OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 30 — Oct. 20, 2002
  • pp: 6514–6520

Optimization of chirped mirrors

Vladislav Yakovlev and Gabriel Tempea  »View Author Affiliations

Applied Optics, Vol. 41, Issue 30, pp. 6514-6520 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (142 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We demonstrate that a highly efficient global optimization of chirped mirrors can be performed with the memetic algorithm. The inherently high sensitivity of chirped-mirror characteristics to manufacturing errors can be reduced significantly by means of the stochastic quasi-gradient algorithm. The applicability of these algorithms is not limited to chirped mirrors.

© 2002 Optical Society of America

OCIS Codes
(230.4170) Optical devices : Multilayers
(310.6860) Thin films : Thin films, optical properties
(320.0320) Ultrafast optics : Ultrafast optics

Original Manuscript: February 18, 2002
Revised Manuscript: July 18, 2002
Published: October 20, 2002

Vladislav Yakovlev and Gabriel Tempea, "Optimization of chirped mirrors," Appl. Opt. 41, 6514-6520 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. Szipöcs, K. Ferencz, Ch. Spielmann, F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994). [CrossRef] [PubMed]
  2. A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. M. Murnane, H. C. Kapteyn, I. Christov, V. Stoev, “Ultrafast laser and amplifier sources,” Appl. Phys. B 65, 161–174 (1997). [CrossRef]
  3. A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, R. Szipöcs, “Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser,” Opt. Lett. 20, 602–604 (1995). [CrossRef] [PubMed]
  4. D. H. Sutter, I. D. Jung, F. X. Kärtner, N. Matuschek, F. Morier-Genoud, V. Schreuer, M. Tilsch, T. Tschudi, U. Keller, “Self-starting 6.5-fs pulses from a Ti:sapphire laser using a SESAM and double-chirped mirrors,” IEEE J. Sel. Top. Quantum Electron. 4, 169–178 (1998). [CrossRef]
  5. U. Morgner, F. X. Kärtner, S. H. Cho, Y. Chen, H. A. Haus, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, T. Tschudi, “Sub-two-cycle pulses from a Kerr-lens mode-locked Ti:sapphire laser,” Opt. Lett. 24, 411–413 (1999). [CrossRef]
  6. R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, T. Tschudi, M. J. Lederer, A. Boiko, B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001). [CrossRef]
  7. M. Nisoli, S. Stagira, S. de Silvestri, O. Svelto, S. Sartania, Z. Cheng, G. Tempea, Ch. Spielmann, F. Krausz, “Toward a terawatt-scale sub-10-fs laser technology,” IEEE J. Sel. Top. Quantum Electron. 4, 414–420 (1998). [CrossRef]
  8. J. K. Ranka, R. S. Windeler, A. J. Stentz, “Visible continuum generation in air–silica microstructure optical fibers with anomalous dispersion at 800 nm,” Opt. Lett. 25, 25–27 (2000). [CrossRef]
  9. L. Xu, W. M. Kimmel, P. O’Shea, R. Trebino, J. K. Ranka, R. S. Windeler, A. J. Stentz, “Measuring the intensity and phase of an ultrabroadband continuum,” in Ultrafast Phenomena XII, T. Elsässer, S. Mukamel, M. M. Murnane, N. F. Scherer, eds. (Springer-Verlag, Berlin, 2000), pp. 129–131.
  10. Z. Cheng, G. Tempea, T. Brabec, K. Ferencz, Ch. Spielmann, F. Krausz, “Generation of intense diffraction-limited white light and 4-fs pulses,” in Ultrafast Phenomena XI, T. Elsässer, J. G. Fujimoto, D. A. Wiesma, W. Zinth, eds. (Springer-Verlag, Berlin, 1998).
  11. A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997). [CrossRef]
  12. A. Apolonski, A. Poppe, G. Tempea, Ch. Spielmann, Th. Udem, R. Holzwarth, T. W. Hänsch, F. Krausz, “Controlling the phase evolution of few-cycle light pulses,” Phys. Rev. Lett. 85, 740–743 (2000). [CrossRef] [PubMed]
  13. F. X. Kärtner, N. Matuscheck, T. Tschibili, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997). [CrossRef] [PubMed]
  14. R. Szipöcs, A. Köhazi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B 65, 115–135 (1997). [CrossRef]
  15. G. Tempea, F. Krausz, Ch. Spielmann, K. Ferencz, “Dispersion control over 150 THz with chirped dielectric mirrors,” IEEE J. Sel. Top. Quantum Electron. 4, 193–196 (1998). [CrossRef]
  16. N. Matuschek, F. X. Kärtner, U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35, 129–137 (1999). [CrossRef]
  17. G. Tempea, F. Krausz, “Dispersion management over one octave with tilted-front-interface chirped mirrors,” presented at the Twelfth International Conference on Ultrafast Phenomena, Charleston, S.C., 9–13 July 2000.
  18. L. Gallmann, N. Matuschek, D. H. Sutter, V. Scheuer, G. Angelow, T. Tschudi, G. Steinmeyer, U. Keller, “Smooth dispersion compensation: novel chirped mirrors with suppressed dispersion oscillations,” in Ultrafast Phenomena XII, T. Elsässer, S. Mukamel, M. M. Murnane, N. F. Scherer, eds.,Springer-Verlag, Berlin, 2000), pp. 62–64.
  19. N. Matuschek, L. Gallmann, D. H. Sutter, G. Steinmeyer, U. Keller, “Back-side-coated chirped mirrors with ultra-smooth broadband dispersion characteristics,” Appl. Phys. B 71, 509–522 (2000). [CrossRef]
  20. G. Tempea, V. Yakovlev, B. Bacovic, F. Krausz, “Tilted-front-interface chirped mirrors,” J. Opt. Soc. Am. B 18, 1747–1750 (2001). [CrossRef]
  21. T. Boudet, P. Chaton, L. Herault, G. Gonon, L. Jouanet, P. Keller, “Thin-film designs by simulated annealing,” Appl. Opt. 35, 6219–6226 (1996). [CrossRef] [PubMed]
  22. J. A. Dobrowolski, R. A. Kemp, “Refinement of optical multilayer systems with different optimization procedures,” Appl. Opt. 29, 2876–2893 (1990). [CrossRef] [PubMed]
  23. E. Michielssen, S. Ranjithan, R. Mittra, “Optimal multilayer filter design using real coded genetic algorithms,” IEE Proc. J 139, 413–420 (1992).
  24. N. J. Radcliffe, P. D. Surry, “Formal memetic algorithms,” in Evolutionary Computing, T. Fogarty, ed., proceedings of an AISB workshop (Springer-Verlag, Berlin, 1994), pp. 1–14.
  25. Yu. Ermoliev, R. J.-B. Wets, eds.Numerical Techniques for Stochastic Optimization (Springer-Verlag, Berlin, 1988).
  26. M. A. Vorontsov, G. W. Carhart, M. Cohen, G. Cauwenberghs, “Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration,” J. Opt. Soc. Am. A 17, 1440–1453 (2000). [CrossRef]
  27. H. A. Macleod, “Basic theory,” in Thin-Film Optical Filters, W. T. Welford, S. Laurenson, eds. (Institute of Physics Publishing, Bristol, UK, 2001), pp. 40–41.
  28. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, “Conjugate gradient methods in multidimensions,” in Numerical Recipes in C: The Art of Scientific Computing, 2nd ed., W. H. Press, ed. (Cambridge U. Press, Cambridge, 1995), pp. 420–425.
  29. TFCalc, Thin-Film design software for windows, V. 3.0 ( http://www.sspectra.com ) .
  30. J. C. Spall, “Multivariate stochastic approximation using a simultaneous perturbation gradient approximation,” IEEE Trans. Automatic Control 37, 332–341 (1992). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited