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On-chip generation of Bessel–Gaussian beam via concentrically distributed grating arrays for long-range sensing

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Light(Science & Applications) 2023年第5期12卷 817-825页

作者： Zihao Zhi Quanxin Na Qijie Xie Baisong Chen Yingzhi Li Xiaobin Liu Xuetong Li Lijun Wang Guoqiang Lo Junfeng Song State Key Laboratory on Integrated Optoelectronics College of Electronic Science and EngineeringJilin UniversityChangchun 130012China Peng Cheng Laboratory Shenzhen 518000China State Key Laboratory of Luminescence and Application Changchun Institute of OpticsFine Mechanics and PhysicsChinese Academy of SciencesChangchun 130033China Advance Micro Foundry Pte.Ltd. 11 Science Park RoadScience Park II 117685Singapore

Bessel beam featured with self-healing is essential to the optical sensing applications in the obstacle scattering environment.Integrated on-chip generation of the Bessel beam outperforms the conventional structure by small size,robustness,and alignment-free scheme.However,the maximum propagation distance(Z_(max))provided by the existing approaches cannot support long-range sensing,and thus,it restricts its potential applications.In this work,we propose an integrated silicon photonic chip with unique structures featured with concentrically distributed grating arrays to generate the Bessel-Gaussian beam with a long propagation distance.The spot with the Bessel function profile is measured at 10.24m without optical lenses,and the photonic chip’s operation wavelength can be continuously performed from 1500 to 1630 nm.To demonstrate the functionality of the generated Bessel-Gaussian beam,we also experimentally measure the rotation speeds of a spinning object via the rotational Doppler Effect and the distance through the phase laser ranging principle.The maximum error of the rotation speed in this experiment is measured to be 0.05%,indicating the minimum error in the current reports.By the compact size,low cost,and mass production potential of the integrated process,our approach is promising to readily enable the Bessel-Gaussian beam in widespread optical communication and micro-manipulation applications.

关键词： scattering Bessel beam

Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams

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Photonics Research 2023年第9期11卷 1553-1561页

作者： YANKE LI YU ZOU SHENG LIU PENG LI BINGYAN WEI JIANLIN ZHAO Key Laboratory of Light Field Manipulation and Information Acquisition Ministry of Industry and Information Technologyand Shaanxi Key Laboratory of Optical Information TechnologySchool of Physical Science and TechnologyNorthwestern Polytechnical UniversityXi’an 710129China Collaborative Innovation Center of Light Manipulation and Applications Shandong Normal UniversityJinan 250358China

The spin Hall effect of a light beam is essentially a product of circular birefringence but is rarely demonstrated.Here,we provide a scheme for initiating off-axis circular birefringence based on the spin-dependent wave vector bifurcation of Bessel beams via a single liquid crystal Pancharatnam–Berry phase element.The tilted Bessel beam shows a detectable photonic spin Hall effect.By introducing the nonlinear propagation trajectories,the spin Hall effect is greatly enhanced.More surprisingly,the two spin states exactly propagate along the scaled trajectories,enabling flexible control of the spin separation.This phenomenon is also applicable to other Bessel-like beams with nonlinear trajectories,which have been already reported.

关键词： Bessel circular nonlinear

Silicon photonic Bessel-Gaussian beam generation unlocks new possibilities for long-range sensing

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Light(Science & Applications) 2023年第7期12卷 1178-1179页

作者： Sangsik Kim School of Electrical Engineering Korea Advanced Institute of Science and TechnologyDaejeon 34141Republic of Korea

Concentrically distributed silicon photonic grating arrays generate long-range Besse-Gaussian beams,enabling rotational and range measurements over obstacles.This compact and mass-producible chip unlocks new potential... 详细信息

关键词： Gaussian Bessel beam

Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting

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Frontiers of Mathematics in China 2019年第3期14卷 535-550页

作者： Xianming HOU Huoxiong WU School of Mathematics and Statistics Linyi University Linyi 276005 China School of Mathematical Sciences Xiamen University Xiamen 361005 China

We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhile, the corresponding results for Hardy-Littlewood maximal operator and fractional maximal operator in Bessel setting are also obtained.

关键词： Limiting weak-type behaviors Bessel operators Riesz transforms maximal operators

Controllable oscillated spin Hall effect of Bessel beam realized by liquid crystal Pancharatnam-Berry phase elements

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Light(Science & Applications) 2022年第8期11卷 1925-1932页

作者： Sheng Liu Shuxia Qi Yanke Li Bingyan Wei Peng Li Jianlin Zhao Key Laboratory of Light Field Manipulation and Information Acquisition Ministry of Industry and Information Technologyand Shaanxi Key Laboratory of Optical Information TechnologySchool of Physical Science and TechnologyNorthwestern Polytechnical UniversityXi’an710129China

Pancharatnam–Berry (PB) phase has become an effective tool to realize the photonic spin Hall effect (PSHE) in recent years, due to its capacity of enhancing the spin-orbit interaction. Various forms of PSHEs have been proposed by tailoring the PB phase of light, however, the propagation trajectory control of the separated spin states has not been reported. In this paper, we realize the oscillated spin-dependent separation by using the well-designed PB phase optical elements based on the transverse-to-longitudinal mapping of Bessel beams. Two typical oscillated PSHEs, i.e., the spin states are circulated and reversed periodically, are experimentally demonstrated with two PB phase elements fabricated with liquid crystal. The displacements and periods of these oscillations can be controlled by changing the transverse vector of the input Bessel beam. The proposed method offers a new degree of freedom to manipulate the spin-dependent separation, and provides technical supports for the application in spin photonics.

关键词： interaction. Bessel Berry

Underwater ghost imaging with pseudo-Bessel-ring modulation pattern

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Chinese Optics Letters 2023年第8期21卷 38-43页

作者：孙哲田通 Sukyoon Oh 王江程光华李学龙 Northwestern Polytechnical UniversityXi'an 710072China Institute of Optics and Quantum Electronics Abbe Center of PhotonicsFriedrich Schiller University07743 JenaGermany Helmholtz Institute Jena 07743 JenaGermany

In this study,we propose an underwater ghost-imaging scheme using a modulation pattern combining offset-position pseudo-Bessel-ring(OPBR)and random binary(RB)speckle pattern illumination.We design the experiments based on modulation rules to order the OPBR speckle patterns.We retrieve ghost images by OPBR beam with different modulation speckle sizes.The obtained ghost images have a better contrast-to-noise rate compared to RB beam ghost imaging under the same conditions.We verify the results both in the experiment and simulation.In addition,we also check the image quality at different turbidities.Furthermore,we demonstrate that the OPBR speckle pattern also provides better image quality in other objects.The proposed method promises wide applications in highly scattering media,atmosphere,turbid water,etc.

关键词： ghost imaging underwater Bessel speckle

Manipulating propagation and evolution of polarization singularities in composite Bessel-like fields

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Photonics Research 2023年第1期11卷 121-128页

作者： XINGLIN WANG WENXIANG YAN YUAN GAO ZHENG YUAN ZHI-CHENG REN XI-LIN WANG JIANPING DING HUI-TIAN WANG National Laboratory of Solid Microstructures and School of Physics Nanjing UniversityNanjing 210093China Department of Applied Mathematics and Physics Anhui Polytechnic UniversityWuhu 241000China Collaborative Innovation Center of Advanced Microstructures Nanjing UniversityNanjing 210093China Collaborative Innovation Center of Solid-State Lighting and Energy-Saving Electronics Nanjing UniversityNanjing 210093China

Structured optical fields embedded with polarization singularities(PSs)have attracted extensive attention due to their capability to retain topological invariance during propagation.Many advances in PS research have been made over the past 20 years in the areas of mathematical description,generation and detection technologies,propagation dynamics,and applications.However,one of the most crucial and difficult tasks continues to be manipulating PSs with multiple degrees of freedom,especially in three-dimensional(3D)tailored optical fields.We propose and demonstrate the longitudinal PS lines obtained by superimposing Bessel-like modes with orthogonal polarization states on composite vector optical fields(VOFs).The embedded PSs in the fields can be manipulated to propagate robustly along arbitrary trajectories,or to annihilate,revive,and transform each other at on-demand positions in 3D space,allowing complex PS’topological morphology and intensity patterns to be flexibly customized.Our findings could spur further research into singular optics and help with applications such as micromanipulation,microstructure fabrication,and optical encryption.

关键词： Bessel topological propagation

Moire meta-device for flexibly controlled Bessel beam generation

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Photonics Research 2023年第1期11卷 100-108页

作者： GUOCUI WANG TIAN ZHOU JIANZHOU HUANG XINKE WANG BIN HU YAN ZHANG Beijing Engineering Research Center for Mixed Reality and Advanced Display School of Optics and PhotonicsBeijing Institute of TechnologyBeijing 100081China Beijing Key Laboratory of Metamaterials and Devices Key Laboratory of Terahertz OptoelectronicsMinistry of EducationBeijing Advanced Innovation Center for Imaging Theory and TechnologyDepartment of PhysicsCapital Normal UniversityBeijing 100048China

High-order Bessel beams are of great interest for most stable long-range optical quantum communications due to their unique nondiffraction,self-healing,and orbital angular-momentum-carrying capabilities.Until now,metasurfaces based on Bessel beam generators are mostly static and focused on generating zero-order Bessel beams.A moirémeta-device made of two cascaded metasurfaces is a simple,effective strategy to dynamically manipulate the wavefront of electromagnetic(EM)waves by mutual rotation between the two metasurfaces.Here,an all-dielectric moirémeta-device integrated with the functions of an axicon and a spiral phase plate to generate terahertz Bessel beams is designed.Not only the order,but also the nondiffraction length of the generated Bessel beam can be continuously tuned.As a proof of concept of the feasibility of the platform,the case of tuning order is experimentally demonstrated.The experimental results are in good agreement with the theoretical expectations.In addition,we also numerically proved that the nondiffraction length of the Bessel beam can be adjusted with the same approach.The moirémeta-device platform is powerful in dynamically manipulating the wavefront of EM waves and provides an effective strategy for continuously controlling the properties of the Bessel beam,which may find applications in optical communications,particle manipulation,and super-resolution imaging.

关键词： Bessel beam continuously

Birkhoffian Formulations of Bessel Equation

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Journal of Beijing Institute of Technology 2019年第2期28卷 234-237页

作者： Wen'an Jiang Lili Xia Yanli Xu Department of Engineering Mechanics Jiangsu University of Science and TechnologyZhenjiang 212003China School of Applied Science Beijing Information Science and Technology UniversityBeijing 100192China School of Aerospace Engineering Beijing Institute of TechnologyBeijing 100081China

The Birkhoffian mechanics is more general than the Hamilton mechanics,but only some dynamical systems can be realized as a Birkhoffian formulation.This paper proposes a novel Birkhoffian formulation for the classical Bessel equation.Based on the first method of Santilli,the Birkhoffian formulation of Bessel equation is established under the assumption that the Birkhoffian describes the total physical energy of the corresponding conservative systems.Zero and n-th order classical Bessel equations are studied to verify the effectiveness of the proposed formulation.

关键词： Birkhoffian formulations Bessel equation first method of Santilli