Propagation properties of a cylindrically polarized vector beam

doi:10.1007/s12200-009-0058-0

Front Optoelec Chin

2009, Vol. 2

Issue (4) : 414-418 https://doi.org/10.1007/s12200-009-0058-0

RESEARCH ARTICLE

Propagation properties of a cylindrically polarized vector beam

Xinting JIA, Bo LI, Youqing WANG(

), Qing LI, Hongyan HUANG

College of Optoelectronic Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

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Abstract

A general expression for the electric field of a cylindrically polarized vector beam propagating in free space is derived on the basis of the exact fully vectorial solution of Maxwell equations in transverse Fourier space, which indicates that a cylindrical polarization can be regarded as the combination of radial and azimuthal polarizations, and the electric field retains cylindrical symmetry under the propagation. The simulation results denote that the longitudinal electric field depends on the ratio of the waist width to wavelength and the angle between the electrical vector and the radial direction; in particular, when this angle is 24.5°, a flattop intensity distribution is obtained at the plane z=0.

Keywords cylindrically polarized vector beam free-space propagation propagation property flattop intensity distribution

Corresponding Author(s): WANG Youqing,Email:yqwang13@163.com

Issue Date: 05 December 2009

Cite this article:

Xinting JIA,Bo LI,Youqing WANG, et al. Propagation properties of a cylindrically polarized vector beam[J]. Front Optoelec Chin, 2009, 2(4): 414-418.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-009-0058-0
https://academic.hep.com.cn/foe/EN/Y2009/V2/I4/414

Fig.1 Geometry of cylindrically polarized beam. (a) Cylindrically polarized beam with angle between electrical vector and radial direction; (b) transverse electric field of cylindrically polarized beam

Fig.2 Total (solid curves), transverse (dotted curves), and longitudinal (dashed curves) intensity distributions of electric field versus at the plane =100 for = 0° in the cases of (a) /=1.5 and (b) /=0.8

Fig.3 Normalized maximum intensity of longitudinal electric field versus / at the plane =100 for = 0°

Fig.4 (a) On-axis longitudinal intensity versus at =0° and (b) it versus at the plane =5 for different values of /=1 (solid curves), 1.2 (dotted curves), and 1.5 (dashed curves)

Fig.5 Total (solid curve), transverse (dotted curve), and longitudinal (dashed curve) intensity distributions of the electric field versus for /=0.8 at the plane =0 in the case of =24.5° (flattop intensity distribution is obtained)

1	Gori F. Polarization basis for vortex beams. Journal of the Optical Society of America A , 2001, 18(7): 1612–1617 doi: 10.1364/JOSAA.18.001612
2	Salamin Y I, Keitel C H. Electron acceleration by a tightly focused laser beam. Physical Review Letters , 2002, 88(9): 095005 doi: 10.1103/PhysRevLett.88.095005
3	Zhan Q W. Trapping metallic Rayleigh particles with radial polarization. Optics Express , 2004, 12(15): 3377–3382 doi: 10.1364/OPEX.12.003377
4	Youngworth K S, Brown T G. Inhomogeneous polarization in scanning optical microscopy. Proceedings of SPIE , 2000, 3919: 75–85 doi: 10.1117/12.384181
5	Niziev V G, Nesterov A V. Influence of beam polarization on laser cutting efficiency. Journal of Physics D: Applied Physics , 1999, 32(13): 1455–1461 doi: 10.1088/0022-3727/32/13/304
6	Oron R, Blit S, Davidson N, Friesem A A, Bomzon Z, Hasman E. The formation of laser beams with pure azimuthal or radial polarization. Applied Physics Letters , 2000, 77(21): 3322–3324 doi: 10.1063/1.1327271
7	Niziev V G, Chang R S, Nesterov A V. Generation of inhomogeneously polarized laser beams by use of a Sagnac interferometer. Applied Optics , 2006, 45(33): 8393–8399 doi: 10.1364/AO.45.008393
8	Zhan Q W, Leger J R. Focus shaping using cylindrical vector beams. Optics Express , 2002, 10(7): 324–331
9	Borghi R, Scantarsiero M. Nonparaxial propagation of spirally polarized optical beams. Journal of the Optical Society of America A , 2004, 21(10): 2029–2037
10	Ciattoni A, Crosignani B, Di Porto P. Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections. Optics Communications , 2000, 177(1-6): 9–13

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