, Volume 90, Issue 1, pp 93-96
Date: 24 Nov 2007

Analytical expression for the diffraction field of an axicon using the ray-tracing and interference method

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Abstract

We present a simple analytical expression for calculating the vector field distribution behind an axicon using the ray tracing and interference method. This expression can be used for analyzing vector beam propagation throughout the whole space behind the axicon, with any base angle. Using the present analytical expression, we have studied the propagation characteristics of the four kinds of polarizations, linear polarization, left-handed circular polarization (i.e., the radial polarization), right-handed circular polarization, and azimuthal polarization, incident on the axicon. We found that the longitudinally-polarized component has to be considered for a large base angle and high refractive index of axicons, apart from the azimuthally-polarized beam of incidence.

PACS

42.15.Dp; 42.60.Jf; 42.25.Hz