Variational finite element solution of electromagnetic wave propagation in a one‐dimensional inhomogeneous anisotropic medium

1984 ◽  
Vol 55 (3) ◽  
pp. 630-636 ◽  
Author(s):  
Shyh‐Kang Jeng ◽  
Chun Hsiung Chen
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Anisotropic Medium ◽  
Electromagnetic Wave Propagation ◽  
Finite Element Solution ◽  
Element Solution ◽  
One Dimensional ◽  
Inhomogeneous Anisotropic Medium

Gekoppelte Wellengleichungen für inhomogene anisotrope Medien

1954 ◽  
Vol 9 (7-8) ◽  
pp. 630-636
Author(s):  
Kurt Suchy
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Anisotropic Medium ◽  
Wave Equations ◽  
Electromagnetic Wave Propagation ◽  
Inhomogeneous Anisotropic Medium ◽  
Special System ◽  
Coupled Wave Equations ◽  
Coupling Terms ◽  
Wave Normal

A special system of coordinates has been introduced for the calculation of electromagnetic wave propagation in an inhomogeneous, anisotropic medium. One of the coordinate axes is parallel to the wave normal, the two others (perpendicular to it) are defined by the relation between the E and D̃ vector. In the coupled wave equations it is shown that the coupling terms can be neglected under certain conditions.

ELECTROMAGNETIC WAVE PROPAGATION CHARACTERISTICS IN A ONE-DIMENSIONAL METALLIC PHOTONIC CRYSTAL

2008 ◽  
Vol 17 (03) ◽  
pp. 255-264 ◽  
Author(s):  
ARAFA H. ALY ◽  
SANG-WAN RYU ◽  
CHIEN-JANG WU
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Photonic Crystal ◽  
Transfer Matrix Method ◽  
Electromagnetic Wave Propagation ◽  
Plasma Frequency ◽  
Dielectric Materials ◽  
Propagation Characteristics ◽  
One Dimensional ◽  
Metallic Photonic Crystal

We theoretically studied electromagnetic wave propagation in a one-dimensional metal/dielectric photonic crystal (1D MDPC) consisting of alternating metallic and dielectric materials by using the transfer matrix method. We performed numerical analyses to investigate the propagation characteristics of a 1D MDPC. We discuss the details of the calculated results in terms of the electron density, the thickness of the metallic layer, different kinds of metals, and the plasma frequency.

scholarly journals Hierarchical Beam Finite Elements Based Upon a Variables Separation Method

2016 ◽  
Vol 08 (02) ◽  
pp. 1650026 ◽  
Author(s):  
Gaetano Giunta ◽  
Salim Belouettar ◽  
Olivier Polit ◽  
Laurent Gallimard ◽  
Philippe Vidal ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Cross Section ◽  
Three Dimensional ◽  
Finite Element Solution ◽  
Stress Fields ◽  
Element Solution ◽  
One Dimensional ◽  
Kinematic Approximation ◽  
The Cross

A family of hierarchical one-dimensional beam finite elements developed within a variables separation framework is presented. A Proper Generalized Decomposition (PGD) is used to divide the global three-dimensional problem into two coupled ones: one defined on the cross-section space (beam modeling kinematic approximation) and one belonging to the axis space (finite element solution). The displacements over the cross-section are approximated via a Unified Formulation (UF). A Lagrangian approximation is used along the beam axis. The resulting problems size is smaller than that of the classical equivalent finite element solution. The approach is, then, particularly attractive for higher-order beam models and refined axial meshes. The numerical investigations show that the proposed method yields accurate yet computationally affordable three-dimensional displacement and stress fields solutions.

Sign in / Sign up

Export Citation Format

Share Document