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(25 points) The Fresnel equations for a ray of light in air (refractive indexni= 1) that is incidentat an angleion water with refractive indexnt= 1:33,

image text in transcribed(25 points) The Fresnel equations for a ray of light in air (refractive indexni= 1) that is incidentat an angleion water with refractive indexnt= 1:33, tell us that the re ectivities of the watersurface for light polarized parallel and perpendicular to the plane of incidence (RpandRs) aregiven by:Rp=ntcosicostcost+ntcosi2Rs=cosintcostcosi+ntcost2where the transmitted ray angletcan be found from Snell's law:nisini=ntsintWrite a MatLab program that creates a plot showing the re ectivities for both parallel andperpendicular polarization as a function of angle fori= 0toi= 90on the same graph. Your1 x-axis needs to be plotted in degrees, not radians, and the two curves should be plotted withdi erent line types, together with a legend denoting the curves. Add labels for both axes andinsert an appropriate title at the top of the gure.

3. (25 points) The Fresnel equations for a ray of light in air (refractive index n -1) that is incident at an angle on water with refractive index nt-1.33, tell us that the reflectivities of the water surface for light polarized parallel and perpendicular to the plane of incidence (Rp and Rs) are given by: 2 where the transmitted ray angle t can be found from Snell's law: Write a MatLab program that creates a plot showing the reflectivities for both parallel and perpendicular polarization as a function of angle for -0 to 90 on the same graph. Your x-axis needs to be plotted in degrees, not radians, and the two curves should be plotted with different line types, together with a legend denoting the curves. Add labels for both axes and insert an appropriate title at the top of the figure. I need to see what the MATLAB code looks like please

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