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The time reversal Aharonov-Casher (AC) interference effect in the mesoscopicring structures, based on the experiment in Phys. Rev. Lett. \textbf{97},196803 (2006), is studied theoretically. The transmission curves are calculatedfrom the scattering matrix formalism, and the time reversal AC interferencefrequency is singled out from the Fourier spectra in numerical simulations.This frequency is in good agreement with analytical result. It is also shownthat in the absent of magnetic field, the Altshuler-Aronov-Spivak type (timereversal) AC interference retains under the influence of strong disorder, whilethe Aharonov-Bohm type AC interference is suppressed.

Time reversal Aharonov-Casher effect in mesoscopic rings with Rashba spin-orbital interaction