Wave Optics331(a) If 12345 , 90, and 0θθθ=°=°=°, then ()()222cos 45 cos9045cos0900fiII=°° −°° −° =(b) If 1230 , 45, and 90θθθ=°=°=°, then ()()222cos 0 cos450cos90450.25fiII=°° −°° −° =24.63In the figure at the right, observe that the path difference between the direct and the indirect paths is ()22222xdhddδ=−=+−With a phase reversal (equivalent to a half-wavelength shift) occurring on the reflection at the ground, the condition for constructive interference is ()1 2mδλ=+, and the condition for destructive interference is mδλ=. In both cases, the possible values of the order number are m. 0, 1, 2,=…(a) The wavelengths that will interfere constructively are 1 2mδλ=+. The longest of these is for the case and has a value of
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