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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 1224–1230

Analytic expressions for group-delay dispersion and cubic dispersion in arbitrary prism sequences

R. E. Sherriff  »View Author Affiliations


JOSA B, Vol. 15, Issue 3, pp. 1224-1230 (1998)
http://dx.doi.org/10.1364/JOSAB.15.001224


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Abstract

A simple expression is obtained for the wavelength-dependent optical path length through a completely general N-prism sequence. Once the prisms’ rotational orientations are fixed, a one-time calculation yields analytic expressions for the group-delay dispersion and cubic dispersion. The technique can be generalized for higher dispersion orders. As an example, expressions for Proctor–Wise prism sequences [Opt. Lett. 17, 1295 (1992)] constructed from a variety of glasses are produced. The analytic expressions for this sequence permit an exhaustive search of relative prism translations. The arrangement that produces the smallest cubic dispersion for a given group-delay dispersion and total optical path is found.

© 1998 Optical Society of America

OCIS Codes
(320.5520) Ultrafast optics : Pulse compression
(320.7090) Ultrafast optics : Ultrafast lasers

Citation
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)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-3-1224


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References

  1. R. L. Fork, O. E. Martinez, and J. P. Gordon, Opt. Lett. 9, 150 (1984). [CrossRef] [PubMed]
  2. O. E. Martinez, J. P. Gordon, and R. L. Fork, J. Opt. Soc. Am. A 1, 1003 (1984). [CrossRef]
  3. B. E. Lemoff and C. P. J. Barty, Opt. Lett. 17, 1367 (1992). [CrossRef]
  4. B. Proctor and F. Wise, Opt. Lett. 17, 1295 (1992). [CrossRef] [PubMed]
  5. The required refractive-index derivatives were obtained by differentiation of the Sellmeir equation. The Sellmeir coefficients for all materials except fused silica were obtained from the manufacturer, Schott Glass Technologies, Duryea, Pa. The coefficients for fused silica were taken from the Optics and Coatings Catalog (1994), CVI Laser Corporation, 200 Dorado Place SE, P.O. Box 11308, Albuquerque, N.M. 87192.
  6. R. L. Fork, C. H. Brito Cruz, P. C. Becker, and C. V. Shank, Opt. Lett. 12, 483 (1987). [CrossRef] [PubMed]

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