The intensity in single-slit diffraction can be calculated by summing infinitely many
Chapter 32, Problem 68(choose chapter or problem)
The intensity in single-slit diffraction can be calculated by summing infinitely many electric-field amplitudes corresponding to waves from every infinitesimal part of the slit. (a) Referring to Fig. 32.20, show that the field from an element of width dy in the slit, a distance y from the bottom edge, is where (b) Integrate dE over the entire slit (y from 0 to a) and use trig identities from Appendix A to find the total amplitude, and from there show that the intensity is given by Equation 32.10.
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