Comprehensive thematic T-matrix reference database: a 2017–2019 update

Mishchenko, Michael I.

doi:10.1016/j.jqsrt.2019.106692

Cited by 46 publications

(21 citation statements)

References 256 publications

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“…We consider electromagnetic scattering properties of spheres at a fixed frequency f = 500 THz and calculate the T-matrix of the configuration at numerous points of the continuous transformation using a typical multiscattering algorithm [39], which is implemented in the code described in [40]. This allows to numerically compute the trajectory of the complex em-chirality χ c for this process, the result of which is presented in figure 3(a).…”

Section: Illustration Of Chiral Connectedness With Complex Em-chirali...mentioning

confidence: 99%

Multidimensional measures of electromagnetic chirality and their conformal invariance

Vavilin

Fernandez‐Corbaton

2022

New J. Phys.

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Proper assignment of left- and right-handed labels to general chiral objects is known to be a theoretically unfeasible problem. Attempts to utilize a pseudoscalar function to distinguish enantiomers face two unavoidable difficulties: false chiral zeros and unhanded chiral states. In here, we demonstrate how both of these problems can be solved in the context of light-matter interactions. First, we introduce a two-dimensional quantity called complex electromagnetic chirality that solves the problem of false chiral zeros. Next, we define an infinite-dimensional pseudovector called chirality signature that completely quantifies the multidimensional nature of electromagnetic chirality, does not have false global chiral zeros, and allows to continuously distinguish any pair of enantiomers because it does not produce unhanded chiral states. We prove that the introduced measures are invariant under the largest group of symmetries of Maxwell’s equations – the conformal group. The complete, continuous, and conformally invariant quantification of electromagnetic chirality provided by the chirality signature distinguishes it as a particularly suitable tool for the study of chirality and its applications.

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Section: Illustration Of Chiral Connectedness With Complex Em-chirali...mentioning

confidence: 99%

Multidimensional measures of electromagnetic chirality and their conformal invariance

Vavilin

Fernandez‐Corbaton

2022

New J. Phys.

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“…For the usual case in which internal coupling does not exist, i.e., the feeding ports are uncoupled, Γ, , , and will be diagonal block-matrices whose blocks will be the individual reflection, reception, transmission, and scattering matrices of each antenna i in isolation [5]. In (3), is a square matrix that accounts for mutual coupling between the antennas in the array…”

Section: A Analysis Of Finite Arrays Based On Translation Of Sphericmentioning

confidence: 99%

“…RANSLATION of spherical vector waves (spherical modes) has been widely used for decades for the efficient study of electromagnetic scattering by particle groups [1], [2] (and its updates [3] and references therein), in spherical nearfield antenna measurements with probe correction [4] or, more recently, for the fast analysis of finite antenna arrays [5]- [7]. Most of these works are based on computing this translation by applying addition theorems for spherical waves [8] [9], as it is a purely analytical method.…”

Section: Introductionmentioning

confidence: 99%

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

Rubio

Gómez-Alcalá

2021

IEEE Trans. Antennas Propagat.

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Mutual coupling in finite arrays of antennas with strongly overlapping minimum spheres is quickly calculated by computing the general translation matrix between spherical modes. This matrix is obtained by using the transformation properties of spherical and plane vector waves. Although this approach is less efficient than the classical one, which is based on addition theorems, it allows to overcome the well-known limitation of addition theorems that requires non-intersecting minimum spheres. Symmetry relations are provided for the translation coefficients that greatly increase the speed of computation of the general translation matrix. By computing the reflection and the transmission submatrices of the Generalized Scattering Matrix of a finite antenna array, accurate results are obtained for the S parameters and the radiation patterns of arrays in comparison with commercial software or an in-house full-wave method purely numerical. For this purpose, different types of antennas with strongly overlapping hemispheres in an array environment on a ground plane are used, such as apertures, monopoles, cavitybacked patch antennas or dielectric resonator antennas.

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“…Обе программы имеют возраст более 30 лет. За это время появились новые, более устойчивые алгоритмы вычисления сфероидальных функций [22][23][24] и стала понятна прикладная значимость сферической T -матрицы [25]. В связи с этим возникает вопрос о расчете сфероидальной T -матрицы и ее преобразовании в сферическую.…”

Section: Introductionunclassified

О Связи T-Матриц, Возникающих В Осесимметричной Задаче Рассеяния Света Сфероидом

Фарафонов¹,

Ильин²,

Туричина³

2022

Оптика И Спектроскопия

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The relations between the T-matrices emerging when solving the problem of light scattering by a spheroid by applying the expansions of the electro-magnetic fields in the employing spheroidal and spherical bases are found. The behavior of the obtained relations is numerically studied, and it is noted that in a wide range of the task parameter values the calculation of the spheroidal T-matrix and its corresponding transformation is the only practical way to derive the spherical T-matrix often used in applications.

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Comprehensive thematic T-matrix reference database: a 2017–2019 update

Cited by 46 publications

References 256 publications

Multidimensional measures of electromagnetic chirality and their conformal invariance

Multidimensional measures of electromagnetic chirality and their conformal invariance

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

О Связи T-Матриц, Возникающих В Осесимметричной Задаче Рассеяния Света Сфероидом

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