Abstract

We report measurements of the refractive index of undoped yttrium aluminum garnet from 0.4 to 5.0 μm and the calculation of Sellmeier coefficients based on our data. The data differ considerably from previously published reports. The effect of the new data on the design of optical devices such as intracavity etalons for lasers is discussed.

© 1998 Optical Society of America

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References

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  1. C. E. Hamilton, R. J. Beach, S. B. Sutton, L. H. Furu, W. F. Krupke, “1-W average power levels and tunability from a diode-pumped 2.94-μm Er:YAG oscillator,” Opt. Lett. 19, 1627–1629 (1994).
    [CrossRef] [PubMed]
  2. A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991), p. 114.
  3. W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 46, 1674–1677 (1965).
    [CrossRef]
  4. M. J. Weber, CRC Handbook of Laser Science and Technology. Vol. III of Optical Materials (CRC Press, Cleveland, Ohio, 1986), Pt. 1, p. 120.
  5. A. A. Kaminskii, “Spectroscopic properties and 3 μ stimulated emission of Er3+ ions in the (Y1-xErx) Al5O12 and (Lu1-xErx) Al5O12 garnet crystal systems,” Phys. Status Solidi A 71, 291–312 (1982).
    [CrossRef]
  6. J. F. Nye, Physical Properties of Crystals, 2nd ed. (Oxford U. Press, New York, 1985).
  7. I. Malitson, “A redetermination of some optical properties of calcium fluoride,” Appl. Opt. 2, 1103–1107 (1963).
    [CrossRef]
  8. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980), p. 94.

1994 (1)

1982 (1)

A. A. Kaminskii, “Spectroscopic properties and 3 μ stimulated emission of Er3+ ions in the (Y1-xErx) Al5O12 and (Lu1-xErx) Al5O12 garnet crystal systems,” Phys. Status Solidi A 71, 291–312 (1982).
[CrossRef]

1965 (1)

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 46, 1674–1677 (1965).
[CrossRef]

1963 (1)

Beach, R. J.

Bond, W. L.

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 46, 1674–1677 (1965).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980), p. 94.

Furu, L. H.

Hamilton, C. E.

Kaminskii, A. A.

A. A. Kaminskii, “Spectroscopic properties and 3 μ stimulated emission of Er3+ ions in the (Y1-xErx) Al5O12 and (Lu1-xErx) Al5O12 garnet crystal systems,” Phys. Status Solidi A 71, 291–312 (1982).
[CrossRef]

Krupke, W. F.

Malitson, I.

Nye, J. F.

J. F. Nye, Physical Properties of Crystals, 2nd ed. (Oxford U. Press, New York, 1985).

Sutton, S. B.

Weber, M. J.

M. J. Weber, CRC Handbook of Laser Science and Technology. Vol. III of Optical Materials (CRC Press, Cleveland, Ohio, 1986), Pt. 1, p. 120.

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980), p. 94.

Yariv, A.

A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991), p. 114.

Appl. Opt. (1)

J. Appl. Phys. (1)

W. L. Bond, “Measurement of the refractive indices of several crystals,” J. Appl. Phys. 46, 1674–1677 (1965).
[CrossRef]

Opt. Lett. (1)

Phys. Status Solidi A (1)

A. A. Kaminskii, “Spectroscopic properties and 3 μ stimulated emission of Er3+ ions in the (Y1-xErx) Al5O12 and (Lu1-xErx) Al5O12 garnet crystal systems,” Phys. Status Solidi A 71, 291–312 (1982).
[CrossRef]

Other (4)

J. F. Nye, Physical Properties of Crystals, 2nd ed. (Oxford U. Press, New York, 1985).

M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980), p. 94.

A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991), p. 114.

M. J. Weber, CRC Handbook of Laser Science and Technology. Vol. III of Optical Materials (CRC Press, Cleveland, Ohio, 1986), Pt. 1, p. 120.

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Figures (3)

Fig. 1
Fig. 1

Refractive indices of undoped YAG as a function of wavelength. The solid curve represents the two-oscillator Sellmeier fit to the data.

Fig. 2
Fig. 2

Difference in the refractive indices reported in Ref. 3 and those predicted by the Sellmeier equation derived from the data reported in this research.

Fig. 3
Fig. 3

Transmission of an undoped YAG etalon at normal incidence as a function of wavelength. Etalon length is 301.1 μm. Open squares are based on parameters derived from Ref. 3. Filled circles are the calculated transmission by use of the same thickness etalon but with the refractive index from this research.

Tables (2)

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Table 1 Refractive Index of Undoped YAG

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Table 2 Sellmeier Coefficients for Undoped YAG

Equations (3)

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n 2 - 1 = A λ 2 / λ 2 - B + C λ 2 / λ 2 - D
ν = mc / 2 nl   cos θ ,
Δ ν = c / 2 nl   cos θ ,

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