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29_Chapter 24 HomeworkCH24 Wave Optics

29_Chapter 24 HomeworkCH24 Wave Optics - Wave Optics 331(a...

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Wave Optics 331 (a) If 1 2 3 45 , 90 , and 0 θ θ θ = ° = ° = ° , then ( ) ( ) 2 2 2 cos 45 cos 90 45 cos 0 90 0 f i I I = ° ° − ° ° − ° = (b) If 1 2 3 0 , 45 , and 90 θ θ θ = ° = ° = ° , then ( ) ( ) 2 2 2 cos 0 cos 45 0 cos 90 45 0.25 f i I I = ° ° − ° ° − ° = 24.63 In the figure at the right, observe that the path difference between the direct and the indirect paths is ( ) 2 2 2 2 2 x d h d d δ = = + With a phase reversal (equivalent to a half-wavelength shift) occurring on the reflection at the ground, the condition for constructive interference is ( ) 1 2 m δ λ = + , and the condition for destructive interference is m δ λ = . In both cases, the possible values of the order number are m . 0, 1, 2, = (a) The wavelengths that will interfere constructively are 1 2 m δ λ = + . The longest of these is for the case and has a value of
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