Extension of the Lorenz–Mie–Debye method for electromagnetic scattering to the time-domain

Greengard, Leslie; Hagstrom, Thomas; Jiang, Shidong

doi:10.1016/j.jcp.2015.07.009

Cited by 7 publications

(8 citation statements)

References 15 publications

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“…An explicit, stable, and high-order numerical scheme was developed, based on our earlier treatment of the scalar case. This new representation may provide some insight into transient electromagnetic phenomena, and can also serve as a reference solution for general purpose time-domain software packages [8,9].…”

Section: Scientific and Technical Activities And Findingsmentioning

confidence: 99%

Novel Methods for Electromagnetic Simulation and Design

Greengard¹

2016

Self Cite

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Section: Scientific and Technical Activities And Findingsmentioning

confidence: 99%

Novel Methods for Electromagnetic Simulation and Design

Greengard¹

2016

Self Cite

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“…Due to the increasing interest in such optical and optomechanical systems, a wealth of numerical [12,13] and perturbative methods have been developed to determine the resonances of such slightly deformed dielectric spheres. The most sophisticated perturbative methods are the resonant state expansion (RSE) [14][15][16] and the Kapur-Peierls (KP) formalism [17].…”

Section: Introductionmentioning

confidence: 99%

Perturbation Theory of Optical Resonances of Deformed Dielectric Spheres

Gohsrich

2020

Preprint

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Light injected into a spherical dielectric body may be confined very efficiently via the mechanism of total internal reflection. The frequencies that are most confined are called resonances. If the shape of the body deviates from the perfect spherical form the resonances change accordingly. In this thesis, a perturbation theory for the optical resonances of such a deformed sphere is developed. The optical resonances of such an open system are characterized by complex eigenvalues, where the real part relates to the frequency of the resonant light and the imaginary part to the energy leakage out of the system. As unperturbed and analytically solvable problem serves the homogeneous dielectric sphere, and the corrections to its eigenvalues are determined up to and including second order for any polarization of light. For each order, the corrections of the optical resonances are determined by a finite-dimensional linear eigenvalue equation, similar to degenerate time-independent perturbation theory in quantum mechanics. Furthermore, geometrically intuitive applicability criteria are derived. To check the validity of the presented method, it is applied and compared to an analytically solvable problem.

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“…The Lorenz-Mie theory was a classical method to calculate the scattering properties of a single homogeneous particle. It was not only used to calculate scattering and absorption cross-sections but also the angular scattering for diameter of spherical particle, refractive index, and wavelength of incident light (De Leeuw and Lamberts, 1987;Ma, 2007;Li et al, 2012;Dlugach and Mishchenko, 2014;Han et al, 2014;Greengard et al, 2015;Briard et al, 2016). The phase function was dependent on the refractive index, the incident wavelength, and the particle size.…”

Section: Introductionmentioning

confidence: 99%

Measurement and Evaluation of Elastic Light Scattering from a Single Levitated Irregular Particle

Kao

Huang

Chen

et al. 2017

Aerosol Air Qual. Res.

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This study introduced a convenient experimental method to measure and to evaluate the elastic light scattering from a single irregular particle. The particle levitation system was used to trap a particle and to maintain the particle at null position by utilizing electrodynamic balance. Moreover, the Raman spectroscopy was applied to observe the light scattering of a single particle. The influences of relative humidity on optical properties of particle were also discussed. For comparison with experimental results, the classical Lorenz-Mie theory was employed to compute the phase function of a single particle. The experimental results demonstrated that the measurements of light scattering were in approximate trend with the model. In particular, numerical simulation results showed that the scattering intensity was underestimated in backward scattering directions. Consequently, the effect of surface roughness and irregular morphology of particle might be resulted in deviations of backward scattering. Besides, the experiments suggested that while using the weighted average method to estimate the refractive index might cause some significant deviations of light scattering between measuring and modeling.

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Extension of the Lorenz–Mie–Debye method for electromagnetic scattering to the time-domain

Cited by 7 publications

References 15 publications

Novel Methods for Electromagnetic Simulation and Design

Novel Methods for Electromagnetic Simulation and Design

Perturbation Theory of Optical Resonances of Deformed Dielectric Spheres

Measurement and Evaluation of Elastic Light Scattering from a Single Levitated Irregular Particle

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