3. The Fraunhoffer diffraction pattern from an aperture is proportional to its 2D Fourier Trans- form. You will learn ab

[answerhappygod]

3 The Fraunhoffer Diffraction Pattern From An Aperture Is Proportional To Its 2d Fourier Trans Form You Will Learn Ab 1 (63.73 KiB) Viewed 41 times

3. The Fraunhoffer diffraction pattern from an aperture is proportional to its 2D Fourier Trans- form. You will learn about diffraction of light in your future courses. In this problem you will apply the methods you have learned to compute a 2D Fourier Transform in MatLab to visualize 1 the diffraction pattern from two common apertures that are used in many optical experiments. Consider the two aperture functions f(x,y)= = rect and f(x,y) = cyl where =4 otherwise *]-{1 cyl r = 4 0 otherwise (a) Calculate the 2D Fourier transform (i.e. Fraunhoffer diffraction pattern) of the two aperture functions for d, 20, d, 100, d. = 50 and 512 sample points (per dimension). You can use the function files rect2D.m and circ.m on the D2L site to create your apertures. Read through these files and identify the inputs and outputs expected from these functions. Example on how to use the function is provided in the files. Calculate the 2D Fourier Transform of the two apertures. You should get two complex array of numbers. For each aperture create a 1x2 subplot showing your aperture and the magnitude of the corresponding Fourier Transform. You may use the imagesc() command to display your images. (b) For each aperture plot the line sample through the center row of your diffraction pattern. Do these results look similar to any functions we have discussed in this class? When answering this question take into consideration that you are taking a line sample through the magnitude of the diffraction pattern so anything that was a negative amplitude will be turned into a positive amplitude. 1: <