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| Refractive index of fused quartz: Real part data | Click the browser's "Back" button to return to topic Parent topic |
Fig. 3. Real part, m', of the complex refractive index of fused quartz as a function of the wavelength, λ, in a range containing the anomalous dispersion ranges, according to data sources listed in Table 1: 7.14 to 11.11 µm - Zolotarev et al (1970), 7.14 to 15.15 µm - Popova et al (1972), 7.84 to 12.80 µm - Girin et al (1970), 8.13 to 9.63 µm - Boeckner (1929). In order to improve the visibility of the fits, all these data are represented by blue crosses. Please see Fig. 1 for all data identified by their respective references. A red curve represents a Sellmeier-type fit by Malitson (1965) (see Eq. 1) validated in a wavelength range of 3.80 to 6.70 µm by Tan (1998). Its application range is hereby arbitrarily extended to 7.759 µm in order to "splice" this fit and the two polynomial fits: blue and green curves, see Eq. 2 and Table 2). The polynomial fits are intendend to be used in wavelength ranges of 7.759 to 9.475 µm (6th degree polynomial) and 9.475 to 15.15 µm (5th degree polynomial) respectively. These ranges have been selected to maximize their respective r2 parameters (see Table 2) by trial-and-error. The blue-curve fit used data ranging from point (λ, m' ) = (7.6923, 0.74) to point (9.524, 2.98) in the ordered combined dataset referred to above. The green-curve fit used data ranging from point (9.52, 2.88) to point (15.15, 1.6), the last data point, except data points highlighted yellow in the graph. Note that the blue-curve and green-curve polynomial fits do not intersect in a wavelength range where these fits assume meaningful values. At a wavelength of ~9.475 µm the absolute difference between these two fits assumes a minimum value of 0.035 (1.1% of the average of the two fits). For comparison, the gray curve represents a mostly-linear piecewise fit by Dombrovsky (1996b): m' = 65/49(λ - 8.3)2 + 0.35 for λ = 7.6 to 9 µm, m' = 4(λ - 9) + 1 for λ = 9 to 9.5 µm, m' = 3 - 0.8(λ - 9.5) for λ = 9.5 to 10 µm, and m' = 2.6 - 0.5(λ - 10) for λ = 10 to 12 µm. All data are shown in Fig. 1. Data and fits for the short-wavelength normal dispersion region are shown in Fig. 2
| CITATION: Pilon L., Jonasz M. 2006. Refractive index of fused quartz: Real part (www.tpdsci.com/Tpc/RIQtzFsdRe.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 2006 Modified: 06-Oct-2006 Peer-reviewed: PENDING |
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