Borosilicate Crown Glass

Borosilicate Crown Glass - of refraction n the Frst...

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Borosilicate Crown Glass Properties Borosilicate crown glass is an isotropic dielectric that is widely used in optics for lenses and for integrated optics substrates. The index of refraction of such glasses as a function of wavelength may be accurately represented using a Sellmeier equation of the form n 2 = A + G 1 λ 2 λ 2 - λ 2 1 + G 2 λ 2 λ 2 - λ 2 2 + G 3 λ 2 λ 2 - λ 2 3 , where A , λ k , and G k are called the Sellmeier coeﬃcients. The quantities λ k and G k represent resonant wavelengths and oscillator strengths respectively. To determine the group velocity, a knowledge of the Frst derivative is needed. Likewise, to determine the dispersion, a knowledge of the second derivative is needed. ±or borsilicate crown glass, A =1 , G 1 =1 . 03961, λ 1 =77 . 464 nm , G 2 =0 . 23179, λ 2 = 141 . 485 nm , G 3 =1 . 01047, λ 3 =10 , 176 . 475 nm . ±or a freespace wavelength of λ = 589 . 3 nm

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Unformatted text preview: of refraction n , the Frst derivative dn/dÎ» in Î¼m-1 , and the second derivative d 2 n/dÎ» 2 in Î¼m-2 . Also, calculate, showing all work, the dispersion parameter D in ps/km/nm for an optical Fber made of this glass, the bulk-material phase velocity as a fraction of the speed of light, the bulk-material phase velocity in meters/sec , the bulk-material group velocity as a fraction of the speed of light, and the bulk-material group velocity in meters/sec . Express your answers accurately to within four signiFciant Fgures. Put your Fnal answers in the spaces provided. n = dn/dÎ» = Î¼m-1 d 2 n/dÎ» 2 = Î¼m-2 D = ps/km/nm v p /c = v p = meters/sec v g /c = v g = meters/sec...
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This note was uploaded on 04/29/2008 for the course ECE 4500 taught by Professor Gaylord during the Spring '08 term at Georgia Tech.

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Borosilicate Crown Glass - of refraction n the Frst...

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