Magnonic Goos–Hänchen Effect Induced by 1D Solitons

Laliena, Víctor; Campo, Javier

doi:10.1002/aelm.202100782

Cited by 9 publications

(9 citation statements)

References 58 publications

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“…Spin waves are also scattered by magnetic solitons like domain walls [33], skyrmions [34] or one dimensional chiral solitons [35], producing effects that could also be useful to control the spin waves. For instance, the scattering by a one dimensional soliton causes a lateral shift of the propagation direction of the scattered waves analogous to the Goos-Hänchen displacement [35]. It has been proposed that the scattering by domain walls can be used for spin wave interferometry [36] or as a spin wave valve [37].…”

Section: Introductionmentioning

confidence: 99%

Scattering of spin waves by a Bloch domain wall: Effect of the dipolar interaction

Laliena

Athanasopoulos²,

Campo

2022

Phys. Rev. B

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It is known that a Bloch domain wall in an anisotropic ferromagnet is transparent to spin waves. This result is derived by approximating the dipolar interaction between magnetic moments by an effective anisotropy interaction. In this paper we study the the scattering of spin waves by a domain wall taking into account the full complexity of the dipolar interaction, treating it perturbatively in the distorted wave Born approximation. Due to the peculiarities of the dipolar interaction, the implementation of this approximation is not straightforward. The difficulties are circumvented here by realizing that the contribution of the dipolar interaction to the spin wave operator can be split into two terms: i) an operator that commutes with the spin wave operator in absence of dipolar interaction, and ii) a local operator suitable to be treated as a perturbation in the distorted wave Born approximation. We analyze the scattering parameters obtained within this approach. It turns out that the reflection coefficient does not vanish in general, and that the transmitted waves suffer a lateral shift which is of order one (not infinitesimal) even at nearly normal incidence. This lateral shift can be greatly enhanced by making the spin wave go through an array of well separated domain walls. The outgoing spin wave will not be appreciably attenuated by the scattering at the domain walls since the transmission coefficient is very close to one at nearly normal incidence. This effect may be very useful to control the spin waves in magnonic devices.

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Section: Introductionmentioning

confidence: 99%

Scattering of spin waves by a Bloch domain wall: Effect of the dipolar interaction

Laliena

Athanasopoulos²,

Campo

2022

Phys. Rev. B

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“…Clearly, by symmetry the shift at normal incidence should vanish in the case of a 360 o wall, and indeed it has been shown that it does vanish in the case of the chiral soliton of monoaxial helimagnets 35 . But symmetry is absent in the case of the 180 o domain wall considered here, since the spin wave propagates between two domains with opposite magnetizations.…”

Section: A the X → ∞ Asymptoticsmentioning

confidence: 95%

Scattering of spin waves by a Bloch domain wall: effect of the dipolar interaction

Laliena,

Athanasopoulos,

Campo

2022

Preprint

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It is known that a Bloch domain wall in an anisotropic ferromagnet is transparent to spin waves. This result is derived by approximating the dipolar interaction between magnetic moments by an effective anisotropy interaction. In this paper we study the the scattering of spin waves by a domain wall taking into account the full complexity of the dipolar interaction, treating it perturbatively in the distorted wave Born approximation. Due to the peculiarities of the dipolar interaction, the implementation of this approximation is not straightforward. The difficulties are circumvented here by realizing that the contribution of the dipolar interaction to the spin wave operator can be split into two terms: i) an operator that commutes with the spin wave operator in absence of dipolar interaction, and ii) a local operator suitable to be treated as a perturbation in the distorted wave Born approximaton. We analyze the scattering parameters obtained within this approach. It turns out that the reflection coefficient does not vanish in general, and that the transmitted waves suffer a lateral shift even at normal incidence. This lateral shift can be greatlty enhanced by making the spin wave go through an array of well separated domain walls. The outgoing spin wave will no be attenuated by the scattering at the domain walls since the reflection coefficient vanishes at normal incidence. This effect may be very useful to control the spin waves in magnonic devices.

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“…We will discuss this in further quantitative detail in what follows below. It is interesting to note here that the Goos-Hänchen effect (GHE) has been recently encountered not only in the context of solitary waves interacting with external potentials but also of linear waves interacting with solitary ones [34].…”

Section: B Goos-hänchen Shifts Of Reflection Upon Potential Wallsmentioning

confidence: 99%

Solitary wave billiards

Cuevas-Maraver¹,

Kevrekidis²,

Zhang³

2022

Preprint

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In the present work we introduce the concept of solitary wave billiards. I.e., instead of a point particle, we consider a solitary wave in an enclosed region and explore its collision with the boundaries and the resulting trajectories in cases which for particle billiards are known to be integrable and for cases that are known to be chaotic. A principal conclusion is that solitary wave billiards are generically found to be chaotic even in cases where the classical particle billiards are integrable. However, the degree of resulting chaoticity depends on the particle speed and on the properties of the potential. Furthermore, the nature of the scattering of the deformable solitary wave particle is elucidated on the basis of a negative Goos-Hänchen effect which, in addition to a trajectory shift, also results in an effective shrinkage of the billiard domain.

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Magnonic Goos–Hänchen Effect Induced by 1D Solitons

Cited by 9 publications

References 58 publications

Scattering of spin waves by a Bloch domain wall: Effect of the dipolar interaction

Scattering of spin waves by a Bloch domain wall: Effect of the dipolar interaction

Scattering of spin waves by a Bloch domain wall: effect of the dipolar interaction

Solitary wave billiards

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