Propagation dynamics of ring Airy Gaussian beams with cosine modulated optical vortices

Feili Wang; Cibo Lou; Yi Liang

doi:10.3788/COL201816.110502

Journals >Chinese Optics Letters >Volume 16 >Issue 11 >Page 110502 > Article

Chinese Optics Letters
Vol. 16, Issue 11, 110502 (2018)

Propagation dynamics of ring Airy Gaussian beams with cosine modulated optical vortices

Feili Wang¹, Cibo Lou^1、*, and Yi Liang^2、**

Author Affiliations

¹Institute of Photonics, Faculty of Science, Ningbo University, Ningbo 315211, China

²Guangxi Key Laboratory for Relativistic Astrophysics, School of Physics Science and Technology, Guangxi University, Nanning 530004, China

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DOI: 10.3788/COL201816.110502 Cite this Article Set citation alerts

Feili Wang, Cibo Lou, Yi Liang. Propagation dynamics of ring Airy Gaussian beams with cosine modulated optical vortices[J]. Chinese Optics Letters, 2018, 16(11): 110502 Copy Citation Text

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Abstract

We numerically investigate the propagation properties of ring Airy Gaussian beams (RAGBs) with cosine modulated optical vortices (CMOV). In comparison to the common RAGBs without any modulation, the dynamic propagation of RAGBs with CMOV exhibits a unique feature: the rings of RAGBs with CMOV will gradually shrink into several main lobes with the increase of the propagation distance. The number of lobes and the peak intensity of each lobe are determined by the factors of cosine modulated function. By designing the initial phase, we can easily change the transversal location of the peak intensity. Our results may find potential applications in optical manipulations.

u (r, φ, z = 0) = A_{0} A i (\frac{r_{0 -} r}{b w}) \exp (a \frac{r_{0 -} r}{b w}) \exp [- \frac{{(r_{0} - r)}^{2}}{w^{2}}] [r^{l} e^{i l φ (θ)}],

(1)

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φ (θ) = C_{0} \cos (m θ) \cos (n θ + φ_{0}),

(2)

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\frac{1}{2 k} (\frac{\partial^{2}}{\partial x^{2}} + \frac{\partial^{2}}{\partial y^{2}}) u + i \frac{\partial u}{\partial z} = 0,

(3)

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Feili Wang, Cibo Lou, Yi Liang. Propagation dynamics of ring Airy Gaussian beams with cosine modulated optical vortices[J]. Chinese Optics Letters, 2018, 16(11): 110502

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