Cauchy–Riemann beams in GRIN media

• Published in: Optik (Stuttgart) Vol. 309; p. 171864
• Main Authors: Ramos-Prieto, I., Sánchez-de-la-Llave, D., Ruíz, U., Arrizón, V., Soto-Eguibar, F., Moya-Cessa, H.M.
• Format: Journal Article
• Language: English
• Published: Elsevier GmbH 01.08.2024
• Subjects: Beam propagation; Cauchy–Riemann beams; Fractional Fourier transform; GRIN media; Paraxial equation; Quadratic GRIN media; Beam propagation; Cauchy–Riemann beams; GRIN media; Paraxial equation; Fractional Fourier transform; Quadratic GRIN media

We investigate the propagation characteristics of Cauchy–Riemann beams in gradient-index media. Our study reveals two key findings: first, the preservation of their form during propagation; and second, the surprising feasibility of obtaining the two-dimensional fractional Fourier transform for any a...