Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
Journal Home About Issues in Progress Current Issue All Issues Feature Issues

Focus shaping using cylindrical vector beams

Qiwen Zhan and James R. Leger

Open Access Open Access

Abstract

We report a focus shaping technique using generalized cylindrical vector beams. A generalized cylindrical vector beam can be decomposed into radially polarized and azimuthally polarized components. Such a generalized cylindrical beam can be generated from a radially polarized or an azimuthally polarized light using a two-half-wave-plate polarization rotator. The intensity pattern at the focus can be tailored by appropriately adjusting the rotation angle. Peak-centered, donut and flattop focal shapes can be obtained using this technique.

©2002 Optical Society of America

Full Article  |  PDF Article
More Like This
Focus modulation of cylindrical vector beams by using 1D photonic crystal lens with negative refraction effect

Ji Xu, Yi Zhong, Shengming Wang, Yunqing Lu, Hongdan Wan, Jian Jiang, and Jin Wang
Opt. Express 23(21) 26978-26985 (2015)

Focusing of high numerical aperture cylindrical-vector beams

K. S. Youngworth and T. G Brown
Opt. Express 7(2) 77-87 (2000)

Tight focusing properties and focal field tailoring of cylindrical vector beams generated from a linearly polarized coherent beam array

Yuqiu Zhang, Tianyue Hou, Hongxiang Chang, Tao Yu, Qi Chang, Man Jiang, Pengfei Ma, Rongtao Su, and Pu Zhou
Opt. Express 29(4) 5259-5269 (2021)

View More...

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (9)
Fig. 1
Fig. 1 Generalized cylindrical vector beam with ϕ0 rotation from the purely radially polarization.

Download Full Size | PDF

Fig. 2.
Fig. 2. A polarization rotator consisting of two half-wave plates. ∆ϕ is the angle between the fast axes of the two half-wave plates.

Download Full Size | PDF

Fig. 3
Fig. 3 Focusing of a cylindrical vector beam. In the diagram, f is the focal length of the objective lens. Q(r, φ) is an observation point in the focal plane.

Download Full Size | PDF

Fig.4
Fig.4 Intensity distribution at focal plane for radially polarized beam.

Download Full Size | PDF

Fig.5
Fig.5 Intensity distribution in the vicinity of focus for radially polarized beam.

Download Full Size | PDF

Fig.6
Fig.6 Intensity distribution at the focal plane for an azimuthally polarized beam. The focal field only has an azimuthal component. The radial and longitudinal components are zero.

Download Full Size | PDF

Fig. 7
Fig. 7 Total intensity distributions in the vicinity of focus for azimuthally polarized beam.

Download Full Size | PDF

Fig.8
Fig.8 Intensity distribution at focal plane for ϕ0=24°. Flattop focus is obtained.

Download Full Size | PDF

Fig. 9
Fig. 9 Total intensity distribution in the vicinity of focus for ϕ0=24°.

Download Full Size | PDF

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

E → ( r , φ ) = P [ cos ⁡ ϕ 0 e → r + sin ϕ 0 e → φ ]
T = ( cos ( 2 Δ ϕ ) − sin ( 2 Δ ϕ ) sin ( 2 Δ ϕ ) cos ( 2 Δ ϕ ) ) = R ( − 2 Δ ϕ )
E → ( r , φ , z ) = E r e → r + E z e → z + E φ e → φ
E r ( r , φ , z ) = A cos ϕ 0 ∫ 0 θ max cos 1 / 2 ( θ ) P ( θ ) sin θ cos θ J 1 ( k r sin θ ) e i k z cos θ d θ
E z ( r , φ , z ) = i A cos ϕ 0 ∫ 0 θ max cos 1 / 2 ( θ ) P ( θ ) sin 2 θ J 0 ( k r sin θ ) e i k z cos θ d θ
E φ ( r , φ , z ) = A sin ϕ 0 ∫ 0 θ max cos 1 / 2 ( θ ) P ( θ ) J 1 ( k r sin θ ) e i k z cos θ d θ
P ( θ ) = { 1 if sin − 1 ( 0.1 ) ≤ θ ≤ sin − 1 ( NA ) 0 otherwise
F → ∇ = 2 π R 3 ε 1 c ( ε 2 − ε 1 ε 2 + 2 ε 1 ) ∇ I
Select as filters
Select Topics Cancel
Top
       
© Copyright 2024 | Optica Publishing Group. All rights reserved, including rights for text and data mining and training of artificial technologies or similar technologies.
Privacy | Terms of Use