Focusing field transverse energy flow simulation of azimuthally polarized Lorentz–Gaussian beam modulated by power order space-variant phase

On the basis of the vector diffraction theory, this article investigates the transverse energy flow distributions of azimuthally polarized Lorentz–Gaussian beams modulated by power order space-variant phase modulation. The findings of the study show that the distribution of transverse energy flow is significantly affected by variations in the power order of the space-variant phase <i>n</i>. We obtained circular distribution, two zone distribution, bullet-shaped distribution, and reverse <i>Z</i>-distribution. Furthermore, it can be observed that the variation of phase change parameter <i>C</i> will affect the transverse energy flow distributions, while the variation of topological charge <i>m</i> will lead to the diffusion of energy. These phenomena may assist in capturing specific particles.