Abstract

Methods of computation are described for determination of the refractivity of air from measurements made with a corner-reflector Michelson interferometer. Results are given for eleven vacuum wavelengths from 7034 to 20 587 A. These results support Svensson’s conclusion that Edlen’s dispersion formula may be increased in precision by raising it slightly in the near-infrared. They indicate however an increase of 0.12×10−8×(3.35 μ−2σ2) over Svensson’s formula. A question is raised as to the existence of appreciable variations, perhaps seasonal in nature, in the refractivity of outdoor air.

© 1962 Optical Society of America

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References

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  1. K. Svensson, Arkiv Fysik 16, 361 (1960).
  2. B. Edlen, J. Opt. Soc. Am. 43, 339 (1953).
    [CrossRef]
  3. D. Schlueter and E. Peck, J. Opt. Soc. Am. 48, 313 (1958).
    [CrossRef]
  4. E. Peck, J. Opt. Soc. Am. 45, 795 (1955); J. Phys. radium 19, 397 (1958).
    [CrossRef]
  5. E. Peck and S. Obetz, J. Opt. Soc. Am. 43, 505 (1953).
    [CrossRef] [PubMed]
  6. D. H. Rank, G. D. Saksena, and T. K. McCubbin, J. Opt. Soc. Am. 48, 455 (1958).
    [CrossRef]

1960 (1)

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

1958 (2)

1955 (1)

1953 (2)

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Figures (2)

Fig. 1
Fig. 1

Diagram showing fringe numbers involved in the measurement of refractivity.

Fig. 2
Fig. 2

Deviations from Svensson’s formula vs square of vacuum wave number in μ−2. The solid line has a slope giving least-squares fit to the present data excluding the two extreme points shown by the black circles. The dotted line approximates Edlen’s formula.

Tables (2)

Tables Icon

Table I Mean value of refractivities and deviations from Svensson’s formula for the corresponding wavelengths in vacuum.

Tables Icon

Table II Mean values of refractivities for the two sets of observation called series I and II.

Equations (9)

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( n - 1 ) × 10 8 = 6432.8 + 2 949 810 146 - σ 2 + 25 540 41 - σ 2 .
( n - 1 ) × 10 8 = 6686.68 + 2 875 204 144 - σ 2 + 24 816 40.9 - σ 2 .
( n 2 - 1 ) std = m 2 λ 20 k / 2 L ,
( n 1 - 1 ) / ( n 2 - 1 ) = ( m 1 λ 10 / m 2 λ 20 ) .
I 1 λ 10 = ( n 1 - 1 ) 2 L + n 1 a 2 x m 2 λ 20 = ( n 2 - 1 ) 2 L + n 2 a 2 x ,
m 1 = I 1 + ( λ 2 / λ 1 ) [ ( p - o ) - ( p - o ) ] ,
I 1 λ 10 - m 2 λ 20 = ( n 1 - n 2 ) 2 L + ( n 1 a - n 2 a ) 2 x .
( n 1 - n 2 ) = ( I 1 λ 10 - m 2 λ 20 ) / 2 L .
( n 1 - n 2 ) std = ( I 1 λ 10 - m 2 λ 20 ) k / 2 L .