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Question 3: answer

 

By regrouping the terms in , , , ... we have:

As , we finally obtain:

The pulsation and amplitude term is therefore the equivalent of the following set of harmonics:

  • one with a pulsation

  • two with the pulsations and , having both the same amplitude

  • two with the pulsations and , having both the same amplitude

  • ...

The amplitudes of the harmonics decrease rapidly as their pulsation pulls away from the pulsation wp.

· By a similar calculus, we can prove that the pulsation term of the pseudo development in Fourier series

gives:

  • two harmonics with the pulsations and having both the same amplitude

  • two harmonics with the pulsations and having both the same amplitude

  • ...

The harmonics group themselves in families situated around the pulsations , , ,...

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Last update: 2005, September, 30 | Translation: Sergiu Ivanov