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HW 4 Submission date: 10/01/2018 before 12:00 AM, bring to my office. Answer to the following questions. Give mathematical expressions and physical explanations if it is necessary What is polarization of light? (Electromagnetic formulations should be given) What is the difference between polarized light and nonpolarized light? How can polarized light be created? (Explain in detail the physical background) Polarization states: Linear, Circular and Elliptic (Give mathematical formulations and draw graphics) TM and TE polarizations: Reflection and Refraction (Mathematical formulations) How does polarization by reflection work? What is Brewsters angle? (Mathematical expression and physical explanations) Where do we use polarization in real-life? (Give several examples of polarization applications) 1. 2. 3. 4. 5. 6. 7. 8. Solve the following problems from your text book, Chapter6 6.2-4 Reflectance of Glass. A plane wave is incident from air (n 1) onto a glass plate (n 1.5) at an angle of incidence of 40° Determine the power reflectances of the TE and TM waves. What is the average reflectance for unpolarized light (light carrying TE and TM waves of equal intensities)? Refraction at the Brewster Angle. Use the condition law, mi siu0, Tig sin θ2, to derive (6.2-12) for the Brewster angle. Also show that at the Brewster angle, θ] + 2-90. so that the directions of the reflected and refracted waves are orthogonal, and hence the electric field of the refracted TM wave is parallel to the direction of the reflected wave. The reflection of light may be regarded as a scattering process in which the refracted wave acts as a source of radiation generating the reflected wave. At the Brewster angle, this source oscillates in a direction parallel to the direction of propagation of the reflected wave, so that radiation cannot occur and no TM light is reflected. Retardation Associated with Total Internal Reflection. Determine the phase retardation between the TE and TM waves that is introduced by total internal reflection at the boundary between glass (n 1.5) and air (n-1) at an angle of incidence θ-1.20,, where 0, is the crtical angle 6.2.5 sec 6,-n2sec02 and Snells 6.2-6
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