Unformatted text preview: x axis from the similar one along the – x axis, we label one with n = +3.2 and the other n = –3.2. This labeling facilitates the complete enumeration of the loud directions in the upperhalf plane: n = –3, –2, –1, 0, +1, + 2, +3. Counting also the “other” –3, –2, –1, 0, +1, +2, +3 values for the lowerhalf plane, then we conclude there are a total of 7 + 7 = 14 “loud” directions. (b) The labeling also helps us enumerate the quiet directions. In the upperhalf plane we find: n = – 2.5, –1.5, –0.5, +0.5, +1.5, +2.5. This is duplicated in the lower half plane, so the total number of quiet directions is 6 + 6 = 12....
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 Spring '09
 NAJAFZADEH
 mechanics, Diffraction, Wavelength, lower half plane, upperhalf plane

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