Scattering of an electromagnetic plane wave by a sphere embedded in a cylinder

Mangini, Fabio; Tedeschi, Nicola

doi:10.1364/josaa.34.000760

Cited by 14 publications

(5 citation statements)

References 19 publications

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“…Recently, Ref. [25] presented an analytical solution for the scattered intensities of a sphere on the axis of an infinite metallic cylinder with a plane wave incident on one end of the cylinder. While the combination of the spherical and cylindrical symmetries is interesting, they did not calculate the BSCs for offaxis positions, nor the optical forces on the sphere.…”

Section: Introductionmentioning

confidence: 99%

Toward Waveguide-Based Optical Chromatography

Neves¹,

Moreira²,

Fontes³

et al. 2021

Front. Phys.

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We report analytical expressions for optical forces acting on particles inside waveguides. The analysis builds on our previously reported Fourier Transform method to obtain Beam Shape Coefficients for any beam. Here we develop analytical expressions for the Beam Shape Coefficients in cylindrical and rectangular metallic waveguides. The theory is valid for particle radius a ranging from the Rayleigh regime to large microparticles, such as aerosols like virus loaded droplets. The theory is used to investigate how optical forces within hollow waveguides can be used to sort particles in “optical chromatography” experiments in which particles are optically propelled along a hollow-core waveguide. For Rayleigh particles, the axial force is found to scale with a6, while the radial force, which prevents particles from crashing into the waveguide walls, scales with a3. For microparticles, narrow Mie resonances create a strong wavelength dependence of the optical force, enabling more selective sorting. Several beam parameters, such as power, wavelength, polarization state and waveguide modes can be tuned to optimize the sorting performance. The analysis focuses on cylindrical waveguides, where meter-long liquid waveguides in the form of hollow-core photonic crystal fibers are readily available. The modes of such fibers are well-approximated by the cylindrical waveguide modes considered in the theory.

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Section: Introductionmentioning

confidence: 99%

Toward Waveguide-Based Optical Chromatography

Neves¹,

Moreira²,

Fontes³

et al. 2021

Front. Phys.

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“…The problem of multiple scattering by closely spaced objects has a wide range of engineering applications, including electromagnetic (EM) wave transmission by rain [1], scattering by complex bodies [2][3][4][5], scanning of buried objects [6,7], biological cell detection [8,9], radar and remote sensing applications in biomedical diagnostics, etc. [10,11].…”

Section: Introductionmentioning

confidence: 99%

Multiple Scattering by Two PEC Spheres Using Translation Addition Theorem

et al. 2021

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An analysis of multiple scattering by two Perfect Electric Conducting (PEC) spheres using translation Addition Theorem (AT) for spherical vector wave functions is presented. Specifically, the Cruzan formalism is used to represent the AT for spherical harmonics, which introduces the translation coefficients for transformation of spherical harmonics from one coordinate to another. The adoption of these coefficients with the use of two PEC spheres in a near zone region makes the calculation of multiple scattering electric fields very efficient. As an illustration, the mathematical formation using advanced computational approaches was inspected. Then, the generic truncation criteria in the scattered electric field by two PEC spheres was deeply investigated using translation AT. However, the numerical validation was obtained using Comsol simulation software. This approach will allow to evaluate the scattering from macro-structures composed of spherical particles, i.e., biological molecules, clouds of airborne particles, etc. An original and fully general solution to the problem using vector quantities is introduced, and the convergence of the solution in several numerical examples is also demonstrated. This approach takes into account the effect of multiple scattering by two PEC spheres for spherical vector function.

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“…Unfortunately, to our best knowledge, the vector wave functions are only analytically available for the Cartesian coordinate system, the cylindrical coordinate system and the spherical coordinate system. This unavoidably limits the application of the vector wave functions to certain geometries, for example, planes, cylinders, and spheres, and their combinations (which are enabled by knowing the conversion of one type of vector wave functions into another) . Despite this limitation, analytical solutions are still valuable, because 1) they serve as references to verify the IE‐based and DE‐based methods; and 2) they cost almost no numerical efforts and provide a very efficient computational scheme for prototype structures, for example, spheres, spherical shells, etc …”

Section: Introductionmentioning

confidence: 99%

A Review on the Application of Integral Equation‐Based Computational Methods to Scattering Problems in Plasmonics

Zheng

Kupresak

Verellen

et al. 2019

Advcd Theory and Sims

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Many computational methods have been developed and used for modeling, understanding, and tailoring extreme optical effects at the nanoscale. Among them, this review focuses on the integral equation-based methods: within the local response limit, a potential-based boundary integral equation (BIE) formalism and a field-based volume integral equation (VIE) formalism; within the nonlocal hydrodynamic model, a potential-based BIE formalism. These formalisms are derived from macroscopic electrodynamics (together with appropriate constitutive relations). The derivations are based on three pillars: the Green function, the field relation(s) (for the VIE formalism, the incident-scattered-total field relation; for the BIE formalism, the interface conditions connecting the fields at two sides of the interface), and the field equivalence principle (for the VIE formalism, the volume equivalence principle; for the BIE formalism, the Huygens principle). By applying the method of moments (MoM) algorithm, the derived integral equations are converted into matrix equations, with possible problems in the implementation being discussed. Levels of solutions, including the eigenmode and natural mode solutions, and group representation theory are introduced as powerful post-processing steps. Many examples are shown to demonstrate the effectiveness of the reviewed algorithms.developed for microwave frequency applications, for example, antennas, radars, etc., and is crucial for the design of modern telecommunication systems, for example, smartphones, WIFI networks, etc. Hence, it is undoubtedly playing an essential role in forging modern society.Prompted by the grand leap in nanotechnology over the last decades, the classical techniques in CEM have been applied to smaller and smaller scales and have significantly assisted in the understanding of the EM wave-matter interaction in the micrometric and nanometric worlds. One of the main applications is the research domain of plasmonics where the interaction of light with collective oscillations of free electrons in subwavelength nanostructured metallic objects is studied. [1] The research on plasmonics has discovered many extreme optical effects at the nanoscale. [2][3][4] These effects are of fundamental importance for future technologies, for example, cancer therapy, single molecule sensing, assisting chemical reactions, efficient light sources, etc., which span all the domains in physical sciences, from biology over chemistry to physics. Theoretically, the interaction of light with metal-based nanostructures can be abstracted as a scattering problem (see Figure 1). In the problem, there is an external source, for example, externally imposed current and charge sources ρ(r) and j(r), occupying a volume in the space. This source radiates and generates an incident field propagating freely in the space until it meets an inhomogeneity, that is, the scatterer. The scatterer reflects and deflects the incident field and induces the scattered field which together with the incident field forms the tot...

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Scattering of an electromagnetic plane wave by a sphere embedded in a cylinder

Cited by 14 publications

References 19 publications

Toward Waveguide-Based Optical Chromatography

Toward Waveguide-Based Optical Chromatography

Multiple Scattering by Two PEC Spheres Using Translation Addition Theorem

A Review on the Application of Integral Equation‐Based Computational Methods to Scattering Problems in Plasmonics

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