Open AccessCharacterization of tightly focused vector fields formed by off-axis parabolic mirror
Author(s) -
Xiahui Zeng,
Xiyao Chen
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.001179
Subject(s) - optics , physics , diffraction , collimated light , parabolic reflector , optical axis , focus (optics) , beam (structure) , field (mathematics) , cardinal point , electric field , mathematics , laser , quantum mechanics , pure mathematics , lens (geology)
In this paper, we present a systematic investigation of the characterization of tightly focused vector fields formed by an off-axis parabolic mirror. Based on the Stratton-Chu integral of Green's theorem, the rigorous diffraction integrals that generate vector fields within and outside the focus arising from a collimated beam incident on an idealized parabolic mirror were derived in detail. In addition, explicit analytical expressions for the far-field vector diffraction electric and magnetic fields suitable for an off-axis parabolic mirror were also obtained. It is shown that there are significant differences in the vector diffraction characterizations between on- and off-axis parabolic mirrors. When the off-axis rate is greater than 4, the longitudinal field is predominant, and the maximum peak intensity ratio between the longitudinal field and the transverse field at the focus is approximately 10 3 . This property is valuable for all applications in which a strong longitudinal field component is desirable. The effective focal length increases with increasing off-axis rate, and the depth of focus and the convergence angle of the focused beam are strongly dependent onf ' /2ω: smaller values of f ' /2ω lead to shorter focal depths and larger beam convergence (or tighter focusing).