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Inverse Fourier Tranform of Transmission Lines Wave Equation

  1. Feb 26, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-2-26_22-6-10.png
    upload_2016-2-26_21-59-26.png
    From the derivation of v(x,t) and i(x,t) I am stuck on how the inverse Fourier transform of e^(-jwx/u) was calculated. I am trying to understand how the PDE was fully solved here: http://fourier.eng.hmc.edu/e84/lectures/transmission_line/node1.html


    2. Relevant equations
    Not sure what rule to implement here, working using laplace transforms (s = jw) to perform Fourier transformations to avoid integration.
    upload_2016-2-26_21-54-16.png

    3. The attempt at a solution
    upload_2016-2-26_22-6-10.png
     

    Attached Files:

  2. jcsd
  3. Feb 26, 2016 #2

    vela

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    Your notation and writing are a mess. You have f as a function of x in some places, of t in other places, and x and t in yet other places. Why don't you start by clearly defining what the problem is and writing it out carefully.
     
  4. Feb 26, 2016 #3

    LCKurtz

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    And type it instead of posting an image.
     
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