The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 25 3 2025 12 22 Role of spatial modes in Hermite-sinh-Gaussian beams with radial polarization for electron acceleration in vacuum Role of spatial modes in Hermite-sinh-Gaussian beams with radial polarization for electron acceleration in vacuum 195 200 3739 10.47176/ijpr.25.3.72152 FA Vivek Sharma 1 Department of Physics, Lovely Professional University, G.T. Road, Phagwara, Punjab, India 2 Department of Physics, Ch. Balluram Godara Government Girls College, Sri Ganganagar, Rajasthan, India Vishal Thakur 1 Department of Physics, Lovely Professional University, G.T. Road, Phagwara, Punjab, India 2 Department of Physics, Ch. Balluram Godara Government Girls College, Sri Ganganagar, Rajasthan, India Journal Article 2025 07 31 This paper investigates the potential of Hermite-sinh-Gaussian (HSG) laser beams to improve the efficacy of electron acceleration in vacuum. HSG beams are distinguished by their hybrid structure, which encompasses Hermite-Gaussian orthogonality and non-Gaussian characteristics introduced by the hyperbolic sine (sinh) function. This structure provides distinctive capabilities for the manipulation of laser electric fields. The study examines the responsibilities of critical parameters, such as the Hermite mode index (s), the decentered parameter (b) of the sinh function, and the electric field amplitude and distribution, in the optimization of electron acceleration dynamics. The interplay between these parameters and their effect on energy gain and trajectory confinement is analyzed using theoretical modelling and numerical simulations. The results indicate that the maximum total energy can be enhanced to 3375.75 MeV by customized HSG beam configurations (s = 2, b = 3), which can provide valuable insights for the development of advanced laser-driven particle accelerators. These results facilitate the development of compact, high-efficiency electron acceleration technologies that have applications in radiation generation and particle physics. This paper investigates the potential of Hermite-sinh-Gaussian (HSG) laser beams to improve the efficacy of electron acceleration in vacuum. HSG beams are distinguished by their hybrid structure, which encompasses Hermite-Gaussian orthogonality and non-Gaussian characteristics introduced by the hyperbolic sine (sinh) function. This structure provides distinctive capabilities for the manipulation of laser electric fields. The study examines the responsibilities of critical parameters, such as the Hermite mode index (s), the decentered parameter (b) of the sinh function, and the electric field amplitude and distribution, in the optimization of electron acceleration dynamics. The interplay between these parameters and their effect on energy gain and trajectory confinement is analyzed using theoretical modelling and numerical simulations. The results indicate that the maximum total energy can be enhanced to 3375.75 MeV by customized HSG beam configurations (s = 2, b = 3), which can provide valuable insights for the development of advanced laser-driven particle accelerators. These results facilitate the development of compact, high-efficiency electron acceleration technologies that have applications in radiation generation and particle physics. https://ijpr.iut.ac.ir/article_3739_20885c72ca35d75619d6a378edea9f76.pdf