Abstract

New measurements of the infrared dispersion of air are reported. They agree with series I of the 1962 data of Peck and Khanna, but lie below Edlén’s 1966 formula. A two-term Sellmeier formula suffices to fit the resulting infrared (ir) data as well as the data selected by Edlén in the visible and ultraviolet (uv), being valid down to nearly 0.23 μm. Other possible Sellmeier fits are discussed, including extension to 0.185 μm.

© 1972 Optical Society of America

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References

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  1. B. Edlén, Metrologia 2, 71 (1966).
    [CrossRef]
  2. K. Svensson, Arkiv Fysik 16, 361 (1960).
  3. K. E. Erickson, J. Opt. Soc. Am. 52, 777 (1962).
    [CrossRef]
  4. D. H. Rank, G. D. Saksena, and T. K. McCubbin, J. Opt. Soc. Am. 48, 455 (1958).
    [CrossRef]
  5. E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 52, 416 (1962).
    [CrossRef]
  6. E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 56, 1059 (1966).
    [CrossRef]
  7. W. Traub, Ann. Physik 61, 533 (1920).
    [CrossRef]

1966 (2)

1962 (2)

1960 (1)

K. Svensson, Arkiv Fysik 16, 361 (1960).

1958 (1)

1920 (1)

W. Traub, Ann. Physik 61, 533 (1920).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

Data points of Table III, and the new two-term dispersion formula for air, Eq. (2), plotted relative to Edlén’s 1966 formula, Eq. (1). The widely deviant points marked “b” in Table III are omitted.

Tables (6)

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Table I New data on ir refractivity of air, and comparison with Edlén’s formula.

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Table II Renormalized data of Peck and Khanna, series I. Comparison with Edlén’s formula and with new data.

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Table III Refractivity of standard air at 15 °C in the wavelength range 1.69–0.23 μm. The data and the predictions of Eq. (2) are tabulated along with differences between data, Eq. (2) and Eq. (1).

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Table IV Statistical comparison of the new dispersion formula, Eq. (2), with Edlén’s 1966 formula, Eq. (1). The factor of 10−8 is understood.

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Table V Far-uv refractivity of standard air. Data of Traub, recalculated for 15°C and 0.033% CO2 content, normalized to 27 789.88×10−8 for 0.5462 27 μm, and compared with Eqs. (3), (2), and (1).

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Table VI rms deviations from several dispersion formulas of the data over an extended wavelength range. The factor of 10−8 has been omitted.

Equations (3)

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( n - 1 ) × 10 8 = 8342.13 + 2 406 030 130 - σ 2 + 15 997 38.9 - σ 2 .
( n - 1 ) × 10 8 = 5 791 817 238.0185 - σ 2 + 167 909 57.362 - σ 2 .
( n - 1 ) × 10 8 = 8060.51 + 2 480 990 132.274 - σ 2 + 17 455.7 39.32 957 - σ 2 .