Abstract
A kinematic approach is used to construct steady-state traveling wave patterns in a two-dimensional excitable medium with a band of different excitability. New stationary autowave structures of bell-like shape are shown to exist when the excitability in a band is decreased compared to surrounding areas. The front profiles of the patterns and their propagation velocities are evaluated. Total internal reflection of waves from a band of higher excitability is predicted. The failure of steady-state propagation because of the critical curvature effect is discussed.
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