  In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures,
h/e AB oscillations that result from the interference among the complicated
trapped paths in the cavity can be described by the framework of the
semiclassical theory. We derive formulas of the correlation function C(\Delta
\phi) of the nonaveraged magnetoconductance for chaotic and regular AB
cavities. The different higher harmonics behaviors for C(\Delta \phi) are
related to the differing distribution of classical dwelling times. The AB
oscillation in ballistic regimes provides an experimental probe of quantum
signatures of classical chaotic and regular dynamics.
