The reflection of a Maxwell-Gaussian beam by a planar surface

dc.creatorAiello, Andrea
dc.creatorWoerdman, Han
dc.date2007-10-08
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:42:48Z
dc.date.available2026-07-07T08:42:48Z
dc.descriptionThe reflection of a three-dimensional vectorial Maxwell-Gaussian beam by a planar surface is studied. The surface is characterized by its complex reflection coefficients $r_s(\bk)$ and $r_p(\bk)$ 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.
dc.description49 pages, 7 figures. V2: A few typos corrected, some new material added
dc.identifierhttps://arxiv.org/abs/0710.1643
dc.identifierhttp://arxiv.org/abs/0710.1643
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142090
dc.subjectOptics
dc.titleThe reflection of a Maxwell-Gaussian beam by a planar surface
dc.typetext

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