Lorentz invariance of absorption and extinction cross sections of a uniformly moving object

Garner, Timothy J.; Lakhtakia, Akhlesh; Breakall, James K.; Bohren, Craig F.

doi:10.1103/physreva.96.053839

Cited by 8 publications

(6 citation statements)

References 31 publications

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“…We converted the electromagnetic fields of the incident signal to the frequency domain by using a discrete Fourier transform and computed the scattered field phasors using an analytical technique [6,7] based on the Lorenz-Mie series solution [11] in Step (ii). Details of the transformations between time and frequency domains are available elsewhere [5,12]. As with a solid, homogenous sphere, the power scattering, power absorption, and power extinction cross sections in K were computed using the coefficients of the scattered field phasors in the Lorenz-Mie solution [11, Eqs.…”

Section: Methodsmentioning

confidence: 99%

“…The total scattered energy was calculated by numerically integrating the scattered energy density using 41-point Gauss-Kronrod quadrature [14][15, pp. 153-155] over θ and 32-point rectangular integration over φ [15], as described elsewhere [5,Sec. IIA] We used measured, wavelength-dependent constitutive parameters for bulk gold [16], olivine silicate (MgFeSiO 4 ) [17], and magnetite (Fe 3 O 4 ) [18].…”

Section: Methodsmentioning

confidence: 99%

“…The normalized total energy scattering, absorption, and extinction cross sections in K are defined as [5]…”

Section: Methodsmentioning

confidence: 99%

“…In this Letter, we use the frame-hopping technique to investigate the effects of uniform translational motion on the energy extinction, energy absorption, and total energy scattering cross sections [5] of inhomogenous objects. We chose concentrically layered spheres as suitable examples because an analytical solution for planewave scattering by these objects exists [6,7] in the co-moving frame, thereby avoiding inaccuracies arising from the implementation of numerical techniques such as the finite-difference time-domain method [8,9].…”

Section: Introductionmentioning

confidence: 99%

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Scattering characteristics of relativistically moving concentrically layered spheres

Garner¹,

Lakhtakia²,

Breakall³

et al. 2018

Physics Letters A

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The energy extinction cross section of a concentrically layered sphere varies with velocity as the Doppler shift moves the spectral content of the incident signal in the sphere's co-moving inertial reference frame toward or away from resonances of the sphere. Computations for hollow gold nanospheres show that the energy extinction cross section is high when the Doppler shift moves the incident signal's spectral content in the co-moving frame near the wavelength of the sphere's localized surface plasmon resonance. The energy extinction cross section of a three-layer sphere consisting of an olivine-silicate core surrounded by a porous and a magnetite layer, which is used to explain extinction caused by interstellar dust, also depends strongly on velocity. For this sphere, computations show that the energy extinction cross section is high when the Doppler shift moves the spectral content of the incident signal near either of olivine-silicate's two localized surface phonon resonances at 9.7 µm and 18 µm.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…The normalized total energy scattering, absorption, and extinction cross sections in K are defined as [5]…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scattering characteristics of relativistically moving concentrically layered spheres

Garner¹,

Lakhtakia²,

Breakall³

et al. 2018

Physics Letters A

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“…Equations of this type naturally appear in consideration of superradiance in stars[1,30] and many other applications[31,32].…”

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confidence: 99%

Superradiance in a ghost-free scalar theory

Frolov

Zelnikov

2018

Phys. Rev. D

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We study superradiance effect in the ghost-free theory. We consider a scattering of a ghost-free scalar massless field on a rotating cylinder. We assume that cylinder is thin and empty inside, so that its interaction with the field is described by a delta-like potential. This potential besides the real factor, describing its height, contains also imaginary part, responsible for the absorption of the field. By calculating the scattering amplitude we obtained the amplification coefficient both in the local and non-local (ghost-free) models and demonstrated that in the both cases it is greater than 1 when the standard superradiance condition is satisfied. We also demonstrated that dependence of the amplification coefficient on the frequency of the scalar field wave may be essentially modified in the non-local case. arXiv:1809.00417v1 [hep-th] 3 Sep 2018

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Anisotropy and Bianisotropy

Mackay,

Lakhtakia

2024

Encyclopedia of RF and Microwave Engineering

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The electromagnetic properties of an isotropic medium are the same in all directions. Accordingly, isotropic media are characterized simply by scalar constitutive parameters which relate the induction field phasors and to the primitive field phasors and . In contrast, anisotropic media exhibit directionally dependent electromagnetic properties, such that is not aligned with and/or is not aligned with . Furthermore, recent advances have focused attention on bianisotropic media, wherein both and are anisotropically coupled to both and . Therefore, dyadics (i.e., second‐rank Cartesian tensors) are needed to relate the primitive and the induction field phasors in both anisotropic and bianisotropic media. Correspondingly, these media exhibit a vastly more diverse range of phenomena than do isotropic media. A consequence of this wealth of interesting properties is that electromagnetic analyses are considerably more complicated for anisotropic and bianisotropic media than for isotropic media. In this chapter, anisotropic and bianisotropic media are discussed in terms of their constitutive dyadics and space–time symmetries. Planewave propagation, dyadic Green functions, and the conceptualization of anisotropic and bianisotropic media via homogenization are described. A brief account of anisotropic and bianisotropic behavior in nonlinear media concludes this chapter.

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Lorentz invariance of absorption and extinction cross sections of a uniformly moving object

Cited by 8 publications

References 31 publications

Scattering characteristics of relativistically moving concentrically layered spheres

Scattering characteristics of relativistically moving concentrically layered spheres

Superradiance in a ghost-free scalar theory

Anisotropy and Bianisotropy

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