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Sound waves in even dimensions

  1. Dec 24, 2012 #1
    I read on the 'Ask A Mathematician/Ask A Physicist' blog that sound waves behave differently in an even-number of dimensions than they do in odd-number dimensions - that they 'double-back'. Why is this - and what does 'double-back' mean?

    http://www.askamathematician.com/2012/05/q-what-would-life-be-like-in-higher-dimensions/

    "Sound waves too. In odd dimensions other than 1 (3, 5, 7, …) waves behave the way we normally see and hear things: a wave is formed, it moves out, and it keeps going. However, in even dimensions, and 1 as well, (1, 2, 4, 6, …) waves “double back” on themselves. You can see this in ripples on the surface of water (2-D waves)."
     
  2. jcsd
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