Energy budget and optical theorem for scattering of source-induced fields

Moskalensky, Alexander E.; Yurkin, Maxim A.

doi:10.1103/physreva.99.053824

Cited by 27 publications

(38 citation statements)

References 51 publications

(133 reference statements)

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“…where "Im" stands for "the imaginary part of." This representation is a direct consequence of the divergence theorem and the Maxwell curl equations [15]. Obviously,…”

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confidence: 89%

Additivity of integral optical cross sections for a fixed tenuous multi-particle group

Mishchenko

Yurkin

2019

Opt. Lett.

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We use the volume integral equation formulation of frequency-domain electromagnetic scattering to settle the issue of additivity of the extinction, scattering, and absorption cross sections of a fixed tenuous group of particles. We show that all the integral optical cross sections of the group can be obtained by summing up the corresponding individual-particle cross sections, provided that the single-scattering approximation applies.Ever since the publication of the monumental text by van de Hulst [1], additivity of the integral optical cross sections of particles forming a small group has typically been taken for granted. However, the arguments in Ref. [1] as well as in Refs. [2][3][4] are fragmentary as well as qualitative. Importantly, they invoke statistical randomness of particle positions in the group as a necessary condition of additivity. More recently, it was shown that randomness is not required for additivity of the individual extinction cross sections [5,6], yet it was still invoked in Refs. [5][6][7] to demonstrate the additivity of the scattering cross sections. Most recently [8], this issue was analyzed on the basis of the superposition T-matrix formulation of acoustic scattering by a multi-particle cluster [9], and it was concluded that randomness was not needed for the individual scattering cross sections to be additive.

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“…where "Im" stands for "the imaginary part of." This representation is a direct consequence of the divergence theorem and the Maxwell curl equations [15]. Obviously,…”

mentioning

confidence: 89%

Additivity of integral optical cross sections for a fixed tenuous multi-particle group

Mishchenko

Yurkin

2019

Opt. Lett.

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“…Nonadditive properties of the cross sections in conjunction with validity conditions of the discrete dipole approximation were studied in Ref. 29.…”

Section: Physical Bounds and Large-n Behaviors Of Interaction Scatter...mentioning

confidence: 99%

Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections

Kalogeropoulos

Tsitsas

2021

Stud Appl Math

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N magnetic dipoles radiate (inside or outside) a piecewise homogeneous (layered) and isotropic medium. The power fluxes and energy processes inside and outside the medium resulting from the various interactions between participating fields are investigated by means of the introduced interaction scattering cross sections (ISCS) and interaction power fluxes (IPF). Connections between the power flux through the excitation layers and the radiation in the far field are established by specifying the law of energy conservation for the considered scattering problem. Additionally, the relation between the IPF and the ISCS is derived by applying a generalized version of the optical theorem. Physical bounds for the ISCS with respect to the minimum and maximum individual cross sections and the number of excitation dipoles and layers are derived. The large-N behavior of the ISCS is analyzed. Variations of the ISCS and their physical bounds are numerically investigated.

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“…For plane-wave light scattering by a small number of particles, the additivity of the cross sections was investigated in [19] under the condition of sufficiently large distance between each particle. Non-additive properties of the cross sections in conjunction with validity conditions of the Discrete Dipole Approximation (DDA) were studied in [20].…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…. , N , using similar techniques as in the derivation of (37), and considering the definition (20), we obtain the following expression of the total ISCS…”

Section: S1nmentioning

confidence: 99%

Analysis of Interaction Scattering Cross Sections and Their Physical Bounds for Multiple-Dipole Stimulation of a Three-Dimensional Layered Medium

Kalogeropoulos

Tsitsas

2021

IEEE Open J. Antennas Propag.

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A three-dimensional layered and isotropic medium is excited by primary spherical waves due to N magnetic dipoles radiating inside or outside the medium. Interaction scattering cross sections (ISCS) are defined as the differences between the overall scattering cross section and the sum of the individual cross sections generated by all dipoles within a layer or by all N dipoles. Optical theorems and physical bounds for the ISCS are established. Extensive numerical investigations are performed for the variations of the ISCS and their physical bounds with respect to the geometrical and physical characteristics of the layered medium. Conditions for which ISCS contribute significantly in the overall cross section are analyzed. It is also demonstrated that the number of excitation layers and the total number N of dipoles can be determined by means of the individual scattering cross sections.

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Energy budget and optical theorem for scattering of source-induced fields

Cited by 27 publications

References 51 publications

Additivity of integral optical cross sections for a fixed tenuous multi-particle group

Additivity of integral optical cross sections for a fixed tenuous multi-particle group

Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections

Analysis of Interaction Scattering Cross Sections and Their Physical Bounds for Multiple-Dipole Stimulation of a Three-Dimensional Layered Medium

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