ISSN (Print): 2333-4878

ISSN (Online): 2333-4886

Editor-in-Chief: Vishwa Nath Maurya

Website: http://www.sciepub.com/journal/AMP

   

Article

Attenuation in Left-handed Waveguide Structure by Equivalent Current Theory Method

1Physics Department, Al Azhar University, Gaza Strip, Palestinian Authority

2Physics Department, Islamic University, Gaza Strip, Palestinian Authority


Applied Mathematics and Physics. 2015, 3(1), 1-5
doi: 10.12691/amp-3-1-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
Hana M. Mousa, Mohammed M. Shabat. Attenuation in Left-handed Waveguide Structure by Equivalent Current Theory Method. Applied Mathematics and Physics. 2015; 3(1):1-5. doi: 10.12691/amp-3-1-1.

Correspondence to: Hana  M. Mousa, Physics Department, Al Azhar University, Gaza Strip, Palestinian Authority. Email: H.mousa @ alazhar.edu.ps

Abstract

In this work, the propagation and attenuation characteristics of both TE and TM waves in a waveguide structure consisting of left handed material (LHM) film by using the equivalent current theory of optical waveguide coupling method have been derived and obtained. The dispersion relations and the attenuation coefficient were numerically solved for a given set of parameters: allowed phase angles; core’s thicknesses; and propagation constants. We found that lower attenuation is realized for higher propagation constants. Moreover, attenuation coefficient has same small positive values for all thickness in phase angles range of values (00-570). Besides that, the attenuation decreases to negative values with thickness increase in phase angles range of values (570-590) which means a gain of the wave is achieved for wider buffer layer and at larger phase angles. We also found that, TE waves have lower attenuation than that of TM waves.

Keywords

References

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[9]  Mousa, H.M. and Shabat, M.M., “TM waves in cylindrical Superlattices (LANS) bounded by left handed materials,” App. Phys A 111, 1057-1063, 2013.
 
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Article

Atom Bond Connectivity Index of Carbon Nanocones and An Algorithm

1Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, Manisa, Turkey

2Turgutlu Vocational Training School, Celal Bayar University, Manisa, Turkey


Applied Mathematics and Physics. 2015, 3(1), 6-9
doi: 10.12691/amp-3-1-2
Copyright © 2015 Science and Education Publishing

Cite this paper:
Ömür Kıvanç Kürkçü, Ersin Aslan. Atom Bond Connectivity Index of Carbon Nanocones and An Algorithm. Applied Mathematics and Physics. 2015; 3(1):6-9. doi: 10.12691/amp-3-1-2.

Correspondence to: Ömür  Kıvanç Kürkçü, Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, Manisa, Turkey. Email: omurkivanc@outlook.com

Abstract

Let G be a chemical graph, where V(G) and E(G) are represented set of vertices and edges respectively. Atom bond connectivity index ABC(G) is related to degree of vertices of graph G. In this paper, we calculate the index for generalized carbon nanocones. Subsequently, an useful algorithm (pseudocode) are given. The goal of this paper is to further the study of ABC(G) index for generalized carbon nanocones.

Keywords

References

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Article

On Instability of Dynamic Equilibrium States of Vlasov-Poisson Plasma

1Laboratory for Fluid and Gas Vortical Motions, Lavrentyev Institute for Hydrodynamics, Novosibirsk, Russian Federation

2Department for Differential Equations, Novosibirsk State University, Novosibirsk, Russian Federation


Applied Mathematics and Physics. 2016, 4(1), 1-8
doi: 10.12691/amp-4-1-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
Yuriy G. Gubarev. On Instability of Dynamic Equilibrium States of Vlasov-Poisson Plasma. Applied Mathematics and Physics. 2016; 4(1):1-8. doi: 10.12691/amp-4-1-1.

Correspondence to: Yuriy  G. Gubarev, Laboratory for Fluid and Gas Vortical Motions, Lavrentyev Institute for Hydrodynamics, Novosibirsk, Russian Federation. Email: gubarev@hydro.nsc.ru

Abstract

The problem on linear stability of one–dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov–Poisson plasma) is studied. It is proved by the direct Lyapunov method that these equilibrium states are absolutely unstable with respect to small 1D perturbations in the case when the Vlasov–Poisson plasma contains electrons with stationary distribution function, which is constant over the physical space and variable in velocities, and one variety of ions whose distribution function is constant over the phase space as a whole. In addition, sufficient conditions for linear practical instability are obtained, the a priori exponential lower estimate is constructed, and initial data for perturbations, growing in time, are described. Finally, the illustrative analytical example of considered 1D states of dynamic equilibrium and superimposed small 1D perturbations, which grow on time in accordance with the obtained estimate, is constructed.

Keywords

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