1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Archived Phase accumulation of a wave

  1. Dec 8, 2013 #1
    1. The problem statement, all variables and given/known data

    (See picture)
    We have 3 areas in which a wave can move.

    The wave Y1 starts at area 1 and goes towards Border 1, some part of it is passed to Area 2.
    That part goes towards Border 2, and some part of it is reflected back into Area 2.
    That part moves towards Border 1, and some of it passes to Area 1.

    I'm interested in that last part that returned to Area 1, which is Y4.
    What is its Phase? It would seem that the wave accumulated phase when it was in Area 2, so should it be 2D * k2? (wave number times the distance in that area)?

    If the original wave was [itex]Y_1(x,t) = Ae^{i(wt-k_1x)}[/itex], would Y4 be [itex]Y_4(x,t) = Be^{i(wt+k_1x+\phi)}[/itex], where [itex]\phi = 2Dk_2[/itex]?
    Or should it be [itex]\phi = -2Dk_2[/itex]?

    (A and B are some amplitudes we can relate through reflectivity and transmittance coefficients)

    Attached Files:

  2. jcsd
  3. Jun 15, 2017 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted