OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 14 — May. 10, 2007
  • pp: 2656–2662

Efficient optimization of multilayer coatings for ultrafast optics using analytic gradients of dispersion

Jonathan R. Birge and Franz X. Kärtner  »View Author Affiliations


Applied Optics, Vol. 46, Issue 14, pp. 2656-2662 (2007)
http://dx.doi.org/10.1364/AO.46.002656


View Full Text Article

Enhanced HTML    Acrobat PDF (414 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A fully analytic method for computing gradients of dispersion (to any order) for a dielectric multilayer coating is developed, and it is demonstrated how group delay gradients can be used to optimize the dispersion of such a filter. The algorithm complexity is linear with the number of layers and quadratic in dispersion order. To our knowledge, this is the first published algorithm for computing exact analytic gradients of dispersion. We show an approximation that speeds up the computation significantly, making it linear in dispersion order. MATLAB and C code implementing the algorithms are made available.

© 2007 Optical Society of America

OCIS Codes
(310.0310) Thin films : Thin films
(310.6860) Thin films : Thin films, optical properties
(320.0320) Ultrafast optics : Ultrafast optics

ToC Category:
Ultrafast Optics

History
Original Manuscript: August 11, 2006
Revised Manuscript: January 5, 2007
Manuscript Accepted: January 15, 2007
Published: April 23, 2007

Citation
Jonathan R. Birge and Franz X. Kärtner, "Efficient optimization of multilayer coatings for ultrafast optics using analytic gradients of dispersion," Appl. Opt. 46, 2656-2662 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-14-2656


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Stingl, M. Menzner, C. Spielmann, F. Krausz, and R. Szipöcs, "Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser," Opt. Lett. 20, 602-604 (1995). [CrossRef] [PubMed]
  2. F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, "Design and fabrication of double-chirped mirrors," Opt. Lett. 22, 831-833 (1997). [CrossRef] [PubMed]
  3. F. X. Kaertner, U. Morgner, T. R. Schibli, E. P. Ippen, J. G. Fujimoto, V. Scheuer, G. Angelow, and T. Tschudi, "Ultrabroadband double-chirped mirror pairs for generation of octave spectra," J. Opt. Soc. Am. B 18, 882-885 (2001). [CrossRef]
  4. U. Morgner, F. X. Kärtner, S. H. Cho, Y. Chen, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, "Sub-two-cycle pulses from a Kerr-lens mode-locked Ti:sapphire laser," Opt. Lett. 24, 411-413 (1999). [CrossRef]
  5. T. R. Schibli, O. Kuzucu, J. Kim, E. P. Ippen, J. G. Fujimoto, F. X. Kärtner, V. Scheuer, and G. Angelow, "Towards single-cycle laser systems," IEEE J. Sel. Top. Quantum Electron. 9, 990-1001 (2003). [CrossRef]
  6. O. D. Mücke, R. Ell, A. Winter, J. Kim, J. R. Birge, L. Matos, and F. X. Kärtner, "Self-referenced 200 MHz octave-spanning Ti:saphhire laser with 50 attosecond carrier-envelope phase jitter," Opt. Express 13, 5163-5169 (2005). [CrossRef] [PubMed]
  7. A. V. Tikhonravov, "Some theoretical aspects of thin-film optics and their applications," Appl. Opt. 32, 5417-5426 (1993). [CrossRef] [PubMed]
  8. A. V. Tikhonravov, P. W. Baumeister, and K. V. Popov, "Phase properties of multilayers," Appl. Opt. 36, 4382-4392 (1997). [CrossRef] [PubMed]
  9. C. J. v. d. Laan and H. J. Frankena, "Fast computation method for derivatives of multilayer stack reflectance," Appl. Opt. 17, 538-541 (1978). [PubMed]
  10. J. R. Birge, C. Jirauschek, and F. X. Kärtner, "Efficient analytic computation of group delay dispersion from optical interference coatings," in Optical Interference Coatings Topical Meeting (Optical Society of America, 2004), p. ThA6.
  11. J. R. Birge and F. X. Kärtner, "Efficient analytic computation of dispersion from multilayer structures," Appl. Opt. 45, 1478-1483 (2006). [CrossRef] [PubMed]
  12. K. Atkinson, An Introduction to Numerical Analysis (Wiley, 1989).
  13. P. Dombi, V. S. Yakovlev, K. O'Keeffe, T. Fuji, M. Lezius, and G. Tempea, "Pulse compression with time-domain optimized chirped mirrors," Opt. Express 13, 10888-10894 (2005). [CrossRef] [PubMed]
  14. J. Kong, Electromagnetic Theory (EMW, 2001).
  15. A. A. Tovar and L. W. Casperson, "Generalized reverse theorems for multipass applications in matrix optics," J. Opt. Soc. Am. A 11, 2633-2642 (1994). [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited