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The drop in the pot: Waves from a point source in a circular enclosure
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| American Journal of Physics |
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We present the results of a computational study of the waves that leave a point source in a circular enclosure. We work in the geometric optics approximation. A video results from the instantaneous source, and a single picture from the effectively steady source. We thus find Green's function for the scalar wave equation and for steady waves, respectively. We illustrate and explain some unexpected qualitative features of the waves, including the dependence of the focusing properties of the enclosure on the position of the point source. We compare our work with previous work on the natural focusing of light. The MATHEMATICA code that produces the video discussed in the paper is available on EPAPS.© 2005 American Association of Physics Teachers.
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Wave motion, circular pool
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ftp://ftp.aip.org/epaps/am_j_phys/E-AJPIAS-73-010501/
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