In order to investigate the focusing characteristics of Airy beams, the theoretical formulas for the electromagnetic intensity vector and energy flux near the focusing region in cylindrical coordinate system are derived based on geometric phase, and their feasibilities are verified by vector diffraction theory. The results show that the geometric phase modulation parameter can significantly change the main lobe size, lobe spacing and energy distribution of the Airy beam. The energy and phase of the main lobe of the beam are effectively converted by introducing the vortex phase to the original cubic phase of Airy beams, and the main lobe of the beam no longer maintains its original shape. This research provides a basis for the application of Airy beams in optical sampling and manipulation, optical communication, data storage and imaging.