10 citations · 28 across the 17 of their papers we have counts for
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"Analytical Continuation'' of Flattened Gaussian Beams
Riccardo Borghi
A purely analytical extension of the flattened Gaussian beams [Opt. Commun. \textbf{107,} 335 (1994)] to any values of the beam order, is here proposed. Due to it, the paraxial pro…
Paraxial Sharp-Edge Diffraction: A General Computational Approach
Riccardo Borghi
A general reformulation of classical sharp-edge diffraction theory is proposed within paraxial approximation. The, not so much known, Poincaré vector potential construction is empl…
Exact paraxial diffraction theory for polygonal apertures under Gaussian illumination
Riccardo Borghi
Paraxial diffraction of monochromatic Gaussian beams by arbitrarily shaped polygonal apertures is analytically explored within the boundary diffraction wave theory framework. Exact…
Gaussian sharp-edge diffraction: a paraxial revisitation of Miyamoto-Wolf's theory
Riccardo Borghi
A "genuinely" paraxial version of Miyamoto-Wolf's theory aimed at dealing with sharp-edge diffraction under Gaussian beam illumination is presented. The theoretical analysis is car…
Uniform approximation of paraxial flat-topped beams
Riccardo Borghi
A uniform asymptotic theory of the free-space paraxial propagation of coherent flattened Gaussian beams is proposed in the limit of nonsmall Fresnel numbers. The pivotal role playe…
Optical asymptotics via Weniger transformation
Riccardo Borghi
Starting from the resurgence equation discovered by Berry and Howls [M. V. Berry and C. Howls "Hyperasymptotics for integrals with saddles," Proc. R. Soc. Lond. A 434, 657-675 (199…