Scattering characteristics of chiral particles by dual Hermite–Gaussian beams

This study investigates the scattering properties of chiral dielectric spheres illuminated by dual Hermite--Gaussian beams (HGBs) at arbitrary incident angles. Utilizing generalized Lorenz-Mie theory (GLMT), we derive the beam shape factor for dual HGBs through the coordinate addition theorem. By applying relevant boundary conditions, we obtain an analytical solution for the scattering of dual HGBs by chiral particles. To validate the proposed method's accuracy, we establish two simplified models: a single HGB and dual Gaussian beams. The scattering results from these models are compared with reference data, confirming the algorithm's reliability. Building on these validated results, we conduct a comprehensive analysis of the far-field radar cross-section (RCS) and the internal electric field distribution within chiral particles affected by dual HGBs. We thoroughly examine the impact of various parameters on the numerical outcomes, including beam order, incident angle, polarization angle, waist radius, particle sizes, and chirality parameters. The findings of this research offer valuable insights into the scattering behavior of chiral particles under dual-beam illumination and have significant implications for the development of multi-beam manipulation technologies and bio-particle identification methods.