1. (a) Show that the transmission intensity through a sample of thickness z and absorption coefficient a with incident i
Posted: Fri Apr 29, 2022 11:00 am
- 1 A Show That The Transmission Intensity Through A Sample Of Thickness Z And Absorption Coefficient A With Incident I 1 (97.23 KiB) Viewed 27 times
part (a) and (b) not needed thanks
1. (a) Show that the transmission intensity through a sample of thickness z and absorption coefficient a with incident intensity lo is given by: 1, =1, exp(-oz) [3 marks) (b) Derive the relationship between the absorption coefficient a and the extinction coefficient k for light travelling through an absorbing material. [4 marks] (c) Show how the equation in (a) above is modified when the reflectivity of the surfaces is taken into account. [4 marks] (d) A piece of doped glass of length 10 mm has a refractive index of 1.50 and absorbs 99.8% of light at a wavelength of 808 nm. What is its complex dielectric constant at this wavelength? [8 marks] (e) Sketch the frequency dependence of the real and imaginary parts of the dispersion of both the dielectric constant and the refractive index of a solid with a single resonance and indicate how the reflectivity spectrum is derived from these spectra. Explain the main features of these spectra. [6 marks] The Fresnel reflectivity for light incident perpendicular to a surface of a solid of refractive index nz from a media of refractive index nq is R=(n, -n)? (n2 +n)?