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2. Two linearly polarized plane waves of equal amplitude vibrating in the YZ plane coincide in time and space in the same region, so that an interference pattern is formed. These waves are described by the following expressions: Ē₁ = (50,0 ĵ + 86,7 k) e¹[3.5 × 10¹5t- (10.1 y-5.8 z)10°] [V/m] Ē₂ = (−34,2 ĵ + 94,0 k) e¹[3.5 × 10¹5t- (10,9 y-4.0 z)10°] [V/m] 2.1. Determine the irradiance in plane y = 0. (10 points) 2.2. Calculate the maximum intensity (Imax) and the minimum intensity (Imin). From these values, determine the interferential contrast defined as: C = Imax-Imin (6 points) Imax+1min 2.3. Show analytically that the interferential contrast can be expressed as C = uz Uz where ₁ and ₂ is the direction in which each electric field oscillates. (6 points) 2.4. Determine the separation between two bright fringes (int) (4 points) 2.5. Determine the spatial average of the irradiance distribution (4 points)
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