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Unformatted text preview: 147 & 2 2 sin represents the diffraction pattern produced by a single slit and the second term represents the interference pattern produced by N equally spaced slits. For N=1 eqn. (3) reduces to the single slit diffraction pattern and for N=2, to the double slit diffraction pattern. I.3 Principal Maxima When the value of N is very large, one obtains intense maxima at =m i.e. when m d = sin , m =0, 1, 2, (Maxima) (4) Thus it can be easily seen by noting that N N N N m m = = cos cos sin sin lim lim Thus, the resultant amplitude will be sin ) ( NA E = and the corresponding intensity distributions are given by , sin 2 2 2 I N I = where d bm b = = sin Such maxima are known as principal maxima. Physically, at these maxima the fields produced by each of the slits are in phase and therefore, thay add up and the resultant fields is N times the field produced by each of the slits. fields is N times the field produced by each of the slits....
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This note was uploaded on 11/26/2011 for the course PHY 2053 taught by Professor Lind during the Fall '09 term at FSU.
- Fall '09