scholarly journals Approximate solution wave propagation in TM mode through a graded interface of permittivity/permeability profile using asymptotic iteration method

2016 ◽  
Author(s):  
Andri S. Husein ◽  
C. Cari ◽  
A. Suparmi ◽  
Miftachul Hadi
Keyword(s):  
Wave Propagation ◽  
Approximate Solution ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Tm Mode

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 THE ENERGY EIGENVALUES OF THE TWO DIMENSIONAL HYDROGEN ATOM IN A MAGNETIC FIELD

2006 ◽  
Vol 15 (06) ◽  
pp. 1263-1271 ◽  
Author(s):  
A. SOYLU ◽  
O. BAYRAK ◽  
I. BOZTOSUN
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Iteration Method ◽  
Weak Magnetic Field ◽  
The Other ◽  
Asymptotic Iteration Method ◽  
Iterative Approach ◽  
Two Dimensional ◽  
Energy Eigenvalues ◽  
The Magnetic Field

In this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the case with no magnetic field analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for n=2-10 and m=0-1 states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.

EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)2 USING THE ASYMPTOTIC ITERATION METHOD

2007 ◽  
Vol 22 (22) ◽  
pp. 1677-1684 ◽  
Author(s):  
A. J. SOUS
Keyword(s):  
Excited States ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Arbitrary Parameter ◽  
Exactly Solvable

By using the asymptotic iteration method, we have calculated numerically the eigenenergies En of Razavy potential V(x) = (ζ cosh 2x-M)2. The calculated eigenenergies are identical with known values in the literature. Finally, the non-quasi-exactly solvable eigenenergies of Razavy potential for the highest excited states are numerically determined. Some new results for arbitrary parameter M also presented.

scholarly journals Asymptotic iteration method for solving Hahn difference equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lucas MacQuarrie ◽  
Nasser Saad ◽  
Md. Shafiqul Islam
Keyword(s):  
Difference Equations ◽  
Iteration Method ◽  
Difference Operator ◽  
Sufficient Conditions ◽  
Asymptotic Iteration Method ◽  
Order Linear ◽  
Polynomial Solutions ◽  
Hahn Difference Equations ◽  
Iteration Methods ◽  
Necessary And Sufficient

AbstractHahn’s difference operator $D_{q;w}f(x) =({f(qx+w)-f(x)})/({(q-1)x+w})$ D q ; w f ( x ) = ( f ( q x + w ) − f ( x ) ) / ( ( q − 1 ) x + w ) , $q\in (0,1)$ q ∈ ( 0 , 1 ) , $w>0$ w > 0 , $x\neq w/(1-q)$ x ≠ w / ( 1 − q ) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM). The technique is applied to solve the second-order linear Hahn difference equations. The necessary and sufficient conditions for polynomial solutions are derived and examined for the $(q;w)$ ( q ; w ) -hypergeometric equation.

scholarly journals Solution of Five-dimensional Schrodinger equation for Kratzer’s potential and trigonometric tangent squared potential with asymptotic iteration method (AIM)

2017 ◽  
Vol 1 (2) ◽  
pp. 115
Author(s):  
Agung Budi Prakoso ◽  
A Suparmi ◽  
C Cari
Keyword(s):  
Quantum Number ◽  
Iteration Method ◽  
Diatomic Molecules ◽  
Dimensional Space ◽  
Numerical Data ◽  
Asymptotic Iteration Method ◽  
Radial Part ◽  
Dimensional Solution ◽  
Angular Part ◽  
Kratzer’S Potential

Non-relativistic bound-energy of diatomic molecules determined by non-central potentials in five dimensional solution using AIM. Potential in five dimensional space consist of Kratzer’s potential for radial part and Tangent squared potential for angular part. By varying <em>n<sub>r</sub></em>, <em>n</em><sub>1</sub>, <em>n</em><sub>2</sub>, <em>n</em><sub>3</sub>, dan <em>n</em><sub>4</sub> quantum number on CO, NO, dan I<sub>2</sub> diatomic molecules affect bounding energy values. It knows from its numerical data.

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