Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series

Hovenac, Edward A.; Lock, James A.

doi:10.1364/josaa.9.000781

Cited by 159 publications

(63 citation statements)

References 34 publications

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“…2(b) of Ref. [49] for scattering by a sphere. The small difference between the spheroid and sphere cases is likely due to the fact that for scattering by a sphere each ray path is confined to a single plane.…”

Section: Numerical Verificationmentioning

confidence: 99%

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Debye series for light scattering by a nonspherical particle

Lock

Gouesbet

2010

Phys. Rev. A

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The Debye series is developed for scattering of light by a homogeneous nonspherical particle to interpret the angular dependence of the scattered intensity in terms of various physical processes. In contrast to the previously developed Debye series for several regularly shaped particles that mirror the orthogonal curvilinear coordinate system where the variable-separation method can be applied, we develop and verify the Debye series in a coordinate-independent way using the extended boundary condition method. Verification computations are made for an oblate spheroidal water droplet of equivalent-volume sphere radius 10 µm.

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Section: Numerical Verificationmentioning

confidence: 99%

“…2(b)of Ref. [49] is then due only to rays incident in the horizontal plane. But the plane of incidence of a given ray for scattering by a spheroid changes at each interaction of the ray with the spheroid surface.…”

Section: Numerical Verificationmentioning

confidence: 99%

Debye series for light scattering by a nonspherical particle

Lock

Gouesbet

2010

Phys. Rev. A

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“…24,25 An incoming partial wave l is in part diffracted by the sphere (½), it is in part externally reflected from the sphere surface ͑ϪR l external ͞2͒, and it is in part transmitted through the sphere…”

Section: A Beam Amplitudesmentioning

confidence: 99%

Scattering of a tightly focused beam by an optically trapped particle

Lock

Wrbanek²,

Weiland³

2006

Appl. Opt.

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“…Another approach, not Lorentz-Mie-Debye formulation based, but the so-called Debye series [46] based, has been proposed to study the behaviors of time-domain scattering from spheres [47,48]. As in its frequency domain counterparts [46,49], each term in the Mie series is represented by another set of Debye series.…”

Section: Introductionmentioning

confidence: 99%

“…As in its frequency domain counterparts [46,49], each term in the Mie series is represented by another set of Debye series. After exchange of the summations and introducing some large argument approximations for spherical Bessel functions, the scattering field could be written as a simple form of Debye series, which could be transformed into time-domain using inverse Fourier transform.…”

Section: Introductionmentioning

confidence: 99%

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

Shanker²

2015

PIER

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Abstract-Canonical solutions to frequency domain Maxwell's equations, in the spherical coordinate system, have found extensive use as is evident from citations in the scientific literature. What is conspicuous by its absence is lack of such expressions for transient Maxwell systems. The existence of such expressions or approximations, provide the means to glean interesting physics in a variety of applications as well as validate existing numerical fullwave solvers. However, developing these expressions is beset with challenges; direct inverse Fourier transforms of frequency domain expressions are unstable. Successful approaches that ameliorate this instability are more recent endeavor. In this paper, we generalize our earlier contribution to this effort by exploiting a novel representation of the retarded potential to derive expressions for scattering from a dielectric sphere. Several results are provided that demonstrate the stability and accuracy of the method.

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Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series

Cited by 159 publications

References 34 publications

Debye series for light scattering by a nonspherical particle

Debye series for light scattering by a nonspherical particle

Scattering of a tightly focused beam by an optically trapped particle

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

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