2007/10/08 by Andrea Aiello, Aiello, Andrea, Han Woerdman +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Optics (physics.optics) #Orbital Angular Momentum in Optics #Quantum optics and atomic interactions #physics.optics
paper · pdf · doi:10.48550/arxiv.0710.1643
49 pages, 7 figures. V2: A few typos corrected, some new material added
openalex publication_date 2007/10/08 · arxiv created 2007/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The reflection of a three-dimensional vectorial Maxwell-Gaussian beam by a planar surface is studied. The surface is characterized by its complex reflection coefficients rs(\bk) and rp(\bk) for TE and TM electromagnetic plane waves of wavevector \bk, respectively. The field impinging upon the reflecting surface is modeled as a quasi-monochromatic fundamental Gaussian beam suitably modified in order to satisfy Maxwell equations (Maxwell-Gaussian beam). Analytical expressions, correct up to the second order in a perturbation expansion, are given for the reflected electric and magnetic field, respectively. We found that first order terms in the perturbation expansion account for a longitudinal shift (Goos-Hänchen effect) of the whole reflected beam, while second order terms modifies the transverse shape of the beam which is, at this order, no longer cylindrically symmetric.