In the process of high-harmonic generation with a Laguerre-Gaussian （LG） mode, it was well established that the topological charge could be of an N-fold increase due to angular momentum conservation. Here, by mimick...In the process of high-harmonic generation with a Laguerre-Gaussian （LG） mode, it was well established that the topological charge could be of an N-fold increase due to angular momentum conservation. Here, by mimicking the effect of high-harmonic generation, we devise a simple algorithm to generate optical vortex arrays carrying arbitrary topological charges with a single phase-only spatial light modulator. By initially preparing a coaxial superposition of suitable low-order LG modes, we demonstrate experimentally that the topological charges of the embedded vortices can be multiplied and transformed into arbitrarily high orders on demand, while the array structure remains unchanged. Our algorithm offers a concise way to efficiently manipulate the structured light beams and holds promise in optical micromanipulation and remote sensing.展开更多
In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous pol...In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous polynomial space for the pressure.The velocity-pressure pair contains“arbitrary-order”polynomials,and stability is guaranteed by the“absolutely stabilized finite element formulation”originally introduced in[21].We establish error estimates in the energy norm for both velocity and pressure,as well as an L^(2)-error estimate for the velocity.Several numerical experiments validate the theoretical analysis.展开更多
基金supported by the National Natural Science Foundation of China(NSFC)(Nos.11104233 and 11474238)the Fundamental Research Funds for the Central Universities(No.20720160040)+1 种基金the Natural Science Foundation of Fujian Province(No.2015J06002)the Program for New Century Excellent Talents in University(NCET)(NCET-13-0495)
文摘In the process of high-harmonic generation with a Laguerre-Gaussian （LG） mode, it was well established that the topological charge could be of an N-fold increase due to angular momentum conservation. Here, by mimicking the effect of high-harmonic generation, we devise a simple algorithm to generate optical vortex arrays carrying arbitrary topological charges with a single phase-only spatial light modulator. By initially preparing a coaxial superposition of suitable low-order LG modes, we demonstrate experimentally that the topological charges of the embedded vortices can be multiplied and transformed into arbitrarily high orders on demand, while the array structure remains unchanged. Our algorithm offers a concise way to efficiently manipulate the structured light beams and holds promise in optical micromanipulation and remote sensing.
基金supported by the National Natural Science Foundation of China(No.11971337).
文摘In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous polynomial space for the pressure.The velocity-pressure pair contains“arbitrary-order”polynomials,and stability is guaranteed by the“absolutely stabilized finite element formulation”originally introduced in[21].We establish error estimates in the energy norm for both velocity and pressure,as well as an L^(2)-error estimate for the velocity.Several numerical experiments validate the theoretical analysis.
