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Applied Optics

Applied Optics


  • Vol. 37, Iss. 24 — Aug. 20, 1998
  • pp: 5679–5686

Dispersion measurements of water with white-light interferometry

Amelia G. Van Engen, Scott A. Diddams, and Tracy S. Clement  »View Author Affiliations

Applied Optics, Vol. 37, Issue 24, pp. 5679-5686 (1998)

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We measure the second- and third-order dispersion coefficients, d2k/ dω 2 and d3k/dω3, of water for wavelengths from 0.45 to 1.3 μm using a Michelson white-light interferometer. In this interval, the second-order dispersion ranges from 0.068 to -0.1 fs2/μm, and the third-order dispersion ranges from 0.048 to 1.18 fs3/μm. We observe an oscillation in d2k/dω2 near 1.1 μm that is due to water absorption features near that wavelength. From the dispersion coefficients, derivatives of the index of refraction of water are calculated and compared with available equations. These measured values of d2n/dλ2 and d3n/dλ3 should be useful in the evaluation and improvement of existing equations for n(λ) in water.

© 1998 Optical Society of America

OCIS Codes
(010.7340) Atmospheric and oceanic optics : Water
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(160.4760) Materials : Optical properties
(260.2030) Physical optics : Dispersion

Original Manuscript: November 17, 1997
Revised Manuscript: May 4, 1998
Published: August 20, 1998

Amelia G. Van Engen, Scott A. Diddams, and Tracy S. Clement, "Dispersion measurements of water with white-light interferometry," Appl. Opt. 37, 5679-5686 (1998)

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  1. X. M. Zhao, J.-C. Diels, C. Y. Wang, J. M. Elizondo, “Femtosecond ultraviolet laser pulse induced lightning discharges in gases,” IEEE J. Quantum Electron. 31, 599–612 (1995). [CrossRef]
  2. Q. Feng, J. V. Moloney, A. C. Newell, E. M. Wright, K. Cook, P. K. Kennedy, D. X. Hammer, B. A. Rockwell, C. R. Thompson, “Theory and simulation on the threshold of water breakdown induced by focused ultrashort laser pulses,” IEEE J. Quantum Electron. 33, 127–137 (1997). [CrossRef]
  3. S. A. Diddams, H. K. Eaton, A. A. Zozulya, T. S. Clement, “Characterizing the nonlinear propagation of femtosecond pulses in bulk media,” IEEE J. Sel. Top. Quantum Electron. 4, 306–316 (1998). [CrossRef]
  4. S. Petit, O. Crégut, C. Hirlimann, “A tunable femtosecond pulses amplifier,” Opt. Commun. 124, 49–55 (1996). [CrossRef]
  5. A. Brodeur, F. A. Ilkov, S. L. Chin, “Beam filamentation and the white light continuum divergence,” Opt. Commun. 129, 193–198 (1996). [CrossRef]
  6. K. Naganuma, K. Mogi, H. Yamada, “Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light,” Opt. Lett. 15, 393–395 (1990). [CrossRef] [PubMed]
  7. S. Diddams, J.-C. Diels, “Dispersion measurements with white light interferometry,” J. Opt. Soc. Am. B 13, 1120–1129 (1996). [CrossRef]
  8. Z. Bor, K. Osvay, B. Rácz, G. Szabó, “Group refractive index measurement by Michelson interferometer,” Opt. Commun. 78, 109–112 (1990). [CrossRef]
  9. T. Fuji, M. Miyata, S. Kawato, T. Hattori, H. Nakatsuka, “Linear propagation of light investigated with a white-light Michelson interferometer,” J. Opt. Soc. Am. B 14, 1074–1078 (1997). [CrossRef]
  10. W. H. Knox, N. M. Pearson, K. D. Li, C. A. Hirlimann, “Interferometric measurements of femtosecond group delay in optical components,” Opt. Lett. 13, 574–576 (1988). [CrossRef] [PubMed]
  11. K. Naganuma, Y. Sakai, “Interferometric measurement of wavelength dispersion on femtosecond laser cavities,” Opt. Lett. 19, 487–489 (1994). [CrossRef] [PubMed]
  12. K. Naganuma, H. Yasaka, “Group delay and α-parameter measurement of 1.3 μm semiconductor traveling-wave optical amplifier using the interferometric method,” IEEE J. Quantum Electron. 27, 1280–1287 (1991). [CrossRef]
  13. W. H. Knox, “Dispersion measurements for femtosecond-pulse generation and applications,” Appl. Phys. B 58, 225–235 (1994). [CrossRef]
  14. M. A. Khashan, A. Y. Nassif, “Accurate determination of solid and liquid dispersions from spectra channeled with the Fabry–Perot interferometer,” Appl. Opt. 36, 6843–6851 (1997). [CrossRef]
  15. J. G. Bayly, V. B. Kartha, W. H. Stevens, “The absorption spectra of liquid phase H2O, HDO, and D2O from 0.7 μm to 10 μm,” Infrared Phys. 3, 211–223 (1963). [CrossRef]
  16. J. A. Curcio, C. C. Petty, “The near infrared absorption spectrum of liquid water,” J. Opt. Soc. Am. 41, 302–304 (1951). [CrossRef]
  17. G. T. McNeil, “Metrical fundamentals of underwater lens system,” Opt. Eng. 16, 128–139 (1977). [CrossRef]
  18. K. D. Mielenz, “Refraction correction for flourescence spectra of aqueous solutions,” Appl. Opt. 17, 2875–2876 (1978). [CrossRef] [PubMed]
  19. A. Brimontas, V. Vasilyauskas, A. Piskarskas, A. Stabinis, “Dispersion spreading of femtosecond light pulses in crystals, air and water,” Sov. J. Quantum Electron. 15, 787–790 (1985). [CrossRef]
  20. I. Thormählen, J. Straub, U. Grigull, “Refractive index of water and its dependence on wavelength, temperature, and density,” J. Phys. Chem. Ref. Data 14, 933–945 (1985). [CrossRef]
  21. P. Schiebener, J. Straub, J. M. H. L. Sengers, J. S. Gallagher, “Refractive index of water and steam as function of wavelength, temperature, and density,” J. Phys. Chem. Ref. Data 19, 677–717 (1990). [CrossRef]
  22. M. Medhat, “Measurement of the refraction and dispersion of solids and liquids by the rings of equal chromatic order,” Optik (Stuttgart) 85, 73–77 (1990).
  23. X. Quan, E. S. Fry, “Empirical equation for the index of refraction of seawater,” Appl. Opt. 34, 3477–3480 (1995). [CrossRef] [PubMed]
  24. P. D. T. Huibers, “Models for the wavelength dependence of the index of refraction of water,” Appl. Opt. 36, 3785–3787 (1997). [CrossRef] [PubMed]
  25. W. M. Irvine, J. B. Pollack, “Infrared optical properties of water and ice spheres,” Icarus 8, 324–360 (1968). [CrossRef]
  26. G. D. Kerr, R. N. Hamm, M. W. Williams, R. D. Birkhoff, L. R. Painter, “Optical and dielectric properties of water in the vacuum ultraviolet,” Phys. Rev. A 5, 2523 (1972). [CrossRef]
  27. G. M. Hale, M. R. Querry, “Optical constants of water in the 200-nm to 200-μm wavelength region,” Appl. Opt. 12, 555–563 (1973). [CrossRef] [PubMed]
  28. K. F. Palmer, D. Williams, “Optical properties of water in the near infrared,” J. Opt. Soc. Am. 64, 1107–1110 (1974). [CrossRef]

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