (1998). [CrossRef]
  10. H. J. Bakker, P. C. M. Planken, and H. G. Muller, “Numeri-cal calculation of optical frequency-conversion processes: a new approach,” J. Opt. Soc. Am. B 6, 1665–1672 (1989). [CrossRef]
  11. T. Nishikawa and N. Uesugi, “Effects of walk-off and group velocity difference on the optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995). [CrossRef]
  12. E. Lalor, “Conditions for the validity of the angular spectrum of plane waves,” J. Opt. Soc. Am. 58, 1235–1237 (1968). [CrossRef]
  13. E. Lalor, “The angular spectrum representation of electromagnetic fields in crystals,” J. Math. Phys. 13, 437–449 (1972). [CrossRef]
  14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
  15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
  16. M. Trippenbach and Y. B. Band, “Propagation of light pulses in nonisotropic media,” J. Opt. Soc. Am. B 13, 1403–1411 (1996). [CrossRef]
  17. J.-C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Academic, San Diego, Calif., 1996).
  18. V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, 2nd ed. (Springer-Verlag, Berlin, 1997).
  19. R. A. Fisher and W. K. Bischel, “Numerical studies of the interplay between self-phase modulation and dispersion for intense plane-wave laser pulses,” J. Appl. Phys. 46, 4921–4934 (1975). [CrossRef]
  20. J. Manz and L. Wöste, eds., Femtosecond Chemistry (VCH, Weinheim, Germany, 1995), Vols. 1 and 2.
  21. Z. Wang, Z. Zhang, Z. Xu, and Q. Lin, “Space–time profiles of an ultrashort pulsed Gaussian beam,” IEEE J. Quantum Electron. 33, 566–573 (1997). [CrossRef]
  22. J. Lindener-Roenneke, “Pump-Tast-Spektroskopie mit durchstimmbaren Femtosekundenpulsen: Realisierung eines experimentellen Aufbas und Untersuchungen zur Dynamik von Cr(CO)6 und Cr(CO)6 ⋅ (CH3OH)nHeteroclustern,” Ph.D. dissertation (Universität zu Köln, Cologne, Germany, 1998).
  23. F. Hache, M. Cavallari, and G. M. Gale, “Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?” in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemical Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), pp. 33–35.
  24. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN, 2nd ed. (Cambridge U. Press, Cambridge, 1992).

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