Abstract
Diffraction of spherical waves by a toroidal obstacle is analysed using the eikonal approximation to the reaction-diffusion equations with excitable kinetics. We demonstrate the existence of two stationary spherical wave segments, one larger and the other smaller than a hemisphere, blocking the hole of the torus. A detailed stability analysis indicates that the former is unstable and the latter is stable. This analysis suggests that the trapping of a spherical wave front by a toroidal obstacle may be verified experimentally using a chemical medium like the Belouzov-Zhabotinsky reagent in the excitable regime.
Original language | English |
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Pages (from-to) | 2785-2799 |
Number of pages | 14 |
Journal | Proceedings A: Mathematical, Physical and Engineering Sciences |
Volume | 452 |
Issue number | 1955 |
Publication status | Published - 1996 |