OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11986–12000

Robust orthogonal parameterization of evolution strategy for adaptive laser pulse shaping

Aliakbar Jafarpour, Janne Savolainen, Rianne de Jong, Jacob Middag, Daan P. Sprünken, Peter van der Walle, Di Yang, and Jennifer L. Herek  »View Author Affiliations

Optics Express, Vol. 17, Issue 14, pp. 11986-12000 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (477 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Many spectroscopic applications of femtosecond laser pulses require properly-shaped spectral phase profiles. The optimal phase profile can be programmed on the pulse by adaptive pulse shaping. A promising optimization algorithm for such adaptive experiments is evolution strategy (ES). Here, we report a four fold increase in the rate of convergence and ten percent increase in the final yield of the optimization, compared to the direct parameterization approach, by using a new version of ES in combination with Legendre polynomials and frequency-resolved detection. Such a fast learning rate is of paramount importance in spectroscopy for reducing the artifacts of laser drift, optical degradation, and precipitation.

© 2009 OSA

OCIS Codes
(320.5520) Ultrafast optics : Pulse compression
(320.5540) Ultrafast optics : Pulse shaping
(320.7150) Ultrafast optics : Ultrafast spectroscopy
(350.5030) Other areas of optics : Phase

ToC Category:
Ultrafast Optics

Original Manuscript: March 24, 2009
Revised Manuscript: June 7, 2009
Manuscript Accepted: June 28, 2009
Published: July 1, 2009

Aliakbar Jafarpour, Janne Savolainen, Rianne de Jong, Jacob Middag, Daan P. Sprünken, Peter van der Walle, Di Yang, and Jennifer L. Herek, "Robust orthogonal parameterization of evolution strategy for adaptive laser pulse shaping," Opt. Express 17, 11986-12000 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Brumer and M. Shapiro, “Control of unimolecular reactions using coherent light,” Chem. Phys. Lett. 126(6), 541–546 (1986). [CrossRef]
  2. S. Shi, A. Woody, and H. Rabitz, “Optimal control of selective vibrational excitation in harmonic linear chain molecules,” J. Chem. Phys. 88(11), 6870–6883 (1988). [CrossRef]
  3. J. Werschnik and E. K. U. Gross, “Quantum optimal control theory,” J. Phys. At. Mol. Opt. Phys. 40(18), R175–R211 (2007). [CrossRef]
  4. R. S. Judson and H. Rabitz, “Teaching lasers to control molecules,” Phys. Rev. Lett. 68(10), 1500–1503 (1992). [CrossRef]
  5. B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, “Coherent control using adaptive learning algorithms,” Phys. Rev. A 63(6), 063412–12 (2001).
  6. J. L. Herek, W. Wohlleben, R. J. Cogdell, D. Zeidler, and M. Motzkus, “Quantum control of energy flow in light harvesting,” Nature 417(6888), 533–535 (2002). [CrossRef]
  7. J. Savolainen, R. Fanciulli, N. Dijkhuizen, A. L. Moore, J. Hauer, T. Buckup, M. Motzkus, and J. L. Herek, “Controlling the efficiency of an artificial light-harvesting complex,” Proc. Natl. Acad. Sci. U.S.A. 105(22), 7641–7646 (2008). [CrossRef]
  8. C. Riziotis and A. V. Vasilakos, “Computational intelligence in photonics technology and optical networks: A survey and future perspectives,” Inf. Sci. 177(23), 5292–5315 (2007). [CrossRef]
  9. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282(5390), 919–922 (1998). [CrossRef]
  10. H.-G. Beyer, “Evolutionary algorithms in noisy environments: theoretical issues and guidelines for practice,” Comput. Methods Appl. Mech. Eng. 186(2-4), 239–267 (2000). [CrossRef]
  11. N. Hansen, “The CMA evolution strategy: a tutorial,” http://www.lri.fr/~hansen/cmatutorial.pdf .
  12. D. Zeidler, S. Frey, K.-L. Kompa, and M. Motzkus, “Evolutionary algorithms and their application to optimal control studies,” Phys. Rev. A 64(2), 023420–13 (2001). [CrossRef]
  13. O. Shir, Niching in derandomized evolution strategies and its applications in quantum control; a journey from organic diversity to conceptual quantum designs (Universiteit Leiden 2008). [PubMed]
  14. Ch. Siedschlaga, O. M. Shirb, Th. Bäckb, and M. J. J. Vrakkinga, “Evolutionary algorithms in the optimization of dynamic molecular alignment,” Opt. Commun. 264(2), 511–518 (2006). [CrossRef]
  15. J. W. Wilson, P. Schlup, M. Lunacek, D. Whitley, and R. A. Bartels, “Calibration of liquid crystal ultrafast pulse shaper with common-path spectral interferometry and application to coherent control with a covariance matrix adaptation evolutionary strategy,” Rev. Sci. Instrum. 79(3), 033103 (2008). [CrossRef]
  16. D. Cardoza, F. Langhojer, C. Trallero-Herrero, O. L. A. Monti, and T. Weinacht, “Changing pulse-shape basis for molecular learning control,” Phys. Rev. A 70(5), 053406 (2004). [CrossRef]
  17. R. Fanciulli, L. Willmes, J. Savolainen, P. van der Walle, T. Bäck, and J. L. Herek, “Evolution strategies for laser pulse compression,” Lect. Notes Comput. Sci. 4926, 219–230 (2008). [CrossRef]
  18. A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000). [CrossRef]
  19. E. Barker and J. Kelsey, Recommendation for Random Number Generation Using Deterministic Random Bit Generators (NIST Special Publication 800–90 2007).
  20. A. Ostermeier, A. Gawelczyk, and N. Hansen, “Step-size adaptation based on non-local use of selection information,” in Parallel Problem Solving from Nature–PPSN III, G. Goos, J. Hartmanis, and J. van Leeuwen, eds. (Springer 1994), pp. 189–198.
  21. N. Hansen and A. Ostermeier, “Completely derandomized self-adaptation in evolution strategies,” Evol. Comput. 9(2), 159–195 (2001). [CrossRef]
  22. D. Meshulach, D. Yelin, and Y. Silberberg, “Adaptive ultrashort pulse compression and shaping,” Opt. Commun. 138(4-6), 345–348 (1997). [CrossRef]
  23. Z. Zheng and A. M. Weiner, “Coherent control of second harmonic generation using spectrally phase coded femtosecond waveforms,” Chem. Phys. 267(1-3), 161–171 (2001). [CrossRef]
  24. J. Roslund, M. Roth, and H. Rabitz, “Laboratory observation of quantum control level sets,” Phys. Rev. A 74(4), 043414–11 (2006). [CrossRef]
  25. A. B. Carlson, Communication Systems (McGrawHill, 1986).
  26. B. Mulgrew, “Orthonormal functions for nonlinear signal processing and adaptive filtering,” in IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 6, (ICASSP 1994), pp.509–512.
  27. B. Ninness, S. Gibson, and S. Weller, “Practical aspects of using orthonormal system parameterisations in estimation problems,” in Proc. 12th IFAC Symposium on System Identification, vol. 2, B. Ninness and H. Hjalmarsson ed., (SYSID 2000), pp. 463–468.
  28. B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, “Coherent control using adaptive learning algorithms,” Phys. Rev. A 63(6), 063412 (2001). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited