1. Not finding help here? Sign up for a free 30min 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!

Virtual boxes mirror reflection

  1. Nov 14, 2013 #1
    1. The problem statement, all variables and given/known data

    Finding lightpaths with given starting and ending points via one or more mirrors.

    In those kind of problems you try image someone pointing a laser with a very narrow beam at a certain direction to the mirror, so it will reach point B.

    For example:

    You are seeing a square mirror room (with mirrorwalls a, b​​, c, d) where you point from point A via the mirrors c, b, d and a to point B. A sketch can be made easily made.

    QkWF4e6.png


    In order to find a more accurate solution, we flip the base cell with the points A and B
    a few times as shown in the image.
    After the mirroring is done, the line connecting A is drawn towards the mirror image B '.
    Question: Construct the path in the original square.
    Complete the drawing.

    LkjW29I.png



    2. Relevant equations

    mirror images

    3. The attempt at a solution

    What do I need to do with those virtual squares? And why is the line drawn from A to B' through those other rooms?
    LkjW29I.png
     
    Last edited: Nov 14, 2013
  2. jcsd
  3. Nov 14, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    The drawing looks quite complete to me...

    Mirrors do exactly what those virtual boxes represent: They show a "mirror world", like the box above your real box. That is not limited to a single mirror, you can fill the whole grid with those mirror images.
    There are mirror arrangements where this is not helpful, but with a quadratic box it is nice.
     
  4. Nov 14, 2013 #3
    I guess there suppose to be lines in other virtual boxes.
     
  5. Nov 15, 2013 #4

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Then you can draw those lines. There is an infinite number of them, so I guess you have to restrict yourself to a few of them.
     
  6. Nov 15, 2013 #5

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    This is a way of working out where the image appears to be to an observer..

    If you stood at point A in the original cell and looked in the direction of the laser beam you would see point B but it would appear to you as if it was at point B'.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Virtual boxes mirror reflection
  1. Mirror reflection? (Replies: 1)

  2. Reflecting in mirror (Replies: 5)

Loading...