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Published online by Cambridge University Press: 13 December 2013
Dispersion relations of dust-lattice waves in three-dimensional body-centered cubic (bcc) and face-centered cubic (fcc) dusty plasma crystals are derived taking into account particle–wake interactions. Results show that resonance coupling between the longitudinal and out-of-plane transverse wave modes set in if the vertical confinement is below a certain critical value. The imaginary part of the wave frequency shows that the hybrid mode cannot propagate in the crystal.