OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 42, Iss. 34 — Dec. 1, 2003
  • pp: 6910–6914

Analytic expressions for the fourth- and the fifth-order dispersions of crossed prisms pairs

E. Cojocaru  »View Author Affiliations

Applied Optics, Vol. 42, Issue 34, pp. 6910-6914 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (121 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In case of tunable ultrashort-pulse lasers, besides the prism material, separation, and insertion, one may choose the central wavelength providing a better high-order dispersion compensation. Because of errors that accumulate in numerical iterations, the analytic approach may be preferable for high-order dispersion examination. Analytic expressions for the fourth- and the fifth-order dispersions of crossed prisms pairs, both at arbitrary and Brewster-angle incidences are presented. Examples are given for e-sapphire slabs and for one or two pairs of fused-silica prisms. Results are shown providing compensation of both the second- and the third-order dispersions, by keeping as low as possible the higher-order ones.

© 2003 Optical Society of America

OCIS Codes
(140.3590) Lasers and laser optics : Lasers, titanium
(140.7090) Lasers and laser optics : Ultrafast lasers
(160.4670) Materials : Optical materials
(230.5480) Optical devices : Prisms
(260.2030) Physical optics : Dispersion
(350.5030) Other areas of optics : Phase

Original Manuscript: June 25, 2003
Revised Manuscript: August 19, 2003
Published: December 1, 2003

E. Cojocaru, "Analytic expressions for the fourth- and the fifth-order dispersions of crossed prisms pairs," Appl. Opt. 42, 6910-6914 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. L. Fork, O. E. Martinez, J. P. Gordon, “Negative dispersion using pairs of prisms,” Opt. Lett. 9, 150–152 (1984). [CrossRef] [PubMed]
  2. J. P. Gordon, R. L. Fork, “Optical resonator with negative dispersion,” Opt. Lett. 9, 153–155 (1984). [CrossRef] [PubMed]
  3. R. L. Fork, C. H. Brito Cruz, P. C. Becker, C. V. Shank, “Compression of optical pulses to six femtoseconds by using cubic phase compensation,” Opt. Lett. 12, 483–485 (1987). [CrossRef] [PubMed]
  4. D. E. Spence, P. N. Kean, W. Sibbett, “60-fsec pulse generation from a self-mode-locked Ti:sapphire laser,” Opt. Lett. 16, 42–44 (1991). [CrossRef] [PubMed]
  5. F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, “Generation of 33-fs optical pulses from a solid-state laser,” Opt. Lett. 17, 204–206 (1992). [CrossRef] [PubMed]
  6. M. H. Ober, E. Sorokin, I. Sorokina, F. Krausz, E. Wintner, I. A. Shcherbakov, “Subpicosecond mode locking of a Nd3+-doped garnet laser,” Opt. Lett. 17, 1364–1366 (1992). [CrossRef]
  7. B. Proctor, F. Wise, “Quartz prism sequence for reduction of cubic phase in a mode-locked Ti:Al2O3 laser,” Opt. Lett. 17, 1295–1297 (1992). [CrossRef] [PubMed]
  8. P. LiKamWa, B. H. T. Chai, A. Miller, “Self-mode-locked Cr3+:LiCaAlF6 laser,” Opt. Lett. 17, 1438–1440 (1992). [CrossRef]
  9. N. H. Rizvi, P. M. W. French, J. R. Taylor, “Generation of 33-fs pulses from a passively mode-locked Cr3+:LiSrAlF6 laser,” Opt. Lett. 17, 1605–1607 (1992). [CrossRef] [PubMed]
  10. J. M. Jacobson, K. Naganuma, H. A. Haus, J. G. Fujimoto, A. G. Jacobson, “Femtosecond pulse generation in a Ti:Al2O3 laser by using second- and third-order intracavity dispersion,” Opt. Lett. 17, 1608–1610 (1992). [CrossRef] [PubMed]
  11. P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, “Operation of a femtosecond Ti:sapphire solitary laser in the vicinity of zero group-delay dispersion,” Opt. Lett. 18, 54–56 (1993). [CrossRef] [PubMed]
  12. I. P. Christov, M. M. Murnane, H. C. Kapteyn, J. Zhou, C. P. Huang, “Fourth-order dispersion-limited solitary pulses,” Opt. Lett. 19, 1465–1467 (1994). [CrossRef] [PubMed]
  13. Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, T. Nakagawa, “Self-starting mode-locked femtosecond forsterite laser with a semiconductor saturable-absorber mirror,” Opt. Lett. 22, 1006–1008 (1997). [CrossRef] [PubMed]
  14. R. E. Sherriff, “Analytic expressions for group-delay dispersion and cubic dispersion in arbitrary prism sequences,” J. Opt. Soc. Am. B 15, 1224–1230 (1998). [CrossRef]
  15. Optics and Coatings Catalog (1994), CVI Laser Corporation, 200 Dorado Place SE, P.O. Box 11308, Albuquerque, N.M. 87192.
  16. 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]
  17. A. C. Tien, R. Chang, J. Wang, “Adjustable negative group-velocity dispersion in graded-index lenses,” Opt. Lett. 17, 1177–1179 (1992). [CrossRef] [PubMed]

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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited