Using the quantum kinetic equation method for electrons in the semi-parabolic plus semi-inverse squared quantum well (SPPSISQW) structure in the presence of external electromagnetic waves, we derived novel analytical expressions for the acousto-magneto-electric (AME) field. In addition, numerical results were conducted to investigate the dependence of the AME field on various parameters, including the frequency of external electromagnetic waves, acoustic wave frequency \(\omega_{q}\) , temperature, magnetic field. Notably, the resonance peak position of the AME field remains unaffected by temperature but shifts significantly with electromagnetic wave frequency and magnetic field. The high-frequency electromagnetic wave significantly enhance the AME field, introducing new resonant peaks and modulating the field’s amplitude and position. As the frequency of EMW Ω increases, the resonance peaks shift to higher magnetic field values. The study identifies the cyclotron resonance phenomenon, where the AME field increases sharply at specific magnetic field strengths. This resonance shifts with changes in the electromagnetic wave frequency, indicating a complex interplay between electrons, phonons, and external fields. These findings contribute to perfecting quantum theory and enrich our understanding of the unique properties of SPPSISQW structure, especially highlighting significant differences from conventional bulk semiconductors and other low-dimensional semiconductor structures such as quantum wires and superlattices. Furthermore, the influence of external electromagnetic waves introduces nonlinear effects and distinctive results compared to scenarios without electromagnetic waves, as demonstrated by the results presented in this study.
