Supplementary Remarks On Reflection And Deflection of Sound in Water

Cover 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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