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Reflectionless potential

WebDec 1, 2007 · 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 … WebWe consider an optical fiber with nanoscale variation of the effective fiber radius supporting whispering gallery modes slowly propagating along the fiber, and reveal that the radius …

Reflectionless and almost Reflectionless Potentials. - NASA/ADS

WebMay 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 … WebJan 17, 2007 · For the sine-Gordon L-operator, we use dressing chains to construct reflectionless potentials that are self-similar with respect to Darboux transformations. These potentials have an infinite spectrum arranged in a geometric progression. We use numerical methods to show that these potentials have a localized form with modulated … rainbow blue maskot value https://voicecoach4u.com

Optical reflectionless potentials for broadband, omnidirectional ...

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 … WebDec 1, 1998 · Comparisons with scattering by the square well and by a series of reflectionless potentials are also presented. Possible applications of the Sech-squared as … 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 … havupuu-uutetabletti

PPT – Reflectionless Potentials in One Dimension PowerPoint ...

Category:All-angle reflectionless negative refraction with ideal photonic …

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Reflectionless potential

Reflectionless eigenstates of the sech2 potential: American …

WebApr 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. Webwhere V is the following reflectionless potential (Gaveau and Schulman 1986, Crandall and Litt 1983): h' 2pz V=-- 2m cosh'px' (7) Reflectionless potentials have been treated in detail in the literature. It is known that there exists exactly one symmetric, reflectionless potential for a given finite set of

Reflectionless potential

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WebAbstract Analytic reflectionless potentials 2 () are constructed for the one-dimensional equation 2d2q/d2+2 ()q=0. Unlike generic potentials which reflect waves with amplitudes … WebAug 17, 2024 · Reflectionless potentials for classical or matter waves represent an important class of scatteringless systems encountered in different areas of physics. Here …

WebWe consider an optical fiber with nanoscale variation of the effective fiber radius supporting whispering gallery modes slowly propagating along the fiber, and reveal that the radius variation can be designed to suppor… WebSep 14, 2005 · Reflectionless potentials for classical or matter waves represent an important class of scatteringless systems encountered in different areas of physics.

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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:

WebNov 20, 2007 · We show that in this reflectionless case the solutions of Schrödinger’s equation can be expressed in terms of elementary functions. Wave packets can be … rainau stauseeWebApr 30, 2015 · Abstract the class of generalized reflectionless Schrödinger operators was introduced by Lundina in 1985. Marchenko worked out a useful parametrization of these … havupuu uutejuoma puuiloWebJul 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 … havupuu uutejuoma ja verisuonet