412 Diffraction Patterns and Polarization*P38.7The rectangular patch on the wall is wider than it is tall. The aperture will be taller than it is wide.For horizontal spreading we havetan...sin..θθλwidthwidthwidthwidthwidthm2mm0.012 2m=====×=×−−yLaa011045001221632 8 10518 1095For vertical spreading, similarlytan...sin..λheightheightmm0.000 667m×−−000600006671632810949 1094ahP38.8Equation 38.1 states thatsin=ma, where m=±±±123,,,…. Therequirement for m=1 is from an analysis of the extra path distancetraveled by ray 1 compared to ray 3 in Figure 38.5. This extradistance must be equal to 2for destructive interference. When thesource rays approach the slit at an angle β, there is a distance addedto the path difference (of ray 1 compared to ray 3) of a2sin
This is the end of the preview. Sign up
access the rest of the document.
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 .