Home | Survey | Topics | Index | References | Dictionary | Contributing | Gallery | Community
| Refractive index of fused quartz: Fits | Parent topic |
| Table 2. Fits to spectral data on the real part, m', of the complex refractive index of fused quartz at room temperature. Please consult Fig. 3 regarding comments on "splicing" these approximations and on the selection of data that yields the polynomial fit coefficients. |
||||
| Fit type → | Sellmeier | Fit type → | Least squares, orthogonal polynomials | |
| Reference → | Malitson (1965) and Tan (1998) see Eq. 1 |
Reference → | this work a see Eq. 2 |
this work a see Eq. 2 |
| Spectral range, µm → | 0.21 to 7.759b | Spectral range, µm → | 7.759 to 9.475 | 9.475 to 15.15 |
| r2 c → | 0.950d | 0.946 | ||
| Coefficient | Value | Coefficient | Value | Value |
| a0 | 0.6961663 | a0 | -1.8224749757E+06 | -6.6251631E+02 |
| b0 | 0.0684043 | a1 | +1.3094702327E+06 | +2.9581519E+02 |
| a1 | 0.4079426 | a2 | -3.9141926081E+05 | -5.1285823E+01 |
| b1 | 0.1162414 | a3 | +6.2303426938E+04 | +4.3488010E+00 |
| a2 | 0.8974794 | a4 | -5.5696507762E+03 | -1.8098430E-01 |
| b2 | 9.8961610 | a5 | +2.6513345017E+02 | +2.9647200E-03 |
| a6 | -5.2505938445E+00 | |||
| a - The polynomial fit coefficients have been truncated. They have to be used as stated in order to calculate m' to within 0.001 of the values obtained with the full-precision coefficients' values. b - arbitrarily extrapolated from the application range of 6.70 µm validated by Tan (1998) c - parameter r2 is a coefficient of correlation between the input and polynomial-approximated m' d - by increasing the polynomial degree to 7, r2 is increased from 0.9504 to 0.9535. |
||||
| CITATION: Pilon L., Jonasz M. 2006. Complex 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 |
| Copyright 2005-2008 MJC Optical Technology. All rights reserved. | Terms of use | Menu |