L. Sirko et al., EXPERIMENTAL IDENTIFICATION OF NON-NEWTONIAN ORBITS PRODUCED BY RAY SPLITTING IN A DIELECTRIC-LOADED MICROWAVE CAVITY, Physical review letters, 78(15), 1997, pp. 2940-2943
We use a thin dielectric-loaded microwave cavity to identify experimen
tally the signature of non-Newtonian periodic orbits caused by ray spl
itting at sharp, dielectric interfaces. In our experiments non-Newtoni
an orbits manifest themselves as distinctive peaks in the Fourier tran
sform of the frequency spectrum, which cannot be assigned to any Newto
nian periodic orbits. Because the electromagnetic Helmholtz and quanta
l Schrodinger equations are equivalent in two dimensions, our results
are directly relevant to quantum chaos studies.