Optical force exerted on a Rayleigh particle by a vector arbitrary-order Bessel beam

2016 ◽  
Vol 178 ◽  
pp. 230-243 ◽  
Author(s):  
Ruiping Yang ◽  
Renxian Li
Keyword(s):  
Arbitrary Order ◽  
Bessel Beam ◽  
Optical Force

Generation of an arbitrary order Bessel beam in FDTD for time domain calculation

2019 ◽  
Author(s):  
Zhefeng Wu ◽  
Jiajie Wang ◽  
Paul Briard ◽  
Yiping Han ◽  
Antao Chen ◽  
...  
Keyword(s):  
Time Domain ◽  
Arbitrary Order ◽  
Bessel Beam

Debye series analysis of optical force induced by an axicon-generated Bessel beam

2014 ◽  
Vol 62 (6) ◽  
pp. 493-502 ◽  
Author(s):  
Renxian Li ◽  
Lixin Guo ◽  
Chunying Ding
Keyword(s):  
Bessel Beam ◽  
Optical Force ◽  
Series Analysis ◽  
Debye Series

scholarly journals Photonic nanojet generated by a spheroidal particle illuminated by a vector Bessel beam

2021 ◽  
pp. 100106
Author(s):  
Yongjie Jia ◽  
Renxian Li ◽  
Wenze Zhuang ◽  
Jiarui Liang
Keyword(s):  
Bessel Beam ◽  
Spheroidal Particle ◽  
Photonic Nanojet

scholarly journals A Nanoscale Photonic Crystal Cavity Optomechanical System for Ultrasensitive Motion Sensing

Crystals ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 462
Author(s):  
Ji Xia ◽  
Fuyin Wang ◽  
Chunyan Cao ◽  
Zhengliang Hu ◽  
Heng Yang ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Optical Cavity ◽  
Optical Quality ◽  
Optical Force ◽  
Mechanical Oscillator ◽  
Maximum Displacement ◽  
Optomechanical System ◽  
High Optical Quality ◽  
Hybrid Platform ◽  
Optomechanical Coupling

Optomechanical nanocavities open a new hybrid platform such that the interaction between an optical cavity and mechanical oscillator can be achieved on a nanophotonic scale. Owing to attractive advantages such as ultrasmall mass, high optical quality, small mode volume and flexible mechanics, a pair of coupled photonic crystal nanobeam (PCN) cavities are utilized in this paper to establish an optomechanical nanosystem, thus enabling strong optomechanical coupling effects. In coupled PCN cavities, one nanobeam with a mass meff~3 pg works as an in-plane movable mechanical oscillator at a fundamental frequency of . The other nanobeam couples light to excite optical fundamental supermodes at and 1554.464 nm with a larger than 4 × 104. Because of the optomechanical backaction arising from an optical force, abundant optomechanical phenomena in the unresolved sideband are observed in the movable nanobeam. Moreover, benefiting from the in-plane movement of the flexible nanobeam, we achieved a maximum displacement of the movable nanobeam as 1468 . These characteristics indicate that this optomechanical nanocavity is capable of ultrasensitive motion measurements.

scholarly journals The determinant of one-dimensional polyharmonic operators of arbitrary order

2020 ◽  
Vol 279 (12) ◽  
pp. 108783
Author(s):  
Pedro Freitas ◽  
Jiří Lipovský
Keyword(s):  
Arbitrary Order ◽  
One Dimensional

scholarly journals Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces

CALCOLO ◽  
2021 ◽  
Vol 58 (3) ◽  
Author(s):  
Elena Bachini ◽  
Gianmarco Manzini ◽  
Mario Putti
Keyword(s):  
Arbitrary Order ◽  
Surface Geometry ◽  
Virtual Element Method ◽  
Anisotropic Character ◽  
Local Reference System ◽  
Local Reference ◽  
Local Parametrization ◽  
Manufactured Solution ◽  
Virtual Element ◽  
Element Method

AbstractWe develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial differential equations (PDEs). The PDE is first written in covariant form using an appropriate local reference system. The knowledge of the local parametrization allows us to consider the two-dimensional VEM scheme, without any explicit approximation of the surface geometry. The theoretical properties of the classical VEM are extended to our framework by taking into consideration the highly anisotropic character of the final discretization. These properties are extensively tested on triangular and polygonal meshes using a manufactured solution. The limitations of the scheme are verified as functions of the regularity of the surface and its approximation.

scholarly journals Polyanalytic boundary value problems for planar domains with harmonic Green function

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Heinrich Begehr ◽  
Bibinur Shupeyeva
Keyword(s):  
Green Function ◽  
Boundary Value Problems ◽  
Arbitrary Order ◽  
Boundary Value ◽  
Planar Domains ◽  
Schwarz Problem ◽  
Bianalytic Functions ◽  
Neumann Type ◽  
The Neumann Problem ◽  
Well Posed

AbstractThere are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann type. These problems are investigated in planar domains having a harmonic Green function. For the Schwarz problem, treated earlier [Ü. Aksoy, H. Begehr, A.O. Çelebi, AV Bitsadze’s observation on bianalytic functions and the Schwarz problem. Complex Var Elliptic Equ 64(8): 1257–1274 (2019)], just a modification is mentioned. While the Dirichlet problem is completely discussed for arbitrary order, the Neumann problem is just handled for order up to three. But a generalization to arbitrary order is likely.

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