Optimization of Material Design through Correlation Statistics

2 Optimization of Material Design through Correlation Statistics 

To Introduce the ideas used in the optimization of material design, let us return to the problem of the dispersion and the TO coefficient, as Introduced in section 7.4.I.3. In short, the refractive index of the sensing medium (i.e., the ChG glass) can vary not only as a function of the wavelength of the incident IR light, known as dispersion or dn/dX but also as a function of the temperature, characterized by the TO coefficient, dn/dT. Let consider a sensor design that requires 

To clarify the details of the process of using r to design glass compositions. Table 7.2 shows the elemental compositions, thermal properties, and optical properties of Schott s IG series of glasses as taken from their published datasheets. 

The Pearson correlation coefficient, r, between the elemental compositions and the properties can be calculated using the following equation  

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