10 citations · 28 across the 17 of their papers we have counts for
17 papers
"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…
Solving Kepler's equation via nonlinear sequence transformations
Riccardo Borghi
Since more than three centuries Kepler's equation continues to represents an important benchmark for testing new computational techniques. In the present paper, the classical Kapte…
Huygens' cycloidal pendulum: an elementary derivation
Riccardo Borghi
A pedagogical derivation of the Huygens cycloidal pendulum, suitable for high-school students, is here presented. Our derivation rests only on simple algebraic and geometrical tric…
From Kepler's laws to Newton's law: a didactical proof
Riccardo Borghi
An elementary derivation of the Newton "inverse square law" from the three Kepler laws is proposed. Our proof, thought essentially for first-year undergraduates, basically rests on…
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…