Compact and power efficient acoustically actuated magnetoelectric antennas for transmitting and receiving very low frequency (VLF) electromagnetic waves utilize magnetoelectric coupling in a magnetic/piezoelectric heterostructure to provide voltage control of magnetization in transmission mode and magnetic control of electric polarization in receiving mode. The magnetoelectric antennas provide a power efficiency enhanced by orders of magnitude compared to magnetically or mechanically switching the magnetization. The antennas can be used in groups or arrays and can be combined to form VLF communication systems.