Scattering of a Gaussian wave packet by a reflectionless potential

Kiriushcheva, N.; Kuzmin, Sergey Yu.

doi:10.1119/1.18985

Cited by 36 publications

(30 citation statements)

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“…This leads to the large n terms in (12) approaching the corresponding terms in (8). In practice, this simplifies SM.…”

Section: Resultsmentioning

confidence: 99%

“…This means that SM can be used to analyze g(r,s), since it is the spectral measure function associated with R(k). This means that g(r,s) can be represented by: (8) Putting this into the integrand of (7) yields: (9) which gives: (10) Again applying (8) yields: (11) Or:…”

Section: Regionally Reflectionless Potentialsmentioning

confidence: 99%

“…A case of particular interest is that of reflectionless potentials [5][6][7][8]. These are cases where the reflection coefficient is zero but the potential is non-zero.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Characteristics of regionally reflectionless potentials

Kincanon

2015

IJAMR

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This paper considers potentials that are reflectionless for a range of energies and not reflectionless elsewhere. The focus of this paper is to see if reflection coefficients of this type have characteristics that would make it possible to solve for the associated potentials using known methods. Using the Gelfand-Levitan equation it is shown that the spectral measure function has several limits that match well to known solved cases. Thus, it seems that pursuing cases of potentials of this type is reasonable.

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“…This leads to the large n terms in (12) approaching the corresponding terms in (8). In practice, this simplifies SM.…”

Section: Resultsmentioning

confidence: 99%

Section: Regionally Reflectionless Potentialsmentioning

confidence: 99%

See 1 more Smart Citation

Characteristics of regionally reflectionless potentials

Kincanon

2015

IJAMR

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“…Inhomogeneous dielectric stratified media (both continuous and discrete) have been explored to this end [4][5][6]. Complex dielectric profiles have also been studied [7,8].…”

Section: Introductionmentioning

confidence: 99%

Consequences of nonreciprocity in reflection from a truncated spatial Kramers–Kronig medium

Saha¹,

Sai²,

Ghosh³

et al. 2017

J. Opt.

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Abstract. We study the truncated Kramers-Kronig (KK) medium to reveal the effects of nonreciprocity in reflection on the scattering and the wave guiding properties. We focus on the simplest possible spatial profile mimicking the dielectric response. We show that a finite slab of KK medium can support only one sided null scattering under bidirectional identical illumination. However, for a phase lag between the two incident beams it is possible to have null scattering on the other side. This is shown to be a consequence of the nonreciprocity in reflection due to the inherent asymmetry of the KK medium. We further look at the possibility of surface modes for unidirectional illumination. For specific range of parameters, we show the existence of TM polarized surface plasmons only for illumination from one side. The origin of such modes is traced to the inhomogeneous metal like layer with negative real part of the permittivity in the KK medium.

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“…We remark thatH ↑,↓ describes essentially a free particle in the Pöschl-Teller potential, which is known to be reflectionless for certain parameters. In the reflectionless case however, a transmitted wave still acquires a phase which has consequences on a wave packet passing such a potential: it narrows and is ahead in time as compared to a freely moving wave-packet 26 . For optical systems, these potentials have been realized recently using arrays of evanescently coupled waveguides 27 .…”

Section: Supersymmetrymentioning

confidence: 99%

Reflectionless transport of surface Dirac fermions on topological insulators with induced ferromagnetic domain walls

Wickles

Belzig

2012

Phys. Rev. B

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The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the domain wall resistance and the spectrum for an extended generic domain wall with in-plane and out-of-plane magnetizations. In the latter case, we find oscillations in the domain wall resistance as a function of the wall width and for certain widths a complete absence of reflections for all incoming momenta. The surprising occurrence of oscillations and the reflectionless potentials can be related to a supersymmetry of the surface Dirac Hamiltonian combined with the domain wall profile.

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Scattering of a Gaussian wave packet by a reflectionless potential

Cited by 36 publications

References 0 publications

Characteristics of regionally reflectionless potentials

Characteristics of regionally reflectionless potentials

Consequences of nonreciprocity in reflection from a truncated spatial Kramers–Kronig medium

Reflectionless transport of surface Dirac fermions on topological insulators with induced ferromagnetic domain walls

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