Airy-like field under high numerical aperture optical system

doi:10.1007/s12200-019-0866-9

Front. Optoelectron.

2019, Vol. 12

Issue (4) : 397-404 https://doi.org/10.1007/s12200-019-0866-9

RESEARCH ARTICLE

Airy-like field under high numerical aperture optical system

Yong LIU^1,², Zhifeng ZHANG^2,³, Cuifang KUANG^2,⁴(

)

¹. College of Electronics and Information Engineering, Shanghai University of Electrical Power, Shanghai 200090, China
². State Key Laboratory of Modern Optical Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, China
³. School of Physics and Electronic Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China
⁴. Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

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Abstract

The tightly focused field of an incident light beam through cubic phase modulation has been investigated by vectorial diffraction theory. For different modulation index of cubic phase and polarization states of the incident light, the focused fields have been presented. The results show that the Airy-like field can be produced by cubic phase modulation under high numerical aperture (NA) optical system. Intensity pattern and length of the main lobe are depended on modulation index for the spatial uniform polarization, and the Airy-like field is affected by polarization state for the spatial nonuniform polarization. It is helpful to structure new optical fields in optical manipulation, optical imaging, and surface plasma controlling.

Keywords diffraction cubic phase optical field Airy beam

Corresponding Author(s): Cuifang KUANG

Online First Date: 08 May 2019 Issue Date: 30 December 2019

Cite this article:

Yong LIU,Zhifeng ZHANG,Cuifang KUANG. Airy-like field under high numerical aperture optical system[J]. Front. Optoelectron., 2019, 12(4): 397-404.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-019-0866-9
https://academic.hep.com.cn/foe/EN/Y2019/V12/I4/397

Fig.1 Cubic phase masks with different modulation indexes. (a) a = 0.002; (b) a = 0.01; (c) a = 0.08

Fig.2 Normalized optical fields modulated without and with cubic phase. When a = 0, the longitudinal optical field through the focus is (a), the transverse optical fields are at (b) z = 0 and (c) z = 0.5l. When a = 0.01, the longitudinal optical field through the focus is (d), the transverse optical fields are at (e) z = 0, (f) z = l, (g) z = 4.7l, and (h) z = 6.8l. Here, (i) is corresponding to the area shown by the dashed box in (d)

Fig.3 Normalized optical fields modulated by different cubic phase. The longitudinal optical fields through the focus are (a)−(d) and the transverse optical fields in the focal plane are (e)−(h), for the case of a = 0.002, 0.008, 0.02, and 0.06, respectively

Fig.4 Normalized optical fields obtained by different polarized lights. The three-dimensional optical fields are (a)−(d) for x-axis linear polarization, circular polarization, azimuthal polarization and radial polarization, respectively. Here, the longitudinal optical fields through the focus are (a)-l–(d)-l, and the transverse optical fields at z = 0, l and 2l are (a)-t1–(d)-t3

Fig.5 Electric field parts in the transverse plane at z = 1.5l for (a) and (b) azimuthally and (c)−(e) radially polarized light

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