Reflectionless potential
WebJun 12, 2014 · As a result, reflectionless waveguides provide a remarkable counterexample to the common expectation that the reflection probability increases with the degree of bending of the waveguide. WebJul 27, 2004 · A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the reflectionless potential on the basis of construction of such a hierarchy by the recurrent …
Reflectionless potential
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WebMar 30, 2024 · scattering through a reflectionless potential well in an optical system. We consider the set up of two input solitons with different intensities scattered by a … WebMar 22, 2024 · In the particular case of the recently introduced class of complex Kramers-Kronig potentials we show that a broad class of time-dependent forces can be applied without inducing any scattering, while there is a breakdown of the reflectionless property when there is a broadband distribution of initial particle momentum, involving both …
http://www.physics.smu.edu/scalise/P6335fa19/notes/ReflectionlessPotential.pdf WebIt has been long known that the Schrödinger equation for a class of potentials of the form , usually referred to as Pöschl–Teller potentials, is exactly solvable. The eigenvalue problem [more] Contributed by: S. M. Blinder (March 2011) Open content licensed under CC BY-NC-SA Snapshots Details References:
WebAn effective algorithm is constructed for the creation of complex structures based an the analysis of phase shift energy dependence. A temporal evolution of electronic states in quantum structures is investigated. A dynamic analog of reflectionless potential is explicitly constructed. 展开 WebMay 13, 2011 · Friedrich Schiller University Jena. We realize experimentally a true reflectionless potential, which facilitates nonresonant unity transmission for all incident waves and at the same time supports ...
WebSep 19, 2024 · Negative refraction, an unnatural optical phenomenon in which the incident and and refracted waves reside on the same side of the face normal, possess have demonstrated with the finding of negative index media based on artificially engineered photonic structures called metamaterials. It has received wide attention due to its …
WebThe problem of the existence of traveling waves in inhomogeneous fluid is very important for enabling an explanation of long-distance wave propagations such as tsunamis and storm waves. The present paper discusses new solutions to the variable-coefficient wave equations describing traveling waves in fluid layers of variable depths (1D shallow-water … mighty knight 2 hacked unblockedWebFeb 26, 2015 · It is well known that the general reflectionless potentials [] in ordinary quantum mechanics (QM for short) can be constructed from the vacuum by repeated application of Darboux transformations in terms of the exponential seed solutions (, ) [2, 3].This fact also explains that the reflectionless potentials are exactly solvable; that is, all … newt rice universityWebMay 12, 2011 · We realize experimentally a true reflectionless potential, which facilitates nonresonant unity transmission for all incident waves and at the same time supports localized modes. We utilize arrays of evanescently coupled optical waveguides, where a particular modulation of the transverse waveguide separations provides a physical … new trickle vent building regsWebJan 25, 2024 · The scattering of bright solitons described by the nonlinear Schrödinger equations with a reflectionless potential has been extensively studied [18, 34,35]. In addition, the unidirectional flow ... mighty knights 2 unblocked no flashWebJul 14, 2014 · Reflectionless potentials (RPs) represent a class of potentials that offer total transmission in the context of one dimensional scattering. An optical realization of RP can … mighty knight unblockedWebDec 10, 2015 · The one-dimensional potential well Vx =− 2 +1 /2ma 2 sech 2 x / a does not reflect waves of any energy when is a positive integer. We show that in this reflectionless case the solutions of ... new trick actorsWebApr 2, 2016 · It is called reflectionless potential because every incident wave has perfect transmission T = 1 "regardless of its energy". I understand for some energies for E < 0 that T = 1. I also understand resonant scattering means at some values of E when E > 0 that T = 1. mighty knight game