C. Oosawa et al., REFRACTION, REFLECTION, AND FREQUENCY CHANGE OF CHEMICAL WAVES PROPAGATING IN A NONUNIFORM BELOUSOV-ZHABOTINSKY REACTION MEDIUM, Journal of physical chemistry, 100(3), 1996, pp. 1043-1047
Propagation of chemical waves in the Belousov-Zhabotinsky reaction in
a thin layer of ferroin-loaded cation-exchange resin beads is investig
ated. Dispersion relations are obtained for waves propagating in layer
s of resin beads. The relations in layers of resin beads are different
both in the trigger wave velocity and the refractory period, when mes
h size and/or percentages of cross-linkage of resin beads are differen
t. A system with a sharp boundary between two layers with different wa
ve velocities is made using two different resin beads exhibiting diffe
rent dispersion relations. Incident waves at any angle from the high-v
elocity layer are refracted at the boundary. Waves from the low-veloci
ty layer also exhibit refraction when the angle of incidence is smalle
r than a critical value. Refraction obeys Snell's law. Incident waves
from the low-velocity layer at angles larger than the critical value a
re reflected. The angle of reflection is equal to the critical angle a
nd does not depend on the incident angle. When the period of incident
waves from the high-velocity layer is shorter than the refractory peri
od in the low-velocity layer, wave propagation across the boundary cau
ses the change of frequency.