Question 7.3: Any incident wave on the interface of two dielectrics may be...
Any incident wave on the interface of two dielectrics may be written in the form \boldsymbol{\textbf{E}} =\underline{E}_{//} \boldsymbol{{e}}_{//}+\underline{E} _\bot\boldsymbol{e}_\bot where \boldsymbol{e}_{//} and \boldsymbol{e}_⊥ are unit vectors that are perpendicular to the direction of propagation. \boldsymbol{e}_{//} is in the plane of incidence and \boldsymbol{e}_⊥ is perpendicular to this plane. a) Write in this form the expression of a plane wave that is incident at an angle θ and polarized linearly, polarized circularly and nonpolarized. b) Consider the case of a non-polarized incident wave. Calculate the energy reflection and transmission factors. It will be convenient to set n = n_2/n_1 . Determine the degree of polarization perpendicularly to the incidence plane for the reflected wave and for the transmitted wave. What are their values in the case of the incidence at the Brewster angle and at θ = 30° on the surface of the water.
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