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Natural Science Forum / Physics / Acoustics / November 2005



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180 degree phase shift on air/water interface

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david - 26 Nov 2005 21:24 GMT
Can anybody help me with a problem.  Supposedly, there is a 180 degree
phase shift when a hydroacoustic waves encounters the air interface at
the underside of the sea surface.

First, is this indeed the case?

If so, then suppose an earthquake generates a series of LF pressure
pulses (hydroacoustic) that strikes the undersurface at a 90 degree
angle.  What happens to the energy?  Suppose the angle is 45 degrees?

I have a russian research paper that talks about such a phase shift.
In this paper, a positive pressure pulse strikes the undersea air/water
interface and experiences a 180 degree phase and becomes a negative
pressure pulse generating acoustic cavitation that can be detected and
used as a tsunami warning signal.

Any truth to this?
Don Pearce - 26 Nov 2005 21:31 GMT
>Can anybody help me with a problem.  Supposedly, there is a 180 degree
>phase shift when a hydroacoustic waves encounters the air interface at
>the underside of the sea surface.
>
>First, is this indeed the case?

Yes, the 180 degree phase shift - or more properly the inversion - is
quite right.

>If so, then suppose an earthquake generates a series of LF pressure
>pulses (hydroacoustic) that strikes the undersurface at a 90 degree
>angle.  What happens to the energy?  Suppose the angle is 45 degrees?

Much of the energy will reflect, much as it would off a mirror. The
rest will be translated into surface waves - lateral rather than
longitudinal - that will radiate away from the centre of the pressure
pulse. A small amount will dissipate into the air.

>I have a russian research paper that talks about such a phase shift.
>In this paper, a positive pressure pulse strikes the undersea air/water
[quoted text clipped - 3 lines]
>
>Any truth to this?

I would imagine that the degree of cavitation would depend largely on
the amplitude of the pulse. A small one would not generate any
cavitation.

d

Pearce Consulting
http://www.pearce.uk.com
salmonegg@sbcglobal.net - 27 Nov 2005 05:55 GMT
On 11/26/05 1:24 PM, in article
1133040247.325337.139440@o13g2000cwo.googlegroups.com, "david"

> Can anybody help me with a problem.  Supposedly, there is a 180 degree
> phase shift when a hydroacoustic waves encounters the air interface at
[quoted text clipped - 13 lines]
>
> Any truth to this?

My approach to this kind of problem is usually the same for ANY wave problem
in a homogeneous medium. Because my experience is mostly with
electromagnetism, I use that to guide me.

The key is the mismatch of impedance as a wave travels from one medium into
another. For an electrical transmission line, the characteristic impedance
is sqrt(L/C) where L and C correspond to the distributed inductance and
capacitance (per unit length that is) of the line respectively. The
corresponding quantities for an acoustic medium would be density and elastic
modulus respectively. That acoustic impedance is sqrt(rho/E). It is also
equal to rho*c where c is the speed of propagation.

Because I never can remember the condition for which there is a 180° phase
shift, I remember that a short circuit corresponds to a extremely low
impedance. A voltage wave, corresponding to a pressure wave in acoustics,
must reflect with a 180° phase shift so that the sum of incident and
reflected waves add up to zero voltage at the short.

Thus, if a wave in a medium with impedance rho0*c0 strikes a boundary with
an impedance rho*c lower than rho0*c0, the reflected wave will have the 180°
shift. Otherwise, there will be no shift.

Bill

-- Ferme le Bush
Angelo Campanella - 28 Nov 2005 05:18 GMT
> Can anybody help me with a problem.  Supposedly, there is a 180 degree
> phase shift when a hydroacoustic waves encounters the air interface at
> the underside of the sea surface.
> First, is this indeed the case?

sure!

> If so, then suppose an earthquake generates a series of LF pressure
> pulses (hydroacoustic) that strikes the undersurface at a 90 degree
> angle.  What happens to the energy?  Suppose the angle is 45 degrees?

    90 degrees incidence is a negative pressure for sure.

    45 degrees wolud probaly amout to square root of two less in amplitude
(o.707).

> I have a russian research paper that talks about such a phase shift.
> In this paper, a positive pressure pulse strikes the undersea air/water
> interface and experiences a 180 degree phase and becomes a negative
> pressure pulse generating acoustic cavitation that can be detected and
> used as a tsunami warning signal.

    Why not! The pheomenon is vaguely related to the water hammer oft heard
in seam pipes.

> Any truth to this?

    That hypothetically the cavitation pelse (water hammer) could occur
under certain circumstance, there is no doubt. wheter it can be triggerd
by practical (typical) tsunami phenomena is another story. We need some
hard data. sounds like a good research proposal when Congress is in a
spending mood (not now).

Angelo Campanella
 
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