Singularity in a circular wave pool!pic.twitter.com/wnDGnBnqqx
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that's a singularity alright! Solving the wave equation over a spherically symmetric region amounts to expanding in spherical Hankel functions [Jackson intensifies] Even for the zero mode the real part of h_n, for general expansion coefficients, contains a singularity as kr->0pic.twitter.com/yaoldlzJcK
in either case you'll at least have a resonance as kr->0 in all modes as kr-> 0
