Goos–Hänchen Shift of a Spin-Wave Beam at the Interface Between Two Ferromagnets

Mailyan, M.; Gruszecki, Paweł; Gorobets, Oksana; Krawczyk, Maciej

doi:10.1109/tmag.2017.2696581

Cited by 10 publications

(5 citation statements)

References 23 publications

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“…The eigenstates of Ω 0 are obtained by substituting ψ in ( 19) by e ikp•rp φ B (x) or by e ikp•rp φ kx (x). The closure relation (27) ensures that Ω 0 has the spectral representation…”

Section: Spin Wave Operator In Presence Of a Domain Wallmentioning

confidence: 99%

“…One tool to control the spin waves is the scattering (reflection and transmission) at artificially created interfaces, or at artificial magnetic patterns. This scattering induces interesting effects like Goos-Hänchen displacements [24][25][26][27][28][29][30], the Hartman effect [31] and the Talbot effect [32], which could be used to manipulate the spin wave.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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: Spin Wave Operator In Presence Of a Domain Wallmentioning

confidence: 99%

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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show abstract

“…Recently, the Goos-Hänchen effect for spin waves has been theoretically studied at interfaces that separate different magnetic media. [55][56][57][58][59][60][61] Experimental evidence of the effect at the edge of a Permalloy film has been reported by Stigloher et al [62] To our knowledge, the kind of Goos-Hänchen effect predicted here, induced by a magnetic modulation instead of an interface, has not been considered before.…”

Section: Spin Wave Scattering and The Goos-hänchen Effectmentioning

confidence: 60%

Magnonic Goos–Hänchen Effect Induced by 1D Solitons

Laliena

Campo

2021

Adv Elect Materials

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the chiral solitons of monoaxial helimagnets. These solitonic states appear easily in chiral magnets, characterized by the presence of an important Dzyaloshinskii-Moriya interaction (DMI). Domain walls and their magnonics, with and without DMI, are being extensively studied. [4][5][6][7][8][9][10][11][12] Comparatively, monoaxial helimagnets, in which the DMI acts only along one axis (the DMI axis), have received much less attention, although many experimental and theoretical results concerning their equilibrium [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] and dynamical [32][33][34][35][36][37][38][39][40][41][42][43][44] properties have been obtained.

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“…This very interesting effect is analogous to the well known Goos-Hänchen effect of optics [35], in which a light beam reflected at the interface of two different media suffers a lateral displacement given by an expression similar to the above ∆x. Recently, the Goos-Hänchen effect for spin waves has been theoretically studied at interfaces that separate different magnetic media [36][37][38][39][40][41][42], and experimental evidence of the effect at the edge of a Permalloy film has been reported [43]. To our knowledge, the kind of Goos-Hänchen effect predicted here, induced by a magnetic modulation instead of an interface, has not been considered before.…”

mentioning

confidence: 74%

Magnonic Goos-Hanchen effect induced by one dimensional solitons

Laliena,

Campo

2020

Preprint

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The magnon spectral problem is solved in terms of the spectrum of a diagonalizable operator for a generic class of magnetic states that includes several types of domain walls and the chiral solitons of monoaxial helimagnets. Focusing on the isolated solitons of monoaxial helimagnets, it is shown that the spin waves scattered (reflected and transmitted) by the soliton suffer a lateral displacement analogous to the Goos-Hänchen effect of optics. The displacement is a fraction of the wavelength, but can be greatly enhanced by using an array of well separated solitons. Contrarily to the Goos-Hänchen effect recently studied in some magnetic systems, which takes place at interfaces between different magnetic systems, the effect predicted here takes place at the soliton position, what it is interesting from the point of view of applications since solitons can be created at different places and moved across the material. This kind of Goos-Hänchen effect is not particular of monoaxial helimagnets, but it is generic of a class of magnetic states, including domain walls in systems with interfacial Dzyaloshinskii-Moriya interaction.

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Goos–Hänchen Shift of a Spin-Wave Beam at the Interface Between Two Ferromagnets

Cited by 10 publications

References 23 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

Magnonic Goos–Hänchen Effect Induced by 1D Solitons

Magnonic Goos-Hanchen effect induced by one dimensional solitons

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