scholarly journals The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmet Taş ◽  
Soner Alpdoğan ◽  
Ali Havare
Keyword(s):  
Bound States ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Different Types ◽  
Nonrelativistic Quantum Mechanics ◽  
Application Fields ◽  
Type Potential ◽  
Transmission And Reflection

We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies.

Transmission and Reflection Coefficients for Damage Identification in 1D Elements

2009 ◽  
Vol 413-414 ◽  
pp. 95-100 ◽  
Author(s):  
Marek Krawczuk ◽  
Magdalena Palacz ◽  
Arkadiusz Zak ◽  
Wiesław M. Ostachowicz
Keyword(s):  
Damage Identification ◽  
Reflection And Transmission Coefficients ◽  
Reflection Coefficients ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Structural Discontinuity ◽  
Spectral Finite Element ◽  
Processing Techniques ◽  
Transmission And Reflection

According to the latest research results presented in the literature changes in propagating waves are one of the most promising parameters for damage identification algorithms. Numerous publications describe methods of damage identification based on the analysis of signals reflected from damage. They also include complicated signal processing techniques. Such methods work well for damage localisation, but it is rather difficult to use them in order to estimate the size of damage. It is natural that propagating wave reflects from any structural discontinuity. The bigger the disturbance the bigger part of a propagating wave reflects from it. The amount of energy reflected and transmitted through any discontinuity can expressed as reflection and transmission coefficients. In the literature different application for these coefficients may be found – the most often cited application is connected with localising changes in the geometry of structures. Changes in the coefficients due to cross section variations in rods and beams or due to existence of stiffeners in plates are well documented. However there are no application of using the reflection and transmission coefficients for damage size identification. For this reason the analysis presented in this paper has been carried out. The article presents a method of damage identification in 1D elements based on the wave propagation phenomenon and changes in reflection and transmission coefficients. The changes in transmission and reflection coefficients for waves propagating in isotropic rods with different types of damage have been analysed. The rods have been modelled with the elementary, two and three mode theories or rods. For numerical modelling the Spectral Finite Element Method has been used. Several examples are given in the paper.

scholarly journals Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Soner Alpdoğan ◽  
Ali Havare
Keyword(s):  
Bound States ◽  
Dirac Particle ◽  
Saxon Potential ◽  
One Dimensional ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Transmission Resonances ◽  
The One ◽  
Dependent Mass ◽  
Position Dependent Mass

The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.

Boundary conditions for a fluid‐saturated porous solid

Geophysics ◽  
1987 ◽  
Vol 52 (2) ◽  
pp. 174-178 ◽  
Author(s):  
Oscar M. Lovera
Keyword(s):  
Boundary Conditions ◽  
Total Energy ◽  
Elastic Medium ◽  
Contact Surface ◽  
Normal Component ◽  
Porous Solid ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Contact Surfaces ◽  
Transmission And Reflection

Using Biot’s theory, a set of boundary conditions is presented for wave transmission and reflection at the contact surface between an elastic medium (fluid or solid) and a fluid‐saturated porous solid (Biot medium). The analysis shows the continuity of the normal component of the density energy flux vectors across the contact surfaces, so that total energy is preserved. Energy reflection and transmission coefficients are computed for each kind of Biot wave.

scholarly journals Interaction acoustic waves with a layered structure containing layer of bubbly liquid

2018 ◽  
Vol 148 ◽  
pp. 15006
Author(s):  
Damir Gubaidullin ◽  
Anatolii Nikiforov
Keyword(s):  
Acoustic Waves ◽  
Theoretical Study ◽  
Bubbly Liquid ◽  
Air Bubbles ◽  
Angle Of Incidence ◽  
Natural Oscillations ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Gel Layer ◽  
Transmission And Reflection

The results of a theoretical study of the effect of a bubble layer on the propagation of acoustic waves through a thin three-layered barrier at various angles of incidence are presented. The barrier consists of a layer of gel with polydisperse air bubbles bounded by layers of polycarbonate. It is shown that the presence of polydisperse air bubbles in the gel layer significantly changes the transmission and reflection of the acoustic signal when it interacts with such an obstacle for frequencies close to the resonant frequency of natural oscillations of the bubbles. The frequency range is identified where the angle of incidence has little effect on the reflection and transmission coefficients of acoustic waves.

Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Jianyou Guo ◽  
Yi Yu ◽  
Shaowei Jin
Keyword(s):  
Hypergeometric Functions ◽  
Matching Condition ◽  
Dirac Particle ◽  
Hulthén Potential ◽  
Transmission Resonance ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Hulthen Potential ◽  
Scattering States

AbstractWe have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.

scholarly journals Y-Shaped Demultiplexer Photonic Circuits Based on Detuned Stubs: Application to Radiofrequency Domain

Photonics ◽  
2021 ◽  
Vol 8 (9) ◽  
pp. 386
Author(s):  
Abdelkader Mouadili ◽  
Soufyane Khattou ◽  
Madiha Amrani ◽  
El Houssaine El Boudouti ◽  
Noureddine Fettouhi ◽  
...  
Keyword(s):  
Single Mode ◽  
Geometrical Parameters ◽  
Output Line ◽  
Quality Factors ◽  
Continuum States ◽  
Frequency Selection ◽  
Transmission And Reflection Coefficients ◽  
Different Types ◽  
Induced Transparency ◽  
Transmission And Reflection

We present a theoretical and experimental study of photonic demultiplexers based on detuned stubs. The demultiplexers consist of Y-shaped structures with one input line and two output lines. Two different types of structures are proposed to achieve a selective transfer of a single mode in one output line without disturbing the second one. (i) In the first platform each output contains two different stubs attached at two different sites (U-shaped resonators). We derive in closed form the geometrical parameters of the stubs to achieve a selected frequency in each line while keeping the other line unaffected. The frequency selection can be made on the basis of two different mechanisms, namely a Fano or an electromagnetic induced transparency (EIT) resonance. Consequently, different demultiplexing schemes can be designed by a combination of the two mechanisms, such as Fano-Fano, Fano-EIT or EIT-EIT. In particular, the width of the Fano or EIT resonances can become zero for an appropriate choice of the stubs’ lengths, giving rise to trapped modes also called bound in continuum states (BICs) with infinite quality factors. We also show that the crosstalk between the two outputs can reach minimum values around −45 dB. (ii) In the second platform, each output line contains a photonic comb with a defect stub. The latter is appropriately designed to filter one or a few frequencies in the bandgap of the photonic comb. The analytical calculations are performed with the help of the Green’s function method which enables us to derive the transmission and reflection coefficients as well as the density of states (DOS). These results are confirmed by experimental measurements using coaxial cables in the radio frequency domain.

SCATTERING STATES OF HULTHÉN INTERACTION IN MINIMAL LENGTH QUANTUM MECHANICS

2013 ◽  
Vol 28 (12) ◽  
pp. 1350041 ◽  
Author(s):  
H. HASSANABADI ◽  
S. ZARRINKAMAR ◽  
E. MAGHSOODI
Keyword(s):  
Quantum Mechanics ◽  
Schrödinger Equation ◽  
Effective Potential ◽  
Schrodinger Equation ◽  
Minimal Length ◽  
Reflection Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Vector Interaction ◽  
Transmission And Reflection

We first revisit the nonrelativistic minimal length quantum mechanics and reveal an interesting symmetry of the problem. In fact, we will show that the cumbersome problem can be cast into the ordinary Schrödinger equation with a new effective potential. Next, as a typical example, we show the minimal length Schrödinger equation in the presence of a nonminimal Hulthén vector interaction. The transmission and reflection coefficients are reported as well.

scholarly journals Scattering State of Klein-Gordon Particles by q-Parameter Hyperbolic Poschl-Teller Potential

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Akpan Ndem Ikot ◽  
Hillary P. Obong ◽  
Israel O. Owate ◽  
Michael C. Onyeaju ◽  
Hassan Hassanabadi
Keyword(s):  
Bound States ◽  
Hypergeometric Functions ◽  
Energy Equation ◽  
Bound State ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Scattering State ◽  
Klein Gordon ◽  
The One

The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in detail the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions.

Amplitudes of horizontally refracted Love waves

1974 ◽  
Vol 64 (3-1) ◽  
pp. 535-553 ◽  
Author(s):  
S. Gregersen ◽  
L. E. Alsop
Keyword(s):  
San Francisco ◽  
Love Wave ◽  
Normal Incidence ◽  
Small Computer ◽  
Angle Of Incidence ◽  
Ocean Bottom ◽  
Transmission Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Plane Sv Waves ◽  
Transmission And Reflection

abstract Love-wave transmission and reflection are studied numerically for a vertical interface between two layered models. By a new method of approximation, the transmission and reflection coefficients can be computed for propagation directions differing from normal incidence. We consider the Love mode as a superposition of propagating plane SH waves in a surface layer and an inhomogeneous plane SH wave falling off with depth in the half-space below. The method is based on satisfying all boundary conditions on the vertical interface and computing the coupling between the interface stress displacement pattern and the transmitted/reflected Love modes. The computations are done rapidly on a small computer. The transmission coefficients change rapidly with period. For propagation from ocean to continent, they increase with decreasing periods in the interval 60 to 20 sec. The opposite trend is found for propagation from continent to ocean. The amplitude transmission coefficient curves show almost no dependence on the angle of incidence except for large angles. The fine structure of the curves is similar to that for plane SV waves incident on an interface between two homogeneous elastic media. Love-wave amplitude observations at OBS on the ocean bottom northwest of San Francisco and at BKS in Berkeley also show these trends as a function of period and of angle of incidence.

On the Propagation of Alfvén Waves in Certain Rotational Symmetric Magnetic Fields*

1963 ◽  
Vol 18 (6) ◽  
pp. 701-705
Author(s):  
F. Winterberg
Keyword(s):  
Magnetic Fields ◽  
Field Strength ◽  
Born Approximation ◽  
Bound States ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Reflection Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Special Cases ◽  
Transmission And Reflection

The general results of previous work 1, 2 are applied to the propagation of ALFVÉN waves in certain rotational symmetric magnetic fields. It is shown that for finite field strength no bound states of such waves exist. The transmission and reflection coefficients are calculated for a certain class of simple fields.In some special cases the problem can be solved rigorously, in other cases it is convenient to apply BORN approximation.

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