OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 6 — Mar. 25, 2013
  • pp: 6658–6669

Measurements of the group delay and the group delay dispersion with resonance scanning interferometer

M. K. Trubetskov, M. von Pechmann, I. B. Angelov, K. L. Vodopyanov, F. Krausz, and V. Pervak  »View Author Affiliations

Optics Express, Vol. 21, Issue 6, pp. 6658-6669 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (3280 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We developed a method for group delay and group delay dispersion measurements, based on location of interference resonance peaks. Such resonance peaks can be observed in transmittance or in reflectance when two mirrors are placed parallel to each other and separated by a thin air spacer. By using a novel approach, based on simultaneous processing of the data acquired for different spacer distances we obtained reliable results with high resolution. Measurements were performed both in transmittance and reflectance layouts depending on the reflectivity of the mirror to be measured. The developed method allows dispersion measurements of ultraviolet mirrors and ultra-broadband mirrors spanning more than one optical octave to be performed.

© 2013 OSA

OCIS Codes
(310.1620) Thin films : Interference coatings
(320.5520) Ultrafast optics : Pulse compression
(320.7100) Ultrafast optics : Ultrafast measurements

ToC Category:
Ultrafast Optics

Original Manuscript: January 23, 2013
Revised Manuscript: March 1, 2013
Manuscript Accepted: March 1, 2013
Published: March 11, 2013

M. K. Trubetskov, M. von Pechmann, I. B. Angelov, K. L. Vodopyanov, F. Krausz, and V. Pervak, "Measurements of the group delay and the group delay dispersion with resonance scanning interferometer," Opt. Express 21, 6658-6669 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett.19(3), 201–203 (1994). [CrossRef] [PubMed]
  2. R. Szipőcs and A. Köházi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B65(2), 115–135 (1997). [CrossRef]
  3. J.-C. Diels and W. Rudolph, Ultrashort laser pulse phenomena : fundamentals, techniques, and applications on a femtosecond time scale (Academic Press, 1996).
  4. D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun.56(3), 219–221 (1985). [CrossRef]
  5. A. Ashkin, G. Boyd, and J. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2(6), 109–124 (1966). [CrossRef]
  6. F. X. Kärtner, U. Morgner, R. Ell, T. Schibli, J. G. Fujimoto, E. P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi, “Ultrabroadband double-chirped mirror pairs for generation of octave spectra,” J. Opt. Soc. B18(6), 882–885 (2001). [CrossRef]
  7. V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, S. Naumov, F. Krausz, and A. Apolonski, “1.5-octave chirped mirror for pulse compression down to sub-3 fs,” Appl. Phys. B87(1), 5–12 (2007). [CrossRef]
  8. V. Pervak, I. Ahmad, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “Double-angle multilayer mirrors with smooth dispersion characteristics,” Opt. Express17(10), 7943–7951 (2009). [CrossRef] [PubMed]
  9. V. Pervak, O. Pronin, O. Razskazovskaya, J. Brons, I. B. Angelov, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz, “High-dispersive mirrors for high power applications,” Opt. Express20(4), 4503–4508 (2012). [CrossRef] [PubMed]
  10. V. Pervak, M. K. Trubetskov, and A. V. Tikhonravov, “Robust synthesis of dispersive mirrors,” Opt. Express19(3), 2371–2380 (2011). [CrossRef] [PubMed]
  11. M. Trubetskov, A. Tikhonravov, and V. Pervak, “Time-domain approach for designing dispersive mirrors based on the needle optimization technique. Theory,” Opt. Express16(25), 20637–20647 (2008). [CrossRef] [PubMed]
  12. M. K. Trubetskov, V. Pervak, and A. V. Tikhonravov, “Phase optimization of dispersive mirrors based on floating constants,” Opt. Express18(26), 27613–27618 (2010). [CrossRef] [PubMed]
  13. A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina, and A. A. Tikhonravov, “Application of advanced optimization concepts to the design of high quality optical coatings,” Proc. SPIE4829, 1061–1062 (2003). [CrossRef]
  14. O. Nohadani, J. R. Birge, F. X. Kärtner, and D. J. Bertsimas, “Robust chirped mirrors,” Appl. Opt.47(14), 2630–2636 (2008). [CrossRef] [PubMed]
  15. J. R. Birge, F. X. Kärtner, and O. Nohadani, “Improving thin-film manufacturing yield with robust optimization,” Appl. Opt.50(9), C36–C40 (2011). [CrossRef] [PubMed]
  16. V. Pervak, M. K. Trubetskov, and A. V. Tikhonravov, “Robust synthesis of dispersive mirrors,” Opt. Express19(3), 2371–2380 (2011). [CrossRef] [PubMed]
  17. T. V. Amotchkina, M. K. Trubetskov, V. Pervak, B. Romanov, and A. V. Tikhonravov, “On the reliability of reverse engineering results,” Appl. Opt.51(22), 5543–5551 (2012). [CrossRef] [PubMed]
  18. W. H. Knox, N. M. Pearson, K. D. Li, and C. A. Hirlimann, “Interferometric measurements of femtosecond group delay in optical components,” Opt. Lett.13(7), 574–576 (1988). [CrossRef] [PubMed]
  19. W. H. Knox, “Dispersion measurements for femtosecond-pulse generation and applications,” Appl. Phys. B58(3), 225–235 (1994). [CrossRef]
  20. A. Gosteva, M. Haiml, R. Paschotta, and U. Keller, “Noise-related resolution limit of dispersion measurements with white-light interferometers,” J. Opt. Soc. B22(9), 1868–1874 (2005). [CrossRef]
  21. M. Beck and I. A. Walmsley, “Measurement of group delay with high temporal and spectral resolution,” Opt. Lett.15(9), 492–494 (1990). [CrossRef] [PubMed]
  22. T. V. Amotchkina, A. V. Tikhonravov, M. K. Trubetskov, D. Grupe, A. Apolonski, and V. Pervak, “Measurement of group delay of dispersive mirrors with white-light interferometer,” Appl. Opt.48(5), 949–956 (2009). [CrossRef] [PubMed]
  23. K. Naganuma, K. Mogi, and H. Yamada, “Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light,” Opt. Lett.15(7), 393–395 (1990). [CrossRef] [PubMed]
  24. S. Diddams and J.-C. Diels, “Dispersion measurements with white-light interferometry,” J. Opt. Soc. Am. B13(6), 1120–1129 (1996). [CrossRef]
  25. E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, “Single-Cycle Nonlinear Optics,” Science320(5883), 1614–1617 (2008). [CrossRef] [PubMed]
  26. I. Pupeza, T. Eidam, J. Rauschenberger, B. Bernhardt, A. Ozawa, E. Fill, A. Apolonski, T. Udem, J. Limpert, Z. A. Alahmed, A. M. Azzeer, A. Tünnermann, T. W. Hänsch, and F. Krausz, “Power scaling of a high-repetition-rate enhancement cavity,” Opt. Lett.35(12), 2052–2054 (2010). [CrossRef] [PubMed]
  27. V. Pervak, C. Teisset, A. Sugita, S. Naumov, F. Krausz, and A. Apolonski, “High-dispersive mirrors for femtosecond lasers,” Opt. Express16(14), 10220–10233 (2008). [CrossRef] [PubMed]
  28. V. Pervak, I. Ahmad, S. A. Trushin, Z. Major, A. Apolonski, S. Karsch, and F. Krausz, “Chirped-pulse amplification of laser pulses with dispersive mirrors,” Opt. Express17(21), 19204–19212 (2009). [CrossRef] [PubMed]
  29. O. Pronin, J. Brons, C. Grasse, V. Pervak, G. Boehm, M.-C. Amann, V. L. Kalashnikov, A. Apolonski, and F. Krausz, “High-power 200 fs Kerr-lens mode-locked Yb:YAG thin-disk oscillator,” Opt. Lett.36(24), 4746–4748 (2011). [CrossRef] [PubMed]
  30. K. Osvay, G. Kurdi, J. Hebling, A. P. Kovács, Z. Bor, and R. Szipöcs, “Measurement of the group delay of laser mirrors by a Fabry-Perot interferometer,” Opt. Lett.20(22), 2339–2341 (1995). [CrossRef] [PubMed]
  31. H. A. Macleod, Thin-film optical filters (Taylor & Francis, 2010).
  32. D. R. Austin, T. Witting, and I. A. Walmsley, “High precision self-referenced phase retrieval of complex pulses with multiple-shearing spectral interferometry,” J. Opt. Soc. Am. B26(9), 1818–1830 (2009). [CrossRef]
  33. A. N. Tikhonov and V. I. Arsenin, Solutions of Ill-Posed Problems (Halsted Press, 1977).
  34. A. N. Tikhonov, A. Goncharsky, V. V. Stepanov, and A. G. Yagola, Numerical Methods for the Solution of Ill-posed Problems, Mathematics and Its Applications No. 328 (Kluwer Academic Publishers, 1995).
  35. J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The theory of splines and their applications (Academic Press, 1967).

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: AVI (2642 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited