quiz - to the y-axis, generating two plane waves...

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13.811 Advanced Structural Dynamics and Acoustics Quiz - Acoustics April 21, 2004 Question 1. 1 ik z h p ( x, y ; 0) = e p ( k x , k y , h ) e ik x x e ik y y dk x dk y (4) 4 2 Question 2. ik x 0 x θx e ik x 0 x e (5) p ( x, y, h ) = sin( ) = 2 c 2 i where k x 0 = k/ 2 = θ/ 2 c . Insert into eq. 1 and use EGW eqn. 1.5 4 2 p ( k x , k y ; h ) = [ ± ( k x k x 0 ) ± ( k x + k x 0 )] ± ( k y ) (6) 2 i Insert into Eq. (4) 1 [ e ik z 0 h e ik x 0 x e ik z 0 h e ik x 0 x ] p ( x, y ; 0) = 2 i θx = e ik z 0 h sin( ) (7) 2 c with k z 0 = k 2 k 2 = k 1 0 . 25 = k 3 / 2 x 0 Question 3. Surface of radiater has a standing wavefield with crests parallel
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Unformatted text preview: to the y-axis, generating two plane waves propagating at grazing angle cos 1 (1 / 2) = 60 , interfering at all distances h to produce a standing waveeld in the horizontal plane, but propagating vertically 1...
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