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Antiresonances in the transmission of a simple two-state model.

We analyze the transmission through a resonant cavity using a simple, yet quite general, scattering model with two pairs of propagating states in each region. We find that when the cavity weakly confines one pair of states and strongly confines the other, the transmission coefficient for the weakly confined state displays sharp antiresonances (without resonances) when the single-pass phase for the strongly confined state is approximately n π with n an integer. This behavior is similar to that observed in multiple-state heterostructure tunneling models