Magnon band structure of periodic composites

Vasseur, J. O.; Dobrzyński, L.; Djafari‐Rouhani, Bahram; Puszkarski, H.

doi:10.1103/physrevb.54.1043

Cited by 206 publications

(168 citation statements)

References 20 publications

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“…(5) we get or, equivalently, We now introduce the notion of an e]fective surface parameter, defined as follows: so that Eq. (7b) becomes Thus, the effective surface parameter can take only values that are eigenvalues of the preceding eigenproblem (9). Significantly, the set (9) does not involve the variable z, so that the spectrum of eigerivalues of the surface parameters is in -d e p e n d e n t of the "position" of the surface and is completely determined by the composite structure of the surface expressed alone by the transforms α(G -C').…”

Section: The Notion Of An Elfective Surface Parametermentioning

confidence: 99%

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Treatment of the Periodically Inhomogeneous Surface: Multiple Boundary Condition

Puszkarski

Krawczyk

2000

Acta Phys. Pol. A

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We deal with the following question: how can the composite nature of a boundary condition formulated for a periodically inhomogeneous surface and involving the composite surface parameter, be treated analytically? We show that when the appropriate Fourier transformation is applied, the composite boundary condition reduces to a specilic eigenproblem condition, which constitutes the spectrum of eigenvalues of an "effective" surface parameter, a novel quantity we introduced to account for the nonhomogeneity of the surface.

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Section: The Notion Of An Elfective Surface Parametermentioning

confidence: 99%

“…Recent years witnessed considerable interest in the study of properties of composite materials like photonic [1][2][3], phononic [4][5][6][7][8] or magnonic [9][10][11] crystals. Some of these materials consist of periodic lattice composed of identical parallel rods disposed in a homogeneous inedium.…”

Section: Introductionmentioning

confidence: 99%

Treatment of the Periodically Inhomogeneous Surface: Multiple Boundary Condition

Puszkarski

Krawczyk

2000

Acta Phys. Pol. A

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“…It did not take long before photonic crystals aroused interest in the analogous studies in other systems as well; we refer to the ones allowing, for example, elastic/acoustic waves 5 , and spin waves 6 . The composite sytems exhibiting complete or pseudogaps, within which the respective waves are forbidden, are useful both from the practical and fundamental point of view.…”

Section: Introductionmentioning

confidence: 99%

Band-gap engineering in two-dimensional periodic photonic crystals

Kushwaha

Djafari‐Rouhani

2000

Journal of Applied Physics

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A theoretical investigation is made of the dispersion characteristics of plasmons in a twodimensional periodic system of semiconductor (dielectric) cylinders embedded in a dielectric (semiconductor) background. We consider both square and hexagonal arrangements and calculate extensive band structures for plasmons using a plane-wave method within the framework of a local theory. It is found that such a system of semiconductor-dielectric composite can give rise to huge full band gaps (with a gap to midgap ratio ≈ 2) within which plasmon propagation is forbidden. The most interesting aspect of this investigation is the huge lowest gap occurring below a threshold frequency and extending up to zero. The maximum magnitude of this gap is defined by the plasmon frequency of the inclusions or the background as the case may be. In general we find that greater the dielectric (and plasmon frequency) mismatch, the larger this lowest band-gap. Whether or not some higher energy gaps appear, the lowest gap is always seen to exist over the whole range of filling fraction in both geometries. Just like photonic and phononic band-gap crystals, semiconducting band-gap crystals should have important consequences for designing useful semiconductor devices in solid state plasmas.

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“…[1] we propose a new (in our opinion more realistic) definition of the exchange field acting in inhomogeneous medium. The effective field is defined as follows:…”

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confidence: 99%

“…It should be noted that the exchange field in the paper [1] by Vasseur et al had been defined in the form while the classical expression for the exchange field in homogeneous medium is of the well known form…”

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confidence: 99%

Magnonic Spectra of Ferromagnetic Composites Versus Magnetization Contrast

Krawczyk

Puszkarski

1998

Acta Phys. Pol. A

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It had been shown recently that the calculated mαgnonic spectra of two-dimensional periodic ferromagnetic composites can present frequency ranges forbidden for the propagation of magnon excitations throughout the composite. However, those forbidden energy gaps were found to be highly sensitive to the exchange contrast between the component ferromagnetic materials but were very weakly sensitive to the contrast in spontaneous magnetizations of the two materials. Accordingly, in this paper we introduce a r.ew mathematical definition of the exchange field acting in inhomogeneous medium. With this new definition the present theory gives magnonic spectra reasonably sensitive to magnetization contrast, as they should be from the physical viewpoint; moreover, the magnetization contrast now becomes a gap-creating factor as well.PACS numbers: 75.50.GgWe consider a periodic structure composed of infinitely long cylinders made of a ferromagnetic material Α embedded in a ferromagnetic matrix B. The cylinders are assumed parallel to the x3-axis of Cartesian coordinates leading to the existence of a two-dimensional periodic square lattice in the (e 1 , x 2 )-plane (Fig. 1a). The composite is acted on in the x 3 -direction by a static magnetic field H0 ; the magnetization of the two materials Α and B are parallel to H0 . The lattice constant is denoted by α; the filling fraction f is defined as the ratio of the area of the cross-section of a cylinder and that of the two-dimensional elementary cell. The ferromagnetic materials A and B are characterized by two quantities: their spontaneous magnetizations MsA and MSB , and their exchange constants ΑΑ and ΑΒ, both dependent on the position vector x = (x 1 , x2) lying in the plane perpendicular to the axis of the cylinders (whereas all these four quantities are homogeneous in the g3-direction:

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Magnon band structure of periodic composites

Cited by 206 publications

References 20 publications

Treatment of the Periodically Inhomogeneous Surface: Multiple Boundary Condition

Treatment of the Periodically Inhomogeneous Surface: Multiple Boundary Condition

Band-gap engineering in two-dimensional periodic photonic crystals

Magnonic Spectra of Ferromagnetic Composites Versus Magnetization Contrast

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