Abstract: The influence of the phonon dispersion on the properties of the magnetopolaron in a polar crystal was studied by using the linear combination operator and unitary transformation method. Taking account of the longitudinal optical (LO) phonons dispersion in a parabolic approximation, the ground state energy, the self-trapping energy and the Landau energy of the magnetopolaron in a polar crystal as a function of the coefficient of the phonon dispersion, the cyclotron resonance frequency and the electron-LO-phonon coupling constant were obtained. Numerical calculation results show that the ground state energy decreases with increasing the coefficient of the phonon dispersion and the electron-LO-phonon coupling constant. The self-trapping energy increases with increasing the coefficient of phonon dispersion and the electron-LO-phonon coupling constant. The ground state Landau energy increases to a maximum and then fall with increasing the electron-LO-phonon coupling constant, and increases with increasing the coefficient of phonon dispersion.

Key words: optoelectronics, magnetopolaron, linear combination operator, phonon dispersion