Supplementary Remarks On Reflection And Deflection of Sound in Water
Supplementary Remarks On Reflection And Deflection of Sound in Water
Richard Courant
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H tc ■'Ota 6rf:t Of •*s'^ *l"^ II -8- log p ^ ' (^2pl "*" ^2% -^ ••• + ^nV » ot If all e. Are less than a snail number e, log P > - -^ • Thus approxliretely p > e-^V2 . Prc3tn this It follows that p will approach unity If the angles z)^ become very small, while H (for the given total an^e c of deflection) tends to Infinity. In other v/orcia, the neai'or the first angle of incidence cones to z°-ro and the more frequent the single reflections become, the more total the deflection of the sound bea...m by bending along the Interface will be. As an exarrnle, assTime S a half-circle. All an. C^les ^ will be equal and -^ - -^ • Y'e assume that in a strip of the width of 4 wave lengths around our half -circle the velocity is k(l + C) with (T = . 005, and 3= 3°, R = 30. Then fron our graphs we firwi z
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