Topics in Particle and Dispersion Science

Complex refractive index of fused quartz: Real part

Prev topic | Next topic Fig. 1, Fig. 2, Fig. 3

Experimental data on the real part of the complex refractive index of fused quartz are shown in Fig. 1. The data sources are listed in Table 1. Some of these data have been inferred by Pilon L 2002 from the emittance, transmittance, and reflectance data as listed in the relevant references.

The spectra of the real part of the refractive index of fused quartz in the various wavelength ranges have been described by various formulas in the various spectral ranges. For example, Rodney WS and Spindler 1954a developed a Sellmeier-type formula for a spectral range of 0.347 to 3.508 µm at 31°C, while Tan CZ and Arndt 2000 proposed a formula for a spectral range of 1.44 to 4.77 µm at temperatures ranging from 23.5 to 481°C. Malitson IH 1965 developed the following formula for a spectral range 0.21 to 3.71 µm at 20°C:

m' 2 (λ) = 1 + ∑i = 0 to n

ai λ2 λ2 - bi2

(1)

where coefficients a_i and b_i are listed in Table 2. Tan CZ 1998 confirmed the validity of Eq. 1 for wavelengths up to 6.7 µm. Therefore, due to its wide spectral range (from 0.21 to 6.7 µm) at room temperature, Eq. 1 is widely used. The Malitson fit to experimental data in a normal dispersion wavelength-range of 0.21 to 6.7 µm is shown in Fig. 2.

Although a piecewise linear fit was given by Dombrovsky LA 1996b to data in the "anomalous" part of the wavelength range (i.e. ~8 to 9.5 µm), the following two-part least squares polynomial fit can be also proposed:

m' (λ) = ∑i = 0 to n   ai λi

(2)

where the coefficients, a_i, are listed in Table 2. These fits are shown in Fig. 3.

If one allows the range of the Sellmeier-type fit of Malitson 1965 (Eq. 1) to extend slightly, then Eq. 1 and two equations of the Eq. 2 type, each for one of two consecutive spectral ranges (Table 2), form a comprehensive approximation to the refractive index of fused quartz as a function of the wavelength of radiation in a range of 0.21 to ~15 µm at room temperature (Fig. 2 and Fig. 3).

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: 08-Aug-2006 Peer-reviewed: PENDING

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