Aluminum (Al) has a free electron density of N = 18.1x10^22cm-3 (three valence electrons per atom) and a dephasing time of 8fs. the effective mass of the conduction electron in Al is 0.99me where me is the mass of the free electron.

a. plot the real and imaginary part of the dielectric function (both on same graph as a function of frequency.

b. plot the real and imaginary part of the refractive index (both on the same graph) as a function of frequency.

c. plot the Fresnel reflection coefficient as a function of wavelength in nm.