Electromagnetic binding and radiation force reversal on a pair of electrically conducting cylinders of arbitrary geometrical cross-section with smooth and corrugated surfaces

Mitri, F.G.

doi:10.1364/osac.1.000521

Cited by 17 publications

(6 citation statements)

References 42 publications

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“…Potential applications of the present analysis are in fluid dynamics to study the deformation [50,51] and stability of a liquid bridge in electric fields [52,53], opto-fluidic devices, and particle manipulation to name a few examples. Moreover, the scope of the present analysis can be extended to evaluate the radiation force on multiple corrugated particles [54] based on the recently developed formalisms [55,56], and in the presence of a boundary [49,57,58] or a corner-space [59] located nearby the particle. The extension of the analysis to consider other wavefronts (differing from plane waves) such as non-paraxial Airy [60][61][62][63][64][65][66] and Gaussian [61,[67][68][69][70] light sheets is also possible.…”

Section: Discussionmentioning

confidence: 99%

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Mitri¹

2019

OSA Continuum

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The aim of this work is to develop a formal semi-analytical model using the modal expansion method in cylindrical coordinates to calculate the optical/electromagnetic (EM) radiation force-per-length experienced by an infinitely long electrically-conducting elliptical cylinder having a smooth or wavy/corrugated surface in EM plane progressive waves with different polarizations. In this analysis, one of the semi-axes of the elliptical cylinder coincides with the direction of the incident field. Initially, the modal matching method is used to determine the scattering coefficients by imposing appropriate boundary conditions and solving numerically a linear system of equations by matrix inversion. In this method, standard cylindrical (Bessel and Hankel) wave functions are used. Subsequently, simplified expressions leading to exact series expansions for the optical/EM radiation forces assuming either electric (TM) of magnetic (TE) plane wave incidences are provided without any approximations, in addition to integral equations demonstrating the direct relationship of the radiation force with the square of the scattered field magnitude. An important application of these integral equations concerns the accurate determination of the radiation force from the measurement of the scattered field by any 2D non-absorptive object of arbitrary shape in plane waves. Numerical computations for the non-dimensional radiation force function are performed for electrically conducting elliptic and circular cylinders having a smooth or ribbed/corrugated surface. Adequate convergence plots confirm the validity and correctness of the method to evaluate the radiation force with no limitation to a particular frequency range (i.e. Rayleigh, Mie or geometrical optics regimes). Particular emphases are given on the aspect ratio, the non-dimensional size of the cylinder, the corrugation characteristic of its surface, and the polarization of the incident field. The results are particularly relevant in optical tweezers and other related applications in fluid dynamics, where the shape and stability of a cylindrical drop stressed by a uniform external electric/magnetic field are altered. Furthermore, a direct analogy with the acoustical counterpart is noted and discussed.

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Section: Discussionmentioning

confidence: 99%

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Mitri¹

2019

OSA Continuum

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“…The study of RF has been studied by (Mitri, 2019a) on PEMC circular cylinder; He showed that the interaction of optical wave with a medium permitting rotary polarization i.e., circular cylinder produces coupled polarized internal as well as dispersed fields. The analytical and numerical study of RF involves the interaction of the plane EM wave with different material arrangement i.e., rigid bodies in a sound field (Olsen et al, 1958), electrically conducting cylindrical particles (Mitri, 2018), PEMC sphere (Mitri et al, 2020), cylinder exhibiting rotatory polarization (Mitri, 2019c), optical line source on a cylinder material (Mitri, 2019b), and elliptical-shaped cylinder (Mitri, 2016). The most common scenario is research papers on RF computation for Gaussian beams in the available literature.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Radiation Force of Vortex Electromagnetic wave exerted on a perfect electromagnetic conductor (PEMC) Sphere

Arfan¹,

Ghaffar

Alkanhal³

et al. 2022

KJS publishes peer-review articles in Mathematics, Computer Sci

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In this manuscript, the electromagnetic (EM) radiation force (RF) exerted on a perfect electromagnetic conductor (PEMC) sphere by a vortex electromagnetic (VEM) wave with spiral phase distribution had been investigated. The analytical formulation of EM fields is being done in the framework of Mie theory, while the field expressions are being modeled considering the features of VEM wave for PEMC sphere. Initially, the incident field coefficients are evaluated using definite integrals. The scattering coefficients are then determined by imposing boundary conditions at the surface of PEMC sphere i.e., at 𝑟=𝑎, leading to a linear system of equations computed via solving matrix. So, a lengthy calculation yields undetermined scattered field coefficients relative to incident field coefficients. The cross-section (𝑄) factors i.e., scattering (𝑄𝑠𝑐𝑎) and extinction (𝑄𝑒𝑥𝑡) have been computed. The influence of sphere size parameter (𝜌) and beam waist radius (𝑤0) versus scattering angle (𝛼°) for the RF along with 𝑄𝑠𝑐𝑎 has been numerically analyzed. As no loss of energy occurs inside PEMC sphere so absorption ((𝑄𝑎𝑏𝑠)=0), by virtue of the energy conservation principle then, 𝑄𝑒𝑥𝑡=𝑄𝑠𝑐𝑎. Under specific condition, we implemented present results on 𝑄𝑠𝑐𝑎 towards light without orbital angular momentum (OAM) i.e., (𝑙=0) and plane wave for the PEMC sphere. The research work has potential applications towards particle manipulation, optical technology, and optical tweezers.

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“…The analytical solution 14 and semianalytical solution 15 for the scattering on elliptical cylinders are derived, respectively. Particle pairs with corrugated surfaces are considered in electromagnetic problems 15 and a direct analogy with acoustic counterpart is discussed. 16 To simulate an unbounded domain with the finite element method, appropriate boundary conditions have to be imposed on the artificial boundary, which is considered as transparent boundaries.…”

Section: Introductionmentioning

confidence: 99%

“…Hybrid smoothed finite element method 13 is developed for acoustic scattering unbounded domains. The analytical solution 14 and semianalytical solution 15 for the scattering on elliptical cylinders are derived, respectively. Particle pairs with corrugated surfaces are considered in electromagnetic problems 15 and a direct analogy with acoustic counterpart is discussed.…”

Section: Introductionmentioning

confidence: 99%

Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method

Gao

Zheng

Qiu³

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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This paper presents a numerical approach for the determination of scattering frequencies of two-dimensional acoustic exterior resonance problems using boundary element method combined with a contour integral method. Since the solving range is surrounded by a Jordan curve in the complex plane, the complex eigenvalues can be acquired through evaluating the contour integral along the Jordan curve using the contour integral method. Complex scattering frequencies are directly extracted by the proposed approach, and their corresponding eigenmodes are also presented by evaluating the vibration amplitudes of internal points. The behaviors of the fictitious eigenfrequencies for unbounded domain are also studied. Numerical examples demonstrate the effectiveness of the approach for the resonance problems of unbounded domains.

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Electromagnetic binding and radiation force reversal on a pair of electrically conducting cylinders of arbitrary geometrical cross-section with smooth and corrugated surfaces

Cited by 17 publications

References 42 publications

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Electromagnetic Radiation Force of Vortex Electromagnetic wave exerted on a perfect electromagnetic conductor (PEMC) Sphere

Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method

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