Abstract :
Within the framework of the dielectric-continuum model and Loudonʹs uniaxial crystal model, the equation of motion for the p-polarization field in a wurtzite quasi-two-dimensional multilayer heterostructure is solved exactly for the interface optical-phonon modes. The eigenvector, the dispersion relation and the electron-interface-phonon interaction Frِhlich-like Hamiltonian are derived using the transfer-matrix method. The analytical formulas are universal and can be applied to single heterojunctions, single/multiple quantum wells and superlattices.