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We calculate the time taken by a wave packet to tunnel through a series ofcomplex barrier potentials using stationary phase method to show its saturation(Hartman-Fletcher effect) with number of barriers in various situations. Wenumerically study the effect of the coupling between the elastic and inelasticchannels, width of the individual barrier, separation between the consecutivebarriers on the saturation of tunneling time. Nature of HF effect has furtherbeen investigated for more realistic barriers with random inelasticity and alsofor emissive inelastic channels.

Hartman-Fletcher effect for array of complex barriers