Behavior of obliquely incident vector Bessel beams at planar interfaces

Salem, Mohamed; Bagci, Hakan

Behavior of obliquely incident vector Bessel beams at planar interfaces

Type

Article

Authors

Salem, Mohamed
Bagci, Hakan

KAUST Department

Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Electromagnetics Laboratory

Online Publication Date

2013-05-16

Print Publication Date

2013-06-01

Date

2013-05-16

Abstract

We investigate the behavior of full-vector electromagnetic Bessel beams obliquely incident at an interface between two electrically different media. We employ a Fourier transform domain representation of Bessel beams to determine their behavior upon reflection and transmission. This transform, which is geometric in nature, consists of elliptical support curves with complex weighting associated with them. The behavior of the scattered field at an interface is highly complex, owing to its full-vector nature; nevertheless, this behavior has a straightforward representation in the transform domain geometry. The analysis shows that the reflected field forms a different vector Bessel beam, but in general, the transmitted field cannot be represented as a Bessel beam. Nevertheless, using this approach, we demonstrate a method to propagate a Bessel beam in the refractive medium by launching a non- Bessel beam at the interface. Several interesting phenomena related to the behavior of Bessel beams are illustrated, such as polarized reflection at Brewster's angle incidence, and the Goos-Hänchen and Imbert-Federov shifts in the case of total reflection. © 2013 Optical Society of America.

Citation

Salem, M. A., & Bağcı, H. (2013). Behavior of obliquely incident vector Bessel beams at planar interfaces. Journal of the Optical Society of America A, 30(6), 1172. doi:10.1364/josaa.30.001172

Acknowledgements

This work was supported in part by the Center for Uncertainty Quantification in Computational Science and Engineering at King Abdullah University of Science and Engineering (KAUST).