Transmission of multiple heterostructures consisting of two kinds of single_negative materials are studied by transfer matrix method. The results show that the tunneling modes emerge on every interface of dual_periodical dielectric heterostructures when the heterostructure has zero effective refractive index, owing to the resonant coupling of the evanescent_wave_based interface modes. The zero effective refractive index tunneling mode is independent of the incident angle, polarization, period and scale length and have zero phase delay, which can be utilized to design zero_phase_shift omni_directional multiple_channeled filters. However, the tunneling modes situated on both sides of the center shift away from the center with decrease of incident angle, period and scale length.
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