A new approach for analysis of dielectric periodic structures

1990 ◽  
Author(s):  
Shan-jia Xu
Keyword(s):  
Periodic Structures ◽  
New Approach

Coordination sequences and layer-by-layer growth of periodic structures

2019 ◽  
Vol 234 (5) ◽  
pp. 291-299
Author(s):  
Anton Shutov ◽  
Andrey Maleev
Keyword(s):  
Generating Functions ◽  
Diophantine Equations ◽  
Periodic Structures ◽  
Layer Growth ◽  
Layer By Layer ◽  
Explicit Formulas ◽  
New Approach ◽  
Coordination Numbers ◽  
Linear Diophantine Equations ◽  
Recurrent Relations

Abstract A new approach to the problem of coordination sequences of periodic structures is proposed. It is based on the concept of layer-by-layer growth and on the study of geodesics in periodic graphs. We represent coordination numbers as sums of so called sector coordination numbers arising from the growth polygon of the graph. In each sector we obtain a canonical form of the geodesic chains and reduce the calculation of the sector coordination numbers to solution of the linear Diophantine equations. The approach is illustrated by the example of the 2-homogeneous kra graph. We obtain three alternative descriptions of the coordination sequences: explicit formulas, generating functions and recurrent relations.

A New Approach to Hybrid Nanocomposite Materials with Periodic Structures

2002 ◽  
Vol 124 (49) ◽  
pp. 14512-14513 ◽  
Author(s):  
Jiguang Zhang ◽  
Neil Coombs ◽  
Eugenia Kumacheva
Keyword(s):  
Periodic Structures ◽  
Nanocomposite Materials ◽  
Hybrid Nanocomposite ◽  
New Approach

Statistical energy analysis of periodic structures

1989 ◽  
Vol 423 (1865) ◽  
pp. 331-360 ◽  
Keyword(s):  
Energy Flow ◽  
Probabilistic Models ◽  
Energy Analysis ◽  
Natural Frequencies ◽  
Periodic Structures ◽  
Statistical Energy Analysis ◽  
Box Girder Bridges ◽  
Box Girder ◽  
New Approach ◽  
Girder Bridges

Methods evolved from the study of wave propagation through geometrically periodic media are used to enhance the probabilistic models used in statistical energy analysis (SEA). These enhanced models are based on calculations of the pass bands of typical elements of periodic structures and allow SEA to reflect the highly non-uniform distribution of natural frequencies found in such structures. Moreover, the enhancements do not require substantial reworking of the principal results of SEA, nor do they involve major exercises in computing. They also cater for the important case of structures that deviate from pure periodicity. By way of example the flow of energy between two parts of a ship’s structure is investigated. These investigations contrast the results obtained from an ‘exact’ modal analysis of the structure, normal SEA approaches and that now proposed. The new approach is shown to provide worthwhile improvements in energy flow predictions when compared to traditional SEA. These improvements are applicable to a wide variety of geometrically periodic structures, ranging from off-shore platforms through box girder bridges to satellites.

Characterization of the composite right/left-handed transmission line metamaterial circuits using iterative method WCIP

2017 ◽  
Vol 9 (8) ◽  
pp. 1645-1652 ◽  
Author(s):  
Taieb Elbellili ◽  
Mohamed Karim Azizi ◽  
Lassaad Latrach ◽  
Hichem Trabelsi ◽  
Ali Gharsallah ◽  
...  
Keyword(s):  
Transmission Lines ◽  
Theoretical Study ◽  
Periodic Structures ◽  
New Approach ◽  
Left Handed ◽  
Current Voltage ◽  
Real Behavior ◽  
Simulation Results ◽  
Process Method

A new study of right-handed and composite right/left-handed metamaterial transmission lines (TL) using their equivalent circuits and a new approach of the wave concept iterative process method is presented. This approach has the advantage of simulating all the periodic structures by only simulating one basic cell thanks to the surrounding periodic walls. A suitable choice of the cell length is necessary to work with the current as well as voltage and to approach the real behavior of the TL. The simulation results of these circuits, such as the calculation of current, voltage and the parameters S, helped to validate all the theoretical study.

scholarly journals A New Approach in the Simplification of a Multiple-Beam Forming Network Based on CORPS Using Compressive Arrays

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Armando Arce ◽  
Leonardo F. Yepes ◽  
David H. Covarrubias ◽  
Marco A. Panduro
Keyword(s):  
Antenna Arrays ◽  
Periodic Structures ◽  
Matrix Pencil ◽  
Antenna System ◽  
Beam Forming ◽  
New Approach ◽  
Linear Arrays ◽  
Beam Design ◽  
Matrix Pencil Method ◽  
Steerable Antenna

This research paper deals with a innovative way to simplify the design of beam-forming networks (BFNs) for multibeam steerable antenna arrays based on coherently radiating periodic structures (CORPS) technology using the noniterative matrix pencil method (MPM). This design approach is based on the application of the MPM to linear arrays fed by CORPS-BFN configurations to further reduce the complexity of the beam-forming network. Two 2-beam design configurations of CORPS-BFN for a steerable linear array are analyzed and compared using this compressive method. Simulation results show the effectiveness and advantages of applying the MPM on BFNs based on CORPS exploiting the nonuniformity of the antenna elements. Furthermore, final results show that the integration of CORPS-BFN and MPM reduces the entire antenna system including the antenna array and the beam-forming network subsystem resulting in a substantial simplification in such systems.

A new approach for efficient analysis of large finite periodic structures

2014 ◽  
Author(s):  
Xiaoyan Y. Z. Xiong ◽  
Ling Ling Meng ◽  
Li Jun Jiang ◽  
Wei E.I. Sha ◽  
Fan Yang
Keyword(s):  
Periodic Structures ◽  
New Approach

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

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