# HW6+Sol - 1(A Find the thicknesses of a particular...

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1. (A) Find the thicknesses of a particular birefringent crystal (n 1 = 1.4737 and n 2 = 1.4714) needed to produce λ /4, λ /2, and λ retardation plates, respectively, for the Argon laser line ( λ = 488 nm). Retardation Δ = d·(n 1 – n 2 ) d = Δ (n 1 – n 2 ) where (n 1 –n 2 )=0.0023 For the λ /4-retardation, d( λ /4) = λ 4 0.0023 = 53 μ m For the λ /2-retardation, d( λ /2) = λ 2 0.0023 = 106 μ m For the λ -retardation, d( λ ) = λ 4 0.0023 = 212 μ m (B) Explain, including a sketch of the polarization states, how you can use these retarders (in combination with a linear polarizer) to produce: Since n 1 > n 2 , n 1 is the slow axis and n 2 the fast axis . (a) right circular polarized light

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(b) left circular polarized light (c) 90° rotation of plane-polarized light fast slow Light Propagation Light Polarization 90° Rotation of Linear Polarization ! /2 plate
(C) How do you produce with the help of the above mentioned optical elements elliptically polarized light? (Explain and make a sketch.)

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2. You are working with a linearly polarized
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