Spin-wave Talbot effect in a thin ferromagnetic film

Gołębiewski, Mateusz; Gruszecki, Paweł; Krawczyk, Maciej; Serebryannikov, Andriy E.

doi:10.1103/physrevb.102.134402

Cited by 16 publications

(18 citation statements)

References 47 publications

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“…where n is an integer specifying the number of subsequent self-images, d is a period of the grating, and λ is a wavelength. The theory of the Talbot effect has been described many times for various types of interactions [20], so in this paper, we will limit it only to the general description.…”

Section: Model Description a Self-imagingmentioning

confidence: 99%

“…This phenomenon is extensively studied in recent years for many types of waves [18] and found already applications, for instance to improve x-ray imaging [19]. It has been theoretically demonstrated that this effect can occur also for SWs [20]. However, the conditions of the formation of the SWs' self-images in a thin ferromagnetic multimode waveguide have never been studied.…”

Section: Introductionmentioning

confidence: 99%

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Self-Imaging of Spin Waves in Thin, Multimode Ferromagnetic Waveguides

2022

Self Cite

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Self-imaging of waves is an intriguing and spectacular effect. The phenomenon was first observed for light in 1836 by Henry Fox Talbot and to this day is the subject of research in many areas of physics, for various types of waves and in terms of different applications. This paper is a Talbot-effect study for spin waves in systems composed of a thin, ferromagnetic waveguide with a series of single-mode sources of spin waves flowing into it. The proposed systems are studied with the use of micromagnetic simulations, and the spin wave self-imaging dependencies on many parameters are examined. We formulated conditions required for the formation of self-images and suitable for experimental realization. The results of the research form the basis for the further development of self-imaging-based magnonic devices.

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Section: Model Description a Self-imagingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-Imaging of Spin Waves in Thin, Multimode Ferromagnetic Waveguides

2022

Self Cite

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Section: Introductionmentioning

confidence: 99%

“…[36] The resulting interference pattern is called a Talbot carpet, and we have recently theoretically demonstrated that this effect can also occur for SWs. [37] The properties of Talbot carpets created by SWs strongly depend on material parameters, geometry, type, thickness of a magnetic material, and on dynamic parameters such as wavelength, orientation, and the value of an external magnetic field.Here, we exploit the self-imaging phenomenon occurring in a thin ferromagnetic multimode waveguide with SWs introduced by periodically spaced single-mode input waveguides. SWs entering the multimode waveguide have a controllable phase.…”

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confidence: 99%

Self‐Imaging Based Programmable Spin‐Wave Lookup Tables

Gołębiewski

Gruszecki

Krawczyk

2022

Adv Elect Materials

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oscillations propagating without charge transfer in magnetic materials. [2][3][4][5] This property, combined with a wider range of available frequencies than in electronics and the ability to encode information both in amplitude and phase, makes SWs an important candidate for an information carrier in a new generation of computing devices, where Joule-Lenz heat and other obstacles may be significantly reduced. [6][7][8][9] Magnonic circuits (systems utilizing SWs) [10,11] may consist of waveguides through which SWs propagate, [12][13][14][15] and interference areas at crossings, for example, for creating majority gates. [16][17][18][19][20] The waveguides may also couple with other waveguides [21,22] to implement a logical operation. In this manner, it has been possible to demonstrate a 32-bit magnonic full adder [21] and SWbased approximate 4:2 compressor. [23] Another strategy is to use wide ferromagnetic film areas for SW operation and narrow waveguides as SW inputs. This approach was used to redirect [24][25][26] and process SWs. [27][28][29][30][31][32] Operation of these systems is based on the interference of incoming SWs. Therefore, a local modification of the medium (the magnonic equivalent of the refractive index) in which SWs propagate is crucial to design and optimize its functionality. It was recently shown that it could be achieved by an introduction of defects in so-called inverse design approach, [32] placement of programmable magnetic elements on top of that region, [30] or utilization of noncolinear magnetization textures. [33][34][35] This interference based strategy appears promising also for the realization of physical neural networks operating on SWs. [30,33] Thereby, interference effects open a promising avenue for the development of SWbased beyond-CMOS solutions.A plane wave passing through a system of periodically spaced obstacles (diffraction gratings or holes) interferes, creating a characteristic diffraction pattern in the near field, reproducing the grating image at specific distances from the input apertures. This phenomenon is known as the Talbot or the selfimaging effect, and was observed for light already in the 19th century. [36] The resulting interference pattern is called a Talbot carpet, and we have recently theoretically demonstrated that this effect can also occur for SWs. [37] The properties of Talbot carpets created by SWs strongly depend on material parameters, geometry, type, thickness of a magnetic material, and on dynamic parameters such as wavelength, orientation, and the value of an external magnetic field.Here, we exploit the self-imaging phenomenon occurring in a thin ferromagnetic multimode waveguide with SWs introduced by periodically spaced single-mode input waveguides. SWs entering the multimode waveguide have a controllable phase. In particular, we present a new class of reprogrammable magnonic blocks implementing array indexing operations.Inclusion of spin waves into the computing paradigm, where complementary metal-oxide-semiconductor devices are still at th...

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“…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 Tal-bot effect 32 , which could be used to manipulate the spin wave.…”

Section: Introductionmentioning

confidence: 99%

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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Spin-wave Talbot effect in a thin ferromagnetic film

Cited by 16 publications

References 47 publications

Self-Imaging of Spin Waves in Thin, Multimode Ferromagnetic Waveguides

Self-Imaging of Spin Waves in Thin, Multimode Ferromagnetic Waveguides

Self‐Imaging Based Programmable Spin‐Wave Lookup Tables

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

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