Consider the resulting interference pattern from two slits, $1 and $2 on a screen a distance s apart as shown in the Hecht Figure below. Following along with Hecht's derivation in Chapter 9, calculate: Figure 9.11 Young's Experiment. (a) Cylindrical waves superimposed in the region beyond the aperture screen. (b) Overlapping waves showing peaks and troughs. The maxima and minima lie along nearly straight hyperbolas. (c) The geometry of Young's Experiment. [of A path length difference of one wives length corresponds to m = = 1 and the first-order maximum. [el (fit. Cagnet, M. Francon, and J. C. Thier, Artas optischer Erscheinungon, Berin-Heidelberg-New York Springer 1962 1 a) The position of the mth bright fringe (ym). b) The angle of the mth bright fringe. c) The spacing between bright fringes. d) The irradiance as a function of y, a, s, and 1. e) Using a computer, plot the first ~5-10 bright fringes of the irradiance y dependence using a computer program, for a = 5 um, s= 1 m, 1 = 650 nm