OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 2 — Jan. 18, 2010
  • pp: 973–987

Tailoring a coherent control solution landscape by linear transforms of spectral phase basis

Peter van der Walle, Herman Offerhaus, Jennifer Herek, and Aliakbar Jafarpour  »View Author Affiliations

Optics Express, Vol. 18, Issue 2, pp. 973-987 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (562 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Finding an optimal phase pattern in a multidimensional solution landscape becomes easier and faster if local optima are suppressed and contour lines are tailored towards closed convex patterns. Using wideband second harmonic generation as a coherent control test case, we show that a linear combination of spectral phase basis functions can result in such improvements and also in separable phase terms, each of which can be found independently. The improved shapes are attributed to a suppressed nonlinear shear, changing the relative orientation of contour lines. The first order approximation of the process shows a simple relation between input and output phase profiles, useful for pulse shaping at ultraviolet wavelengths.

© 2010 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: October 23, 2009
Revised Manuscript: December 18, 2009
Manuscript Accepted: December 18, 2009
Published: January 7, 2010

Peter van der Walle, Herman Offerhaus, Jennifer Herek, and Aliakbar Jafarpour, "Tailoring a coherent control solution landscape by linear transforms of spectral phase basis," Opt. Express 18, 973-987 (2010)

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. D. Meshulach and Y. Silberberg, “Coherent Quantum Control of Multiphoton Transitions by Shaped Ultrashort Optical Pulses,” Phys. Rev. A 60(2), 1287–1292 (1999). [CrossRef]
  5. S. Postma, A. C. W. van Rhijn, J. P. Korterik, P. Gross, J. L. Herek, and H. L. Offerhaus, “Application of spectral phase shaping to high resolution CARS spectroscopy,” Opt. Express 16(11), 7985–7996 (2008). [CrossRef] [PubMed]
  6. A. C. W. van Rhijn, S. Postma, J. P. Korterik, J. L. Herek, and H. L. Offerhaus, “Chemically selective imaging by spectral phase shaping for broadband CARS around 3000 cm−1,” J. Opt. Soc. Am. B 26(3), 559–563 (2009). [CrossRef]
  7. R. S. Judson and H. Rabitz, “Teaching lasers to control molecules,” Phys. Rev. Lett. 68(10), 1500–1503 (1992). [CrossRef] [PubMed]
  8. 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]
  9. 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] [PubMed]
  10. 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] [PubMed]
  11. P. van der Walle, M. T. W. Milder, L. Kuipers, and J. L. Herek, “Quantum control experiment reveals solvation-induced decoherence,” Proc. Natl. Acad. Sci. U.S.A. 106(19), 7714–7717 (2009). [CrossRef] [PubMed]
  12. P. van der Walle, J. Savolainen, L. Kuipers, and J. L. Herek, “Learning from evolutionary optimization by retracing search paths,” Chem. Phys. Lett. 483(1-3), 164–167 (2009), doi:. [CrossRef]
  13. J. Roslund and H. Rabitz, “Gradient algorithm applied to laboratory quantum control,” Phys. Rev. A 79(5), 053417 (2009). [CrossRef]
  14. B. Kohler, V. V. Yakovlev, J. Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Y. J. Yan, “Quantum control of wave packet evolution with tailored femtosecond pulses,” Phys. Rev. Lett. 74(17), 3360–3363 (1995). [CrossRef] [PubMed]
  15. C. J. Bardeen, Q. Wang, and C. V. Shank, “Selective excitation of vibrational wave packet motion using chirped pulses,” Phys. Rev. Lett. 75(19), 3410–3413 (1995). [CrossRef] [PubMed]
  16. 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]
  17. J. Roslund, M. Roth, and H. Rabitz, “Laboratory observation of quantum control level sets,” Phys. Rev. A 74(4), 043414 (2006). [CrossRef]
  18. A. Jafarpour, J. Savolainen, R. de Jong, J. Middag, D. P. Sprünken, P. van der Walle, D. Yang, and J. L. Herek, “Robust orthogonal parameterization of evolution strategy for adaptive laser pulse shaping,” Opt. Express 17(14), 11986–12000 (2009). [CrossRef] [PubMed]
  19. A. Paeth, “A fast algorithm for general raster rotation,” Graphics Interface 86, 77–81 (1986).
  20. P. S. C. Heuberger, P. M. J. van den Hof, and B. Wahlberg, Modelling and identification with rational orthogonal basis functions (Springer, 2005).
  21. A. I. Zayed, Handbook of Function and Generalized Function Transformations (CRC Press, 1996).
  22. D. Keusters, H. S. Tan, P. O'Shea, E. Zeek, R. Trebino, and W. S. Warren, “Relative-phase ambiguities in measurements of ultrashort pulses with well-separated multiple frequency components,” J. Opt. Soc. Am. B 20(10), 2226–2237 (2003). [CrossRef]
  23. 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 (2001). [CrossRef]
  24. R. Fanciulli, L. Willmes, J. Savolainen, P. Walle, T. Bäck, and J. L. Herek, “Evolution strategies for laser pulse compression,” Lect. Notes Comput. Sci. 4926, 219–230 (2008). [CrossRef]
  25. I. A. Walmsley and C. Dorrer, “Characterization of ultrashort electromagnetic pulses,” Adv. Opt. Photon. 1(2), 308–437 (2009). [CrossRef]
  26. V. V. Lozovoy and M. Dantus, “Systematic control of nonlinear optical processes using optimally shaped femtosecond pulses,” ChemPhysChem 6(10), 1970–2000 (2005). [CrossRef] [PubMed]
  27. T. Brixner, B. Kiefer, and G. Gerber, “Problem complexity in femtosecond quantum control,” Chem. Phys. 267(1–3), 241–246 (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