1. Temperature Dependences of Optical Path Length in Inorganic Glasses
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1 Reports Res. Lab. Asahi Glass Co., Ltd., 1. Temperature Dependences of Optical Path Length in Inorganic Glasses Akio Koike* and Naoki Sugimoto* Temperature dependences of optical path length (ds/dt; calculated using the equation, ds/dt = dn/dt + na, where a is the coefficient of thermal expansion, n is the refractive index and dn/dt is the temperature coefficient of refractive index) in various oxide glasses were investigated. The ds/dt is generally difficult to be controlled by change of glass composition because dn/dt and a are interrelated. This experiment also showed that the values of ds/dt for most glasses ranged between 1 ppm/ and 2 ppm/ except for bismuthate glasses. Pure silica glass is well-known as a typical material with low ds/dt. However, fluorine-doped silica glass showed a lower ds/dt than that of pure silica glass. By fluorine-doping in silica glass, refractive index and dn/dt decreased but a stayed at the same level near room temperature. As a result, the ds/dt decreased with increasing fluorine concentration. On the other hand, a bismuthate glass showed the highest ds/dt in this study. Although most glasses having high a such as tellurite glass showed negative dn/dt, bismuthate glasses showed positive dn/dt in spite of high a. It was assumed that bismuthate glass showed high dn/dt due to high polarizability of Bi 2 O 3 which is similar to PbO. These results indicate that ds/dt of glass can be designed by considering the electronic configuration of its components and the glass structure. 1. Introduction = D = α + a
2 = α + b ρ β = ρ r f φ = + = φ β b a + = φ α a a a 2. Experimental = a 3. Results f a
3 Reports Res. Lab. Asahi Glass Co., Ltd., Glass Table 1 Oxide Glass Compositions in This Study. Glass composition Silica glass 1 Pure silica glass by VAD Silica glass 2 Ti-doped silica glass (Ti : 7 mole%) (9) Silica glass 3 Silica glass 4 Silica glass 5 Silica glass 6 Silica glass 7 Silica glass 8 Silica glass 9 Silicate glass 1 Silicate glass 2 Silicate glass 3 Titanium silicate glass 1 Titanium silicate glass 2 F-doped silica glass (F : 3 ppm in weight) F-doped silica glass (F : 5 ppm in weight) F-doped silica glass (F : 8 ppm in weight) F-doped silica glass (F : 1 ppm in weight) F-doped silica glass (F : 12 ppm in weight) F-doped silica glass (F : 135 ppm in weight) F-doped silica glass (F : 16 ppm in weight) Commercial window glass Non-alkaline glass, SiO2-Al2O3-B2O3-RO system 5SiO2-25Al2O3-5TiO2-2R2O 4SiO2-25TiO2-25R2O-1RO 5SiO2-25TiO2-25R2O Calcium aluminate glass 58CaO-28Al2O3-7SiO2-7MgO Tellurite glass 1 6TeO2-2ZnO-2WO3 (1), (11) Tellurite glass 2 75TeO2-2ZnO-5Na2O Bismuthate glass 1 Bi2O3 rich glass (Bi2O3 : 4 mole %) Bismuthate glass 2 Bi2O3 rich glass (Bi2O3 : 4 mole %) Bismuthate glass 3 Bi2O3 rich glass (Bi2O3 : 65 mole %) RO means the sum of alkaline earth oxide components such as MgO, CaO, SrO and BaO R2O means the sum of alkaline oxide components such as Li2O, Na2O and K2O Table 2 Obtained Thermo-optic Data in Various Oxide Glasses. Glass n155 dn155/dt a5~65 f ds/dt (ppm/) (ppm/) (ppm/) (ppm/) Silica glass Silica glass Silica glass Silica glass Silica glass Silica glass Silica glass Silica glass Silica glass Silicate glass Silicate glass Silicate glass Titanium silicate glass Titanium silicate glass Calcium aluminate glass Tellurite glass Tellurite glass Bismuthate glass Bismuthate glass Bismuthate glass a a
4 dn/dt (ppm/) Silica glass Silicate glass Titanium silicate glass Calcium aluminate glass Tellurite glass Bismuthate glass ds/dt (ppm/) dn/dt (ppm/) This study Fluoride glass (14) (21) xpbo-(1-x)sio 2 xpbo-.5na 2 O-(.95-x)SiO 2 (21).3PbO-.15Na 2 O-.55SiO 2 (21) Fluoro-phoshate Fluorozirco-aluminate Fluoro-phoshate ds/dt (ppm/) Fig. 1 a 4. Discussion Relationship between dn/dt and na in various oxide glasses. a a a a a a Fig. 2 Relationship between dn/dt and n a in fluoride glasses (14) and lead glasses (21). Data of fluoride glasses () were measured by the light of 633 nm in wavelength. Data of lead glasses (,, ) were measured by the light of 589 nm in wavelength. Numbers added to the data of lead glasses mean mole fraction of lead component. For comparison, data obtained in this experiment () are also shown. Fig. 3 n Refractive indices (n 155) of various concentrations of F-doped silica glasses at 25. a
5 Reports Res. Lab. Asahi Glass Co., Ltd., Fig. 4 dn155/dt (ppm/) Temperature coefficients of refractive index (dn 155/dT) of various concentrations of F- doped silica glasses. Fig Coefficient of average thermal expansion from 5 to 65 of various concentrations of F-doped silica glasses Temperature () 135 ppm Non-doped 3 ppm 8 ppm 1 ppm 135 ppm Fig. 5 Temperature dependence of a in various concentrations of F-doped silica glasses. a a a a a Fig. 7 ds/dt (ppm/) Temperature coefficients of optical path length (ds/dt) of various concentrations of F- doped silica glasses. a Å Å
6 a a a a a 5. Conclusion a a a a a a References
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