Re: Non-linear overlaying of waves in water

From: Franz Heymann (notfranz.heymann_at_btopenworld.com)
Date: 01/24/05 

Date: Mon, 24 Jan 2005 07:43:46 +0000 (UTC)

"heiko ackermann" <heiack@gmx.de> wrote in message
news:410fff40.0501230900.4ba5271@posting.google.com...
> Hey,
> If I overlay two acoustic waves with different frequencies in water,
> and my amplitudes are high enough for linear effects.
> There will be four waves, the two wave frequencies and the new two
> ones, f1-f2 and f1+f2

These sum and difference frequencies will not occur if you are
considering a linear system, as you said above here.
>
> Now I want to know if what's about the amplitude of the two new
ones.
> Will the amplitude change, or will it be the always the same.

Play around with an expression of the kind

y = y1*sin(w1*t) + y2*sin(w2*t) + alpha*sin(w1*t)*y2*sin(w2*t)
until you have only a sum of simple sinusiodal oscillations. Alpha
would be indicative of the relative strength of the non-linearity.

> In the linear case the beating ampltidue will change, but whats
about
> the non-linear chase.

Franz

Relevant Pages

  • Re: Non-linear overlaying of waves in water
    ... > If I overlay two acoustic waves with different frequencies in water, ... > and my amplitudes are high enough for linear effects. ... > Will the amplitude change, or will it be the always the same. ...
    (sci.physics)
  • Re: Non-linear overlaying of waves in water
    ... >> and my amplitudes are high enough for linear effects. ... >> There will be four waves, the two wave frequencies and the new two ... It might have been more obvious if I had extracted the two amplitudes ...
    (sci.physics)
  • Non-linear overlaying of waves in water
    ... If I overlay two acoustic waves with different frequencies in water, ... and my amplitudes are high enough for linear effects. ... Will the amplitude change, or will it be the always the same. ...
    (sci.physics)
  • Re: Non-linear overlaying of waves in water
    ... > If I overlay two acoustic waves with different frequencies in water, ... > and my amplitudes are high enough for linear effects. ... There are many possible types of non-linear cases, so many answers, ...
    (sci.physics)
  • Re: did man walk on the moon...and creationism.
    ... of photons that move at certain frequencies, ... Each thing in it (Xrays, gamma rays, etc.) travels ... microwaves, and even radio waves. ... You can't hear radio waves, ...
    (talk.origins)