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2. Figure 1 shows an optic experiment about polarization. There are two light sources, denoted as Laser 1 and Laser 2. Both light sources

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2. Figure 1 shows an optic experiment about polarization. There are two light sources, denoted as "Laser 1" and "Laser 2". Both light sources are laser and have identical wavelength. Both laser light passes through a linear polarizer with transmission axis (TA) orthogonal to each other. The polarized beam coincides at a prism (without inducing any phase difference between them) prior to entering a Kerr Cell. An electric field has been applied across the Kerr cell along the y-axis. The emerged beam entered a detector to be further analyzed. Laser 16 Linear Polarizer Laser 20 OTA prism Mirror Kerr Cell Detector Figure 1: Experimental Setup on polarization of light. (a). Describe the state of light for both lasers upon emerging from the linear polarizer. [2 marks] (b). Write the wave equations with vector notations based on your description in 2(a). You have to denote each parameter declared. [2 marks] (c). The amplitude of the EM wave prior to entering the linear polarizer is E, while that emerged from the linear polarizer will be E. Construct a mathematical relating E, to E. (Hint: you may use Malus law and the equation about irradiance). [10 marks] (d). The given electric field amplitude for laser 1 and 2 are 6 and 8 V/m respectively prior to entering the linear polarizer. Determine the

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