Three-dimensional nonparaxial accelerating beams from the transverse Whittaker integral

摘要: We investigate three-dimensional nonparaxial linear accelerating beams arising from the transverse Whittaker integral. They include different Mathieu, Weber, and Fresnel beams, among other. These accelerate along a semicircular trajectory, with almost invariant nondiffracting shapes. The patterns of are determined by their angular spectra, which constructed Mathieu functions, Weber integrals. Our results not only enrich understanding multidimensional but also display real applicative potential -- owing to usefulness integrals in describing wealth wave phenomena nature.