This paper investigates the scattering properties of a uniaxial anisotropic coated (UAC) sphere that is irradiated by two focused Gaussian beams with arbitrary directions using the generalized Lorenz-Mie theory (GLMT). We derive the dual Gaussian beam expression by utilizing the orthogonality of spherical vector wave functions (SVWFs). The SVWFs are employed to expand the electromagnetic fields within each region of the coated sphere, combined with the boundary conditions, and the scattering coefficients and the radar cross-section (RCS) for the scattering of UAC sphere irradiated by two Gaussian beams are obtained. We present numerical simulations of the angular distribution of the RCS. The effects of the waist width, the incident angle and the particle inner diameter on scattering intensity are analyzed. The findings demonstrate that when the particles are illuminated by two beams of light at varying incident angles, the E-plane RCS will attain its maximum value in the corresponding incident direction. Remarkably, when the two beams of light propagate in opposite directions, the angular distribution of RCS exhibits symmetrical shapes, and the H-plane RCS attain minimal value at ±90°. As the waist width increases, the RCS also increases, albeit with different increments at different angles. As the particle's inner radius expands, the RCS around 0° and 180° gradually increases, while exhibiting oscillations around ±90°. The theory and numerical analysis provide beneficial help for laser detection, scattering and optical manipulate of coating particles.
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