ch35-p024 - Since the y axis corresponds to a minimum phase...

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24. Imagine a y axis midway between the two sources in the figure. Thirty points of destructive interference (to be considered in the xy plane of the figure) implies there are 7171 5 ++ = on each side of the y axis. There is no point of destructive interference on the y axis itself since the sources are in phase and any point on the y axis must therefore correspond to a zero phase difference (and corresponds to θ = 0 in Eq. 35-14). In other words, there are 7 “dark” points in the first quadrant, one along the + x axis, and 7 in the fourth quadrant, constituting the 15 dark points on the right-hand side of the y
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Unformatted text preview: Since the y axis corresponds to a minimum phase difference, we can count (say, in the first quadrant) the m values for the destructive interference (in the sense of Eq. 35-16) beginning with the one closest to the y axis and going clockwise until we reach the x axis (at any point beyond S 2 ). This leads us to assign m = 7 (in the sense of Eq. 35-16) to the point on the x axis itself (where the path difference for waves coming from the sources is simply equal to the separation of the sources, d ); this would correspond to = 90 in Eq. 35-16. Thus, d = ( 7 + 1 2 ) = 7.5 7.5 d = ....
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