scholarly journals Dispersive and effective properties of two-dimensional periodic media

2019 ◽  
Vol 475 (2227) ◽  
pp. 20180298
Author(s):  
Yuri A. Godin ◽  
Boris Vainberg
Keyword(s):  
Electromagnetic Waves ◽  
Effective Properties ◽  
Circular Cylinders ◽  
Dielectric Tensor ◽  
Two Dimensional ◽  
Rectangular Array ◽  
Electric And Magnetic Fields ◽  
Explicit Formulae ◽  
Propagation Of Waves ◽  
Transverse Propagation

We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation of waves is described by the Helmholtz equation with the continuity conditions for the tangential components of the electric and magnetic fields on the boundaries of the cylinders. We assume that the cell size is small compared with the wavelength, but large compared with the radius a of the inclusions. Explicit formulae are obtained for asymptotic expansion of the solution of the problem in terms of the dimensionless magnitude q of the wavevector and radius a . This leads to explicit formulae for the effective dielectric tensor and the dispersion relation with the rigorously justified error of order O (( q 2  +  a 2 ) 5/2 ).

scholarly journals On the Power of Two-Dimensional Synchronized Alternating Finite Automata1

1991 ◽  
Vol 15 (1) ◽  
pp. 90-98
Author(s):  
Juraj Hromkovič ◽  
Katsushi Inoue ◽  
Akira Ito ◽  
Itsuo Takanami
Keyword(s):  
Finite Automata ◽  
Two Dimensional ◽  
Rectangular Array

It is well known that four-way two-dimensional alternating finite automata are more powerful than three-way two-dimensional alternating finite automata, which are more powerful than two-way two-dimensional alternating finite automata. This paper shows that four-way, three-way, and two-way two-dimensional “synchronized” alternating finite automata all have the same power as rectangular array bounded automata.

Scattering of a Plane Elastic Wave From Objects Near an Interface

1972 ◽  
Vol 39 (4) ◽  
pp. 1019-1026 ◽  
Author(s):  
Stephen B. Bennett
Keyword(s):  
Elastic Wave ◽  
Electromagnetic Waves ◽  
Three Dimensions ◽  
Circular Cylinders ◽  
Scattering Problems ◽  
Reflection And Refraction ◽  
Time Harmonic ◽  
Incident Plane ◽  
Boundary Curves ◽  
Consistent Formulation

The displacement field generated by the reflection and refraction of plane (time harmonic) elastic waves by finite obstacles of arbitrary shape, in the neighborhood of a plane interface between two elastic media, is investigated. The technique employed allows a consistent formulation of the problem for both two and three dimensions, and is not limited either to boundary shapes which are level surfaces in appropriate coordinate systems, i.e., circular cylinders, spheres, etc., or to closed boundary curves or surfaces. The approach is due to Twersky, and has been applied to many problems of the scattering of electromagnetic waves. The method consists of expressing the net field due to all multiple scattering in terms of the field reflected from each boundary in isolation when subjected to an incident plane elastic wave. Thus the technique makes use of more elemental scattering problems whose solutions are extant. By way of illustration, a numerical solution to the scattering of a plane elastic wave by a rigid circular cylindrical obstacle adjacent to a plane free surface is considered.

Review of Three Dimensional Dynamic Analyses of Circular Cylinders and Cylindrical Shells

1994 ◽  
Vol 47 (10) ◽  
pp. 501-516 ◽  
Author(s):  
Kostas P. Soldatos
Keyword(s):  
Cylindrical Shells ◽  
Three Dimensional ◽  
Circular Cylinders ◽  
Accurate Information ◽  
Two Dimensional ◽  
Governing Equations ◽  
Complicated Form ◽  
Dynamic Analyses ◽  
Cylindrical Panels ◽  
Elastic Cylinders

There is an increasing usefulness of exact three-dimensional analyses of elastic cylinders and cylindrical shells in composite materials applications. Such analyses are considered as benchmarks for the range of applicability of corresponding studies based on two-dimensional and/or finite element modeling. Moreover, they provide valuable, accurate information in cases that corresponding predictions based on that later kind of approximate modeling is not satisfactory. Due to the complicated form of the governing equations of elasticity, such three-dimensional analyses are comparatively rare in the literature. There is therefore a need for further developments in that area. A survey of the literature dealing with three-dimensional dynamic analyses of cylinders and open cylindrical panels will serve towards such developments. This paper presents such a survey within the framework of linear elasticity.

scholarly journals The basic theory of bipolars existence and their role in the examination of electric and magnetic fields

2021 ◽  
Vol 34 (3) ◽  
pp. 315-321
Author(s):  
Farzad Haghmoradi-Kermanshahi
Keyword(s):  
Magnetic Fields ◽  
Electromagnetic Waves ◽  
Fine Particles ◽  
Basic Theory ◽  
Electrical Charge ◽  
Negative Pole ◽  
Electric And Magnetic Fields ◽  
Physical Phenomena ◽  
The Universe

This article claims that the universe is composed of very fine particles, which are billions of times smaller than electrons. These particles consist of one positive pole and one negative pole similar to protons and electrons (in terms of electrical charge), respectively. They are point electric charges, which their movements and bending of their chain in space create magnetic fields and electromagnetic waves. These particles possess mass that verges on zero, due to their minute size. Then, by examining several physical phenomena, the presence of them will be proved.

scholarly journals Numerical Analysis of Fluid Flow on Wall Cylinder Circular with K-ε Modeling for a High Reynolds Rate

2019 ◽  
Vol 1 (3) ◽  
pp. 43-50
Author(s):  
M. Yasep Setiawan ◽  
Wawan Purwanto ◽  
Wanda Afnison ◽  
Nuzul Hidayat
Keyword(s):  
Fluid Flow ◽  
Numerical Study ◽  
General Procedure ◽  
Circular Cylinders ◽  
Cylinder Wall ◽  
Two Dimensional ◽  
Third Order ◽  
Physical Information ◽  
Flow Through ◽  
High Reynolds

This study discusses the numerical study of two-dimensional analysis of flow through circular cylinders. The original physical information entered in the equation governing most of the modeling is transferred into a numerical solution. Fluid flow on two-dimensional circular cylinder wall using high Reynolds k-ε modeling (Re = 106), Here we will do 3 modeling first oder upwind, second order upwind and third order MUSCL by using k-ε standard.  The general procedure for this research is formulated in detail for allocations in the dynamic analysis of fluid computing. The results of this study suggest that MUSCL's third order modeling gives more accurate results better than other models.

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