Edgar E. Russell and Ely E. Bell, "Measurement of the Optical Constants of Crystal Quartz in the Far Infrared with the Asymmetric Fourier-Transform Method*," J. Opt. Soc. Am. 57, 341-348 (1967)
The optical constants of crystal quartz in the far infrared (10–400 cm−1) are presented along with the dispersion parameters for the two ordinary-ray bands measured in this study. The asymmetric Fourier-transform method was used for the quantitative measurement of the refractive indices of quartz. The advantages of this method as compared with the channeled-spectrum method usually employed for refractive-index measurements in the far infrared are discussed. The extrapolated, zero-frequency refractive indices of quartz are n0(0)=2.106±0.001 and ne(0)=2.154±0.001. A pseudocoherence effect is described which permits the measurement of the difference of the principle refractive indices in a birefringent sample without the use of a polarizer.
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The total, estimated probable error in the measured values of the refractive indices is ±0.001 except at frequencies less than 25 cm−1 and greater than 175 cm−1, where the error can be somewhat greater.
The estimated probable error in the measured absorption coefficients is approximately ±100% for α<0.2; ±50% for 0.2<α<0.4; ±20% for 0.4<α<0.8; and ±10% for α>0.8.
The bracketed values of the extraordinary-ray refractive indices were interpolated from the neighboring values.
Table II
Refractive-index differences |n0−ne| for quartz measured using the pseudocoherence effect.
Extrema of even (odd) order numbers correspond to maxima (minima) of the pseudointerference.
Uncorrected data.
Data have been approximately corrected for the effect of the ordinary-ray band near 128 cm−1.
Table III
Dispersion parameters for crystal quartz which reproduce the measured far-infrared refraction spectra within experimental error.a
Ordinary ray (E⊥C)
Extraordinary ray (E||C)
νj(cm−1)
Sj
γj
νj(cm−1)
Sj
γj
1227
0.009
0.11
1220
0.011
0.15
1163
0.010
0.006
1080
0.67
0.0069
1072
0.67
0.0071
778
0.10
0.010
797
0.11
0.009
539
0.006
0.04
697
0.018
0.012
509
0.05
0.014
450
0.852
0.0090
495
0.699
0.0090
394
0.36
0.007
364
0.72
0.014
263
0.050
0.028
128.4
0.0006
0.035
The dispersion parameters given for bands with eigenfrequencies greater than 300 cm−1 were measured by W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1324 (1961). However, their values for the strengths of bands with eigenfrequencies 300<νj<500 cm−1 have been increased to give agreement with the far-infrared refraction spectra measured in the present study.
The total, estimated probable error in the measured values of the refractive indices is ±0.001 except at frequencies less than 25 cm−1 and greater than 175 cm−1, where the error can be somewhat greater.
The estimated probable error in the measured absorption coefficients is approximately ±100% for α<0.2; ±50% for 0.2<α<0.4; ±20% for 0.4<α<0.8; and ±10% for α>0.8.
The bracketed values of the extraordinary-ray refractive indices were interpolated from the neighboring values.
Table II
Refractive-index differences |n0−ne| for quartz measured using the pseudocoherence effect.
Extrema of even (odd) order numbers correspond to maxima (minima) of the pseudointerference.
Uncorrected data.
Data have been approximately corrected for the effect of the ordinary-ray band near 128 cm−1.
Table III
Dispersion parameters for crystal quartz which reproduce the measured far-infrared refraction spectra within experimental error.a
Ordinary ray (E⊥C)
Extraordinary ray (E||C)
νj(cm−1)
Sj
γj
νj(cm−1)
Sj
γj
1227
0.009
0.11
1220
0.011
0.15
1163
0.010
0.006
1080
0.67
0.0069
1072
0.67
0.0071
778
0.10
0.010
797
0.11
0.009
539
0.006
0.04
697
0.018
0.012
509
0.05
0.014
450
0.852
0.0090
495
0.699
0.0090
394
0.36
0.007
364
0.72
0.014
263
0.050
0.028
128.4
0.0006
0.035
The dispersion parameters given for bands with eigenfrequencies greater than 300 cm−1 were measured by W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1324 (1961). However, their values for the strengths of bands with eigenfrequencies 300<νj<500 cm−1 have been increased to give agreement with the far-infrared refraction spectra measured in the present study.