Mie-Type Calculation of the Generalized Electromagnetic Nonlocal Conductivity Tensor for a Sphere and Its Equivalence to the T-Matrix Operator
Joint Authors
Gutiérrez-Reyes, E.
Barrera, Rubén G.
García-Valenzuela, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-06
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The purpose of this article is to calculate the generalized nonlocal conductivity tensor of a spherical particle made of isotropic and linear materials.
The generalized conductivity tensor is a crucial element in the formulation of the mean-field theories of the electromagnetic response of random particulate systems.
This is equivalent to what is called the T-Matrix in multiple scattering theories.
Here, a new method is proposed for finding explicit expressions for this tensor directly from its definition including the magnetic response of the spheres.
Its relation with the S-Matrix in the theory of single scattering is stated as a generalization.
Several approximations and limit cases of possible interest in specific systems are analyzed and the results of some calculations are presented as a numerical example.
American Psychological Association (APA)
Gutiérrez-Reyes, E.& Barrera, Rubén G.& García-Valenzuela, A.. 2019. Mie-Type Calculation of the Generalized Electromagnetic Nonlocal Conductivity Tensor for a Sphere and Its Equivalence to the T-Matrix Operator. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1194399
Modern Language Association (MLA)
Gutiérrez-Reyes, E.…[et al.]. Mie-Type Calculation of the Generalized Electromagnetic Nonlocal Conductivity Tensor for a Sphere and Its Equivalence to the T-Matrix Operator. Mathematical Problems in Engineering No. 2019 (2019), pp.1-20.
https://search.emarefa.net/detail/BIM-1194399
American Medical Association (AMA)
Gutiérrez-Reyes, E.& Barrera, Rubén G.& García-Valenzuela, A.. Mie-Type Calculation of the Generalized Electromagnetic Nonlocal Conductivity Tensor for a Sphere and Its Equivalence to the T-Matrix Operator. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1194399
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194399