If the Ehrenfest time τE of a ballistic cavity is not negligible in comparison to its dwell time τD, the weak localization correction to the cavity's transmission is suppressed proportional to exp(-τE/τD). At the same time, quantum interference enhances the probability of reflection into the mode of incidence by a factor two. This ``enhanced backscattering'' does not depend on the Ehrenfest time. We show that, in addition to the diagonal enhanced backscattering, there are off-diagonal contributions to coherent backscattering that become relevant if τEτD.
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Rahav et al. (2006) studied this question.