Vj. Daniels et al., CHAOTIC SCATTERING ON A BILLIARD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1519-1531
We investigate chaotic scattering on an attractive step potential with
a quadrupolar deformation. The phase space features of the bound bill
iard are studied by using the notion of symmetry lines to find periodi
c orbits. We show that the scattering dynamics is intimately linked to
structures in the bound billiard (infinite potential wall) phase spac
e. The existence of preferred scattering directions is shown to be a c
onsequence of large scale features of the phase space such as the peri
od-two orbits. Self-similarity in the scattering functions is directly
linked to unstable periodic orbits of the bound phase space. The main
observations and methodology are applicable to concave billiards in g
eneral. [S1063-651X(98)02002-9].