Rigorous diffraction theory applied to the analysis of the optical force on elliptical nano- and micro-cylinders

Rockstuhl, Carsten; Herzig, Hans Peter

doi:10.1088/1464-4258/6/10/001

Cited by 31 publications

(12 citation statements)

References 34 publications

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“…The above method, although involving no approximations, differs from the so-called "rigorous" methods commonly used in computing the force of radiation [2][3][4]. The primary difference is that we sidestep the use of Maxwell's stress tensor by reaching directly to bound electrons and their associated currents, treating them as the localized sources of electromagnetic force under the influence of the light's E-and B-fields.…”

Section: Introductionmentioning

confidence: 99%

Radiation pressure and the distribution of electromagnetic force in dielectric media

Zakharian¹,

Mansuripur²,

Moloney³

2005

Opt. Express

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Using the Finite-Difference-Time-Domain (FDTD) method, we compute the electromagnetic field distribution in and around dielectric media of various shapes and optical properties. With the aid of the constitutive relations, we proceed to compute the bound charge and bound current densities, then employ the Lorentz law of force to determine the distribution of force density within the regions of interest. For a few simple cases where analytical solutions exist, these solutions are found to be in complete agreement with our numerical results. We also analyze the distribution of fields and forces in more complex systems, and discuss the relevance of our findings to experimental observations. In particular, we demonstrate the single-beam trapping of a dielectric micro-sphere immersed in a liquid under conditions that are typical of optical tweezers.

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Section: Introductionmentioning

confidence: 99%

Radiation pressure and the distribution of electromagnetic force in dielectric media

Zakharian¹,

Mansuripur²,

Moloney³

2005

Opt. Express

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“…application of the boundary condition requires that the tangential component of the total (i.e., incident + scattered) electric field vector vanishes at r = A  , such that, (12) with z e denoting the outward unit vector along the axial direction. This leads to a new system of equations that must be solved, as is given as…”

Section: Electric and Magnetic Wave Incidence Cases (Known Also As Tmmentioning

confidence: 99%

“…They received significant interest from the standpoint of optical scattering theory in elliptical coordinates [8,9], cylindrical coordinates [10], and vector complex ray modeling [11]. Moreover, investigations on the optical radiation forces [12] and torques [13] have been performed, which were based solely on the brute force numerical integration of Maxwell's radiation stress over the surface of the cylinder.…”

Section: Introductionmentioning

confidence: 99%

“…The EM radiation force and torque are intrinsically connected with the scattering of the incident illuminating field by the cylinder due to the transfer of linear and angular momenta. Although the earlier works [12,13] considered some developments for the optical force and torque on an elliptic cylinder with a smooth surface using the brute force numerical integration method or the boundary element method [14], an improved formalism showing explicitly the dependence of the radiation force on the scattering coefficients of the corrugated non-circular cylinder is advantageous from a physical understanding standpoint.…”

Section: Introductionmentioning

confidence: 99%

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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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“…[13][14][15][16][17] Use of approximate methods 18 including the discrete-dipole approximation 19,20 the T-matrix, 21 or the finite-difference time-domain 22 to calculate the applied force is one common approach, but accurate calculation of the applied force (equivalently, the trap stiffness) requires detailed trapping beam specifications; knowledge of the refractive index of both the trapped object and the solvent; viscosity of solvent; and size, shape, and composition of the trapped particle, and typically assumes that the trapped object is homogeneous. For our experimental case of interest, none of this information is readily available and may require additional complex measurements to obtain.…”

Section: Introductionmentioning

confidence: 99%

Near real-time measurement of forces applied by an optical trap to a rigid cylindrical object

2014

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Abstract. An automated data acquisition and processing system is established to measure the force applied by an optical trap to an object of unknown composition in real time. Optical traps have been in use for the past 40 years to manipulate microscopic particles, but the magnitude of applied force is often unknown and requires extensive instrument characterization. Measuring or calculating the force applied by an optical trap to nonspherical particles presents additional difficulties which are also overcome with our system. Extensive experiments and measurements using well-characterized objects were performed to verify the system performance. © The Authors.Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Rigorous diffraction theory applied to the analysis of the optical force on elliptical nano- and micro-cylinders

Cited by 31 publications

References 34 publications

Radiation pressure and the distribution of electromagnetic force in dielectric media

Radiation pressure and the distribution of electromagnetic force in dielectric media

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

Near real-time measurement of forces applied by an optical trap to a rigid cylindrical object

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