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Journal ArticleDOI

Scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles

Zhiwei Cui, +2 more
- 01 Oct 2013 - 
- Vol. 30, Iss: 10, pp 1913-1920
TLDR
An efficient numerical method based on surface integral equations to characterize the scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles is introduced.
Abstract
In this paper, we introduce an efficient numerical method based on surface integral equations to characterize the scattering of a zero-order Bessel beam by arbitrarily shaped homogeneous dielectric particles. The incident beam is described by vector expressions in terms of the electric and magnetic fields that perfectly satisfy Maxwell’s equations. The scattering problems involving homogeneous dielectric particles with arbitrary shapes are formulated with the electric and magnetic current combined-field integral equation and modeled by using surface triangular patches. Solutions are performed iteratively by using the multilevel fast multipole algorithm. Some numerical results are included to illustrate the validity and capability of the proposed method. These results are also expected to provide useful insights into the scattering of a Bessel beam by complex-shaped particles.

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Citations
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On the electromagnetic scattering of arbitrary shaped beams by arbitrary shaped particles: A review

TL;DR: A review devoted to a synthetic and unified view of these two streams is presented in this paper, with a focus on light scattering theories and their applications, and a review of the applications of light scattering theory along two streams.
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Latest achievements in generalized Lorenz‐Mie theories: A commented reference database

TL;DR: This paper provides a commented reference database concerning generalized Lorenz-Mie theories for the period 2009-2013.
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Field-only surface integral equations: scattering from a perfect electric conductor

TL;DR: In this paper, a field-only boundary integral formulation of electromagnetics is derived without the use of surface currents that appear in the Stratton-Chu formulation, where the components of the electric field are obtained directly from surface integral equation solutions of three scalar Helmholtz equations for the field components.
Journal ArticleDOI

Internal and near-surface electromagnetic fields for a dielectric spheroid illuminated by a zero-order Bessel beam.

TL;DR: The study of internal and near-surface field distributions will contribute to the understanding of Bessel beam scattering by nonspherical particles with sizes close to the incident wavelength.
Journal ArticleDOI

Light scattering of a non-diffracting zero-order Bessel beam by uniaxial anisotropic bispheres

TL;DR: Based on the generalized multi-particle Mie theory and the Fourier transformation approach, light scattering of two interacting homogeneous uniaxial spheres with parallel primary optical axes illuminated by a zero-order Bessel beam (ZOBB) is investigated in this paper.
References
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Journal ArticleDOI

Electromagnetic scattering by surfaces of arbitrary shape

TL;DR: In this paper, the electric field integral equation (EFIE) is used with the moment method to develop a simple and efficient numerical procedure for treating problems of scattering by arbitrarily shaped objects.
Journal ArticleDOI

Exact solutions for nondiffracting beams. I. The scalar theory

TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
Journal ArticleDOI

Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects

TL;DR: Using these techniques, the FMM and MLFMA can solve the problem of electromagnetic scattering by large complex three-dimensional objects such as an aircraft on a small computer.
Journal ArticleDOI

Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation

TL;DR: In this article, the authors present a theoretical description of the scattering of a Gaussian beam by a spherical, homogeneous, and isotropic particle, based on the Bromwich method and closely following Kerker's formulation for plane-wave scattering.