scholarly journals Wave Propagation Solution for Transverse Electric Mode in a Graded Interface between Left-Handed and Right-Handed Material

2016 ◽  
Vol 5 (3) ◽  
pp. 80
Author(s):  
B. N. Pratiwi ◽  
A. Suparmi ◽  
C. Cari
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Iteration Method ◽  
Transverse Electric ◽  
Negative Permittivity ◽  
Asymptotic Iteration Method ◽  
Hyperbolic Function ◽  
Left Handed ◽  
Permittivity And Permeability ◽  
Electric Mode

Wave propagation for transverse electric (TE) mode in a graded interface between left-handed and right-handed material has been investigated by using asymptotic iteration method. By using hyperbolic functions for negative permittivity and negative permeability, we obtained the graded graphs of permittivity and permeability as a function of material thickness. Maxwell equation for the dielectric with the hyperbolic function in permittivity and permeability has been reduced to second orde differential equation. The second orde differential equation has been solved by using asymptotic iteration method with the eigen functions in complementary error functions. The eigen functions explained about the wave propagation in a graded interface of material. The distribution of the electric field and the wave vector were given in approximate solution.

scholarly journals Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentials

Open Physics ◽  
2013 ◽  
Vol 11 (1) ◽  
Author(s):  
Hakan Ciftci ◽  
Richard Hall ◽  
Nasser Saad
Keyword(s):  
Differential Equation ◽  
Coordinate Transformation ◽  
Iteration Method ◽  
Order Differential Equation ◽  
Approximate Solutions ◽  
Asymptotic Iteration Method ◽  
Perturbation Expansions ◽  
One Dimensional ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation

AbstractThe asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine, tangent-squared, and complex cotangent). Analytic and approximate solutions are obtained by first using a coordinate transformation to reduce the Schrödinger equation to a second-order differential equation with an appropriate form. The asymptotic iteration method is also employed indirectly to obtain the terms in perturbation expansions, both for the energies and for the corresponding eigenfunctions.

REVERSAL OF INTERFERENCE IN LEFT HANDED MEDIUM

2005 ◽  
Vol 14 (02) ◽  
pp. 245-257 ◽  
Author(s):  
LANDOBASA YOSEF MARIO ◽  
XIAOCONG YUAN ◽  
MEE-KOY CHIN
Keyword(s):  
Poynting Vector ◽  
Negative Refraction ◽  
Beam Propagation Method ◽  
Negative Permittivity ◽  
Causality Condition ◽  
Interference Effects ◽  
Left Handed ◽  
Permittivity And Permeability ◽  
Conventional Material ◽  
First Time

A material that has both negative permittivity and permeability is termed as left-handed material. The properties of Left Handed Material (LHM), such as negative refraction, have been simulated numerically by beam propagation method. The results are consistent with other works reported in the literature. It is shown that the Poynting vector and the phase velocity of the electromagnetic wave are indeed anti-parallel, confirming that the left-handed material does not violate the causality condition. It is conventional to simulate the phase restoring mechanism in a left-handed medium by showing (negative) refraction at an interface between an LHM and a conventional material. In this paper, we show for the first time, a simulation using BPM for the case of multiple-slit interference using Gaussian beam. The interference for two to three sources with different separations is used to show that the LHM can restore the phase and reverse the diffraction and interference effects.

Characteristics of Left Handed Materials

2021 ◽  
Vol 19 (11) ◽  
pp. 01-14
Author(s):  
Thill A. Kadhum Al-Musawi ◽  
Samira Adnan Mahdi ◽  
Sundus Yaseen Hasan AL-Asadi
Keyword(s):  
Computer Simulation ◽  
Refractive Index ◽  
Ring Resonator ◽  
Split Ring Resonator ◽  
Negative Permittivity ◽  
Split Ring ◽  
Left Handed ◽  
Artificial Materials ◽  
Permittivity And Permeability ◽  
Gap Width

Researchers have been interested in studying so-called Left-Handed Metamaterials LHM, which are artificial materials. These materials have unusual characteristics, like negative permittivity and permeability, and therefore negative index. This paper has been discussed some characteristics of LHM by designing a square split ring resonator SRR and simulating with CST microwave studio (Computer Simulation Technology) to get S-parameters. The broadband frequencies (0-30) GHz were taking to specify the effective range of frequencies to work with, which was found to be between (8- 14) GHz. Then, the parameters of SRR have been varied such as split width on, gap width, metal width, rod width and metal material. The measurements show some of parameters have been affected the values of resonance frequency and the others are not. Also, the negative values of permittivity, permeability, and refractive index have been approved.

Electromagnetically Induced Left-Handedness in a Dense Atomic Vapor Medium

2012 ◽  
Vol 571 ◽  
pp. 529-533
Author(s):  
Li Qiang Wang ◽  
Xiang’an Yan
Keyword(s):  
Magnetic Permeability ◽  
Negative Permittivity ◽  
Atomic Vapor ◽  
Level System ◽  
Probe Field ◽  
Magnetic Part ◽  
Left Handedness ◽  
Left Handed ◽  
Permittivity And Permeability ◽  
Atomic Gas

We discuss how a three-level system can be used to change the frequency-dependent magnetic permeability of a dense atomic gas to be significantly different from 1. The results show that a negative permittivity and permeability simultaneously with transparent propagation of the electric part of the probe filed can be obtained. Moreover, the magnetic part of the probe field can be amplified instead of strong absorption as usual materials. Therefore, it may be possible to obtain left-handed electrodynamics for an atomic gas using three atomic levels.

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