The reflection of a MaxwellGaussian beam by a planar surface
Abstract
The reflection of a threedimensional vectorial MaxwellGaussian 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 quasimonochromatic fundamental Gaussian beam suitably modified in order to satisfy Maxwell equations (MaxwellGaussian 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 (GoosHänchen 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.1643
 Bibcode:
 2007arXiv0710.1643A
 Keywords:

 Physics  Optics
 EPrint:
 49 pages, 7 figures. V2: A few typos corrected, some new material added