For propagation along the z-axis, a medium supports left circular polarization with index of refraction n L

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For propagation along the z-axis, a medium supports left circular polarization with index of refraction nL and right circular polarization with index of refraction nR. If a plane wave propagating through this medium has E(z = 0, t) = x̂E exp(−iωt), find the values of z where the wave is linearly polarized along the y-axis.

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