Abstract

Absorption cross-section values for polarized light have been measured for pink-ruby specimens by a multiple thickness correlation method. The values (in 10−20 cm2) are: σB = 38.1, σG = 22.8, σB = 22.5, σG = 7.23, σR1=1.22, σR2=0.975, σR2=0.263, and σR1=0.168, where B and G stand for the blue and green broad bands, R1, R2, the R-lines.

© 1966 Optical Society of America

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References

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  1. I. H. Malitson, F. V. Murphy, and W. S. Rodney, J. Opt. Soc. Am. 48, 72 (1958).
    [Crossref]
  2. M. A. Jeppesen, J. Opt. Soc. Am. 48, 629 (1958).
    [Crossref]
  3. J. A. Mandarino, Am. Mineralogist 44, 961 (1959); Am. Mineralogist 44, 65 (1959); Am. Mineralogist 40, 1055 (1955).
  4. These chemical analyses were performed by Dr. L. G. Hargis, now of Purdue University. The x-ray fluorescence measurements were carried out by S. B. Catalano of our laboratories.
  5. D. S. McClure, in Solid Stale Physics, ed. by F. Seitz and D. Turnbull (Academic Press, Inc., New York, 1959), 9, 399–525; J. Chem. Phys. 36, 2757 (1962); J. Chem. Phys. 38, 2289 (1963).
    [Crossref]
  6. Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 and 766 (1954).
    [Crossref]
  7. S. Sugano and Y. Tanabe, J. Phys. Soc. Japan 13, 880 and 899 (1958).
    [Crossref]
  8. D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
    [Crossref]

1964 (1)

D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
[Crossref]

1959 (1)

J. A. Mandarino, Am. Mineralogist 44, 961 (1959); Am. Mineralogist 44, 65 (1959); Am. Mineralogist 40, 1055 (1955).

1958 (3)

1954 (1)

Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 and 766 (1954).
[Crossref]

Barns, R. L.

D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
[Crossref]

Dodd, D. M.

D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
[Crossref]

Jeppesen, M. A.

Malitson, I. H.

Mandarino, J. A.

J. A. Mandarino, Am. Mineralogist 44, 961 (1959); Am. Mineralogist 44, 65 (1959); Am. Mineralogist 40, 1055 (1955).

McClure, D. S.

D. S. McClure, in Solid Stale Physics, ed. by F. Seitz and D. Turnbull (Academic Press, Inc., New York, 1959), 9, 399–525; J. Chem. Phys. 36, 2757 (1962); J. Chem. Phys. 38, 2289 (1963).
[Crossref]

Murphy, F. V.

Rodney, W. S.

Sugano, S.

S. Sugano and Y. Tanabe, J. Phys. Soc. Japan 13, 880 and 899 (1958).
[Crossref]

Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 and 766 (1954).
[Crossref]

Tanabe, Y.

S. Sugano and Y. Tanabe, J. Phys. Soc. Japan 13, 880 and 899 (1958).
[Crossref]

Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 and 766 (1954).
[Crossref]

Wood, D. L.

D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
[Crossref]

Am. Mineralogist (1)

J. A. Mandarino, Am. Mineralogist 44, 961 (1959); Am. Mineralogist 44, 65 (1959); Am. Mineralogist 40, 1055 (1955).

J. Appl. Phys. (1)

D. M. Dodd, D. L. Wood, and R. L. Barns, J. Appl. Phys. 35, 1183 (1964).
[Crossref]

J. Opt. Soc. Am. (2)

J. Phys. Soc. Japan (2)

Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 and 766 (1954).
[Crossref]

S. Sugano and Y. Tanabe, J. Phys. Soc. Japan 13, 880 and 899 (1958).
[Crossref]

Other (2)

These chemical analyses were performed by Dr. L. G. Hargis, now of Purdue University. The x-ray fluorescence measurements were carried out by S. B. Catalano of our laboratories.

D. S. McClure, in Solid Stale Physics, ed. by F. Seitz and D. Turnbull (Academic Press, Inc., New York, 1959), 9, 399–525; J. Chem. Phys. 36, 2757 (1962); J. Chem. Phys. 38, 2289 (1963).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

At wavelength λi, plots of absorption coefficient αijk vs thickness xj are shown for various values of refractive index nik. Average values ik with their deviations ik are also indicated to correspond with each trial nik.

Fig. 2
Fig. 2

Absorption coefficient α(cm−1) and absorption cross section σ(10−20 cm2) at 300°K as functions of wavelength λ(mμ) for Ec and Ec for Linde pink-ruby boule B-9 samples 6, 7, and 7 with an average Cr-concentration of 1.86 × 1019 cm−3. The points designated by circles refer to α0, σ0, those by triangles to αe, σe. The transmittance data were measured with the Beckman B spectrophotometer.

Fig. 3
Fig. 3

Absorption coefficient α(cm−1) and absorption cross section σ(10−20 cm2) as functions of wavelength λ(mμ) for Ec and Ec for pink-ruby boule B-9 samples 7 and 7. The points designated by circles refer to α0, σ0, those by triangles to αe, σe. The 300°K data were derived from transmittance data on pink ruby with an average Cr-concentration of 1.88 × 1019 cm−3, and were obtained using the Perkin–Elmer model 112 spectrophotometer with a fused-quartz prism.

Fig. 4
Fig. 4

Medium resolution absorption coefficient α(cm−1) and absorption cross-section σ(10−20 cm2) information as functions of wavelength λ(mμ) for Ec, α0 and σ0, and for Ec, αe and σe. The data were obtained with the monochromatic beam of the Perkin–Elmer model 112 spectrophotometer with a rock-salt prism, a tungsten lamp, linear polarizers, and an external multiplier phototube (RCA 7102) with quite narrow slits of the order of 20 μ. The sample was a 6.35 × 77.3-mm pink-ruby laser rod having a 90-degree c-axis orientation with respect to the rod axis, and a Cr-concentration of 1.58 × 1019 cm−3.

Tables (5)

Tables Icon

Table I The characteristics of Linde Company pink-ruby samples and the types of optical tests given to each set of samples.

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Table II A compilation of the absorption characteristics for polarized light for the broad bands of pink-ruby samples.

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Table III Band shapes and band peak ratios for the blue and green broad optical absorption bands of pink ruby from this work, in comparison with previous data.

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Table IV The ratios of the R-line components for polarized light as derived from this work, and as compared with previous measurements.

Tables Icon

Table V A compilation of optical-absorption cross sections for polarized light for the broad bands and for the R-lines of pink ruby. Data of others is also presented for comparison.

Equations (4)

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T i j = ( 1 R k ) 2 e α i j k x j / [ 1 R k 2 e 2 α i j k x j ]
R k = [ ( n k 1 ) / ( n k + 1 ) ] 2 .
α ¯ i k = 1 m j = 1 m α i j k .
i k = 1 m α ¯ i k j = 1 m | α i j k α ¯ i k | .