1071_Physics ProblemsTechnical Physics

1071_Physics ProblemsTechnical Physics - 412 *P38.7...

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412 Diffraction Patterns and Polarization *P38.7 The rectangular patch on the wall is wider than it is tall. The aperture will be taller than it is wide. For horizontal spreading we have tan . . . sin . . θ θλ width width width width width m2 m m 0.012 2 m == = = = × y L a a 0110 45 00122 1 632 8 10 518 10 9 5 For vertical spreading, similarly tan . . . sin . . λ height height m m 0.000 667 m × 0006 0000667 16 3 2 8 1 0 949 10 9 4 a h P38.8 Equation 38.1 states that sin = m a , where m ± ± 123 ,,, . The requirement for m = 1 is from an analysis of the extra path distance traveled by ray 1 compared to ray 3 in Figure 38.5. This extra distance must be equal to 2 for destructive interference. When the source rays approach the slit at an angle β , there is a distance added to the path difference (of ray 1 compared to ray 3) of a 2 sin
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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