Abstract
Transmission of longitudinal optical (LO) phonons in double heterostructures with uniaxial anisotropy is investigated within a dielectric continuum model. When LO-like phonons are generated in the left semi-infinite layer, their transmission probability through a barrier to the right semi-infinite layer is calculated. ${\mathrm{In}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{N}/\mathrm{GaN}/{\mathrm{In}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{N}$ and $\mathrm{GaN}/{\mathrm{Al}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{N}/\mathrm{GaN}$ systems are considered for numerical calculations. In contrast to the isotropic case, where there is no transmission, it is shown that the propagation probability could be significant with only about 1% anisotropy. The propagation probability of phonons is found to increase with increasing wavelength of the LO-like phonon for a given barrier width.
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