Implement the method by dividing the aperture into a finite number of segments. Use a unit system where lengths are measured as multiples of the wavelength of the incident light, 2.. Assume that the index of refraction n = 1.00 can be used for air. Further assume that the horizontal distance between source and aperture X is some large multiple of), and that the same distance is assumed between aperture and detector screen. Assume that the aperture size a is some small multiple of the wavelength. a) Compute the probability amplitude for the central detector height yd = 0 by using three paths (1) one going directly from source (at height ys = 0, i.e., on the x axis, via yi = 0 (at the aperture) towards the detector screen; (ii) then for two straight-line paths: one going via yi = a/2, and one vie yi =-a/2. The result should be three complex numbers. Show that these are unit-magnitude complex numbers.