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Interference and difiraction - Harvard University

Chapter 9 Interference and diffractionCopyright 2010 by David Morin, 1, June 25, 2010)This file contains the Interference and diffraction chapter of a potential book on Waves, designedfor college this chapter we ll study what happens when waves from two or more sources exist at agiven point in space. In the case of two waves, the total wave at the given point is the sumof the two waves. The waves can add constructively if they are in phase, or destructively ifthey are out of phase, or something inbetween for other phases. In the general case of manywaves, we need to add them all up, which involves keeping track of what all the phasesare. The results in this chapter basically boil down to (as we ll see) getting a handle on thephases and adding them up properly.

4 CHAPTER 9. INTERFERENCE AND DIFFRACTION in an additive sense. To sum up, the multiplicative comparison of r2 and r1 (which is relevant for the amplitudes) involves the comparison of † and D, and we know that †=D is negligible in the far-fleld limit. But the additive comparison of r2 and r1 (which is relevant for the phases) involves the comparison of † and ‚, …

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