Fourier-Bessel Expansions of Electromagnetic Fields in Chiral Cylindrical Structures

2008 ◽  
Vol 63 (9) ◽  
pp. 557-563
Author(s):  
Pierre Hillion
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Electromagnetic Fields ◽  
Electromagnetic Wave Propagation ◽  
Constitutive Relations ◽  
Bessel Beam ◽  
Chiral Medium ◽  
Cylindrical Structures ◽  
Circular Base

To handle electromagnetic wave propagation in a semi-infinite, perfectly conducting, chiral cylinder with a circular base, on which an harmonic Bessel beam impinges, we present a theory relying on the Fourier-Bessel expansion of electromagnetic fields. The chiral medium is successively described by the Tellegen and Post constitutive relations. Conditions of wave propagation are discussed.

Constitutive relations in classical optics in terms of geometric algebra

2015 ◽  
Vol 55 (2) ◽  
Author(s):  
Adolfas Dargys
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Vector Space ◽  
Closed System ◽  
Geometric Algebra ◽  
Electromagnetic Wave Propagation ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Basis Vectors

To have a closed system, the Maxwell electromagnetic equations should be supplemented by constitutive relations which describe medium properties and connect primary fields (E, B) with secondary ones (D, H). J.W. Gibbs and O. Heaviside introduced the basis vectors {i, j, k} to represent the fields and constitutive relations in the three-dimensional vectorial space. In this paper the constitutive relations are presented in a form of Cl3,0 algebra which describes the vector space by three basis vectors {σ1, σ2, σ3} that satisfy Pauli commutation relations. It is shown that the classification of electromagnetic wave propagation phenomena with the help of constitutive relations in this case comes from the structure of Cl3,0 itself. Concrete expressions for classical constitutive relations are presented including electromagnetic wave propagation in a moving dielectric.

The Optical Properties of Nano-Materials and Electromagnetic Wave Propagation Visualized with MATLAB

2018 ◽  
Vol 773 ◽  
pp. 138-144
Author(s):  
Ye Wan Ma ◽  
Zhao Wang Wu ◽  
Quan Jin Liu ◽  
Yong Cai Sheng ◽  
Li Hua Zhang ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Optical Properties ◽  
Electromagnetic Wave ◽  
Electromagnetic Fields ◽  
Electromagnetic Wave Propagation ◽  
Nano Materials ◽  
Matlab Software ◽  
Teaching Content ◽  
Electrical Field Intensity ◽  
Field Intensity Distribution

The course of electromagnetic fields and waves has properties of abstract concept, strong theory and complex calculation, thus this course is difficult to study and understand, and then is also difficult to teach. In order to make the understanding of the course easier, MATLAB software is used as a platform in classroom teaching of electromagnetic fields and waves. This paper mainly discusses the electrical field intensity distribution of media sphere materials and the properties of electromagnetic wave propagation with MATLAB software. The optical properties of dielectric-metal core-shell multi-layered nano-shell are also studied with Laplace's equation. To enrich the teaching content and improve a better teaching effect, the optical property of nano-materials and electromagnetic wave propagation are visualized with MATLAB software, which makes the properties of nano-materials and electromagnetic wave propagation understand easily.

ELECTROMAGNETIC FIELDS OF AN OSCILLATING MAGNETIC DIPOLE OVER AN ANISOTROPIC EARTH

Geophysics ◽  
1968 ◽  
Vol 33 (2) ◽  
pp. 346-353 ◽  
Author(s):  
Ajit K. Sinha
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Magnetic Dipole ◽  
Electromagnetic Fields ◽  
Isotropic Medium ◽  
Electromagnetic Wave Propagation ◽  
Vector Potentials ◽  
The Earth ◽  
Longitudinal Conductivity ◽  
Vertical Magnetic Dipole

The problem of electromagnetic wave propagation from an oscillating magnetic dipole placed over a uniaxially anisotropic earth has been considered. Formal expressions for the vector potentials inside the earth have been derived. It has been shown that for a vertical magnetic dipole, the field components are identical to those in the case of an isotropic medium in which the conductivity is the “horizontal or longitudinal conductivity.” For a horizontal dipole, directed along the x axis, it has been shown that the vector potential inside the earth will have a y component as well as x and z components. Formal expressions for the vector potentials in air have been obtained for the case of a horizontal magnetic dipole. However when the conductivity of air is considered to be negligibly small, the field components are not affected by the anisotropy.

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