Wave Optics331(a) If 12345 , 90 , and 0θ=°=°, then ()()222cos 45 cos9045cos0900fiII=° °−°°−°=(b) If 30 , 45 , and 90= °, then ( )2cos 0 cos450cos90450.25°−°°−°=24.63In the figure at the right, observe that the path difference between the direct and the indirect paths is 222xdhddδ=−=+−With a phase reversal (equivalent to a half-wavelength shift) occurring on the reflection at the ground, the condition for constructive interference is ( )mλ=+, and the condition for destructive interference is m=. In both cases, the possible values of the order number are m. 0, 1, 2,=…±²±²³´µ¶·¶µ¶¸¹¶´³±º³±º²(a) The wavelengths that will interfere constructively are m=+. The longest of these is for the case and has a value of 0m=2242 2450.0300 m2 600 m16.6 mdλδ==−−=2
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