In Chapter 23, the Fresnel equations are derived, showing that the fraction r of the incid...

In Chapter 23, the Fresnel equations are derived, showing that the fraction r of the incident field that is reflected from a dielectric plane surface for the TE polarization mode is given by Eq. (23-27). Thus, the reflectance R = r2 has the form,

where θ is the angle of incidence and n is the ratio n2/n1.

a. Calculate the reflectance R for the TE mode when the light is incident from air onto glass of n = 1.50 at the polarizing angle.

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b. The reflectance calculated in part (a) is also valid for an internal reflection as light leaves the glass going into air. This being the case, calculate the net fraction of the TE mode transmitted through a stack of 10 such plates relative to the incident irradiance I0. Assume that the plates do not absorb light and that there are no multiple reflections within the plates.

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c. Calculate the degree of polarization P of the transmitted beam, given by

 

where I stands for the irradiance of either polarization mode.