Split Wave: Practical Approach to Separate Components

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    Splitting Wave
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To split a resultant wave into its constituent components practically, especially in sound waves, one can utilize Fourier analysis to decompose the wave mathematically into sine and cosine components. The discussion highlights the challenge of applying this theoretical approach experimentally, particularly for complex waveforms like beats. While optical methods like prisms and diffraction gratings are effective for light, the participants seek practical sound wave separation techniques. Suggestions include using experimental setups that can isolate frequencies, though specifics are not provided. Overall, the conversation emphasizes the need for practical methods to achieve wave separation in sound, beyond theoretical calculations.
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Homework Statement


how do u split a resultant wave(formed by interference of many)into its constiuent waves?(practically){not light,i'm actually thinking of sound,beats}

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The Attempt at a Solution


i tried to use the Fourier series,and split it into sine and cosine waves.how do u do it practically?
 
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if its a light wave with different frequency components, a prism or diffraction grating would do the trick... or 2 mirrors a tunable distance apart to pick out frequencies
 
no sir,i'm actually thinking of sound and beats formed
 
ok - so do you mean mathematically? or experimentally...

maybe if you show what you tried, it will help me understand :)
 
like the one inthe fig attached.how do u split these waves experimentally?what about the ones that have no order,say like the group wave associated with an electron.i tried to use Fourier series to get periodical sine and cosine waves.but i don't know how to do it experimentally.
 

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