Lec20 - Diffraction grating : There are different kinds of...

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Unformatted text preview: Diffraction grating : There are different kinds of diffraction grating, with many applications in spectroscopy. We consider here one type of grating, which is a set of N 1 slits or rulings, each of width b , at distance a from one another, so that the total width of the grating d = ( N- 1) a Na . We have already found the result for the case N = 2. We can treat the diffraction grating as a collection of pairs of slits. For each pair we can take the solution we have found, and only superpose the waves from such pairs. We give each pair an index j [1 , N 2 ]: P E L r e i ( kr- t ) N 2 j =1- (2 j- 1) a- b 2- (2 j- 1) a + b 2 e iks sin ds + (2 j- 1) a + b 2 (2 j- 1) a- b 2 e iks sin ds E L r e i ( kr- t ) N 2 j =1 F j 82 F j = 1 ik sin e iks sin - (2 j- 1) a- b 2- (2 j- 1) a + b 2 + e iks sin (2 j- 1) a + b 2 (2 j- 1) a- b 2 = 1 ik sin e- ik sin (2 j- 1) a- b 2- e- ik sin (2 j- 1) a + b 2 + e ik sin (2 j- 1) a- b 2- e ik sin (2 j- 1) a + b...
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This note was uploaded on 07/19/2011 for the course PH 113 taught by Professor Liorburko during the Spring '09 term at University of Alabama - Huntsville.

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Lec20 - Diffraction grating : There are different kinds of...

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