Evanescent field of vectorial highly non-paraxial beams

Departamento de Optica, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, 28040-Madrid, Spain.
Optics Express (Impact Factor: 3.49). 04/2008; 16(5):2845-58. DOI: 10.1364/OE.16.002845
Source: PubMed


In terms of the Fourier spectrum, a simple but general analytical expression is given for the evanescent field associated to a certain kind of non-paraxial exact solutions of the Maxwell equations. This expression enables one to compare the relative weight of the evanescent wave with regard to the propagating field. In addition, in those cases in which the evanescent term is significant, the magnitude of the field components across the transverse profile (including the evanescent features) can be determined. These results are applied to some illustrative examples.

12 Reads
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The contribution of the propagating and the evanescent waves associated with freely propagating non-paraxial light fields whose transverse component is azimuthally polarized at some plane is investigated. Analytic expressions are derived for describing both the spatial shape and the relative weight of the propagating and the evanescent components integrated over the transverse plane. The analysis is carried out within the framework of the plane-wave angular spectrum approach. These results are used to illustrate the behavior of a kind of donut-like beams with transverse azimuthal polarization at some plane.
    Applied Physics B 08/2013; 112(1). DOI:10.1007/s00340-013-5408-3 · 1.86 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: In the previous chapters, we have considered electromagnetic beams whose longitudinal field component (along the propagation direction) is negligible. In other words, the electric field vector was assumed to be transverse to the z-axis and, consequently, it was represented by means of two components. This paraxial approach and the subsequent quasi-transversality assumption have provided in the above chapters a considerable simplification in both, the calculations and the characterization of this kind of beams.
    01/1970: pages 127-179;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In terms of the angular spectrum representation, general expressions are given to describe the free-space propagation of electromagnetic fields with radial or azimuthal polarization structure at a transverse plane. The transverse distributions of the radial, azimuthal and longitudinal components of these fields are also analysed. In particular, the on-axis behavior upon free propagation is studied. Furthermore, the special but important case of those fields that retain their polarization character (radial or azimuthal) under propagation is also considered. The analytical results are illustrated by application to some examples.
    Optics Express 07/2008; 16(12):9021-33. DOI:10.1364/OE.16.009021 · 3.49 Impact Factor
Show more