2. A plane wave (wavelength 2) of intensity I, is propagating in the z-direction. A large...

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2. A plane wave (wavelength 2) of intensity I, is propagating in the z-direction. A large cardboard is placed on the x-y plane to block all the light in the lower-half plane y <0. At a distance z away from the cardboard, we would observe the light distribution along y-direction to be like the left figure below. Use Fresnel diffraction formula and the Cornu Spiral provided below to find the location of P on the y-axis. (12%) I (X) Io. 0 1.04 3.0 5.0 2.0 +(M) 6 2.5 +0.7- +0.6 +0.5+ +0.4 -0.8 -0.7 -0.6 -0.5 -0.4 -0,3-0,2-0,1 -0,5 +0.3+ +0.2- +0.1 -0.1 -0.2 -0.3+ -0.4 -0.5- -0.6 1.5 -0.7 2.5 %BC 20-10 4.0 +0.5 00 +0,1 +0.2 +0,3 +0,4 +0.5 +0.6 +0,7 +0,8 8(w) 2.0 3.5 5.0 3 3.0 -4.5 4-4 $1.0 2. A plane wave (wavelength 2) of intensity I, is propagating in the z-direction. A large cardboard is placed on the x-y plane to block all the light in the lower-half plane y <0. At a distance z away from the cardboard, we would observe the light distribution along y-direction to be like the left figure below. Use Fresnel diffraction formula and the Cornu Spiral provided below to find the location of P on the y-axis. (12%) I (X) Io. 0 1.04 3.0 5.0 2.0 +(M) 6 2.5 +0.7- +0.6 +0.5+ +0.4 -0.8 -0.7 -0.6 -0.5 -0.4 -0,3-0,2-0,1 -0,5 +0.3+ +0.2- +0.1 -0.1 -0.2 -0.3+ -0.4 -0.5- -0.6 1.5 -0.7 2.5 %BC 20-10 4.0 +0.5 00 +0,1 +0.2 +0,3 +0,4 +0.5 +0.6 +0,7 +0,8 8(w) 2.0 3.5 5.0 3 3.0 -4.5 4-4 $1.0

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