Spectrum of waves in stochastically modulated superlattices

Ignatchenko, V. A.; Mankov, Yu. I.

doi:10.1103/physrevb.56.194

Cited by 21 publications

(36 citation statements)

References 10 publications

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“…10 we consider the consequences of inhomogeneities of material parameters for wave propagation for the example of spin waves in a ferromagnet in which only the value of the magnetic anisotropy ␤ depends on x. Such an anisotropy can be represented in the form…”

Section: Methods Of Calculation: Correlation Functionmentioning

confidence: 99%

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Spectrum of waves in randomly modulated multilayers

1999

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The spectrum and damping of waves in partially randomized multilayer structures are calculated. A method of calculation which was proposed and demonstrated earlier for the model of a superlattice with a harmonic dependence of its material parameters along its axis in the initial state, is extended here to the case of a multilayer structure ͑i.e., a superlattice with sharp interfaces͒. One-and three-dimensional inhomogeneities are considered, and the correlation function of the superlattice is derived. The spectrum and damping of waves in the superlattice described by this correlation function are found in the weak-coupling approximation in the vicinities of all the odd Brillouin zone boundaries. ͓S0163-1829͑99͒14501-6͔

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Section: Methods Of Calculation: Correlation Functionmentioning

confidence: 99%

“…10. The randomization is taken into account by introducing a random modulation u of the superlattice period.…”

Section: ͑4͒mentioning

confidence: 99%

Spectrum of waves in randomly modulated multilayers

1999

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“…͑11͒ the structure function for the case of one-dimensional inhomogeneities obtained in Ref. 15 can be represented in the form…”

Section: ͑5͒mentioning

confidence: 99%

“…15, the method of the random spatial modulation ͑RSM͒ of the period of the superlattice. This method is an extension of the well-known theory of the random frequency ͑phase͒ modulation of a radio signal 16,17 to the case of spatial inhomogeneities in the superlattice.…”

Section: Introductionmentioning

confidence: 99%

“…This method is an extension of the well-known theory of the random frequency ͑phase͒ modulation of a radio signal 16,17 to the case of spatial inhomogeneities in the superlattice. Laws of the dispersion and damping of the averaged spin, elastic, and electromagnetic waves were determined by this method for two models of superlattices: superlattices with an initial sinusoidal dependence of material parameters on a coordinate, 15,18 and superlattices with a dependence in the form of rectangular spatial pulses. 19,20 These models correspond to the two limiting cases of the relation between the thickness of the interfaces d and the period l of the multilayer structure.…”

Section: Introductionmentioning

confidence: 99%

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Effects of one- and three-dimensional inhomogeneities on the wave spectrum of multilayers with finite interface thicknesses

2001

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To describe a partially randomized multilayer structure with arbitrary thicknesses of the interfaces between layers, we introduce a model in which the dependence of a material parameter along the axis of such a superlattice is described by a Jacobian elliptic sine function with a random spatial modulation of its period. Both one-and three-dimensional inhomogeneities of the period are considered. We develop the correlation function for this model, and investigate the dispersion law and damping of averaged waves in this superlattice. The dependencies of the widths of the gaps in the spectrum and the damping at the boundaries of all odd Brillouin zones, on the thicknesses of the interfaces, and on the dimensionality, intensity, and correlation wave number of the inhomogeneities are found. It is shown that experimental investigations of the widths of the gaps and damping for several Brillouin zones could permit, in principle, determining all parameters of the superlattice as well as the parameters of the inhomogeneities from these spectral characteristics.

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Electron Attachment to Molecules of Practical Applications

Krishnakumar

2002

Current Developments in Atomic, Molecular, and Chemical Physics With Applications

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Spectrum of waves in stochastically modulated superlattices

Cited by 21 publications

References 10 publications

Spectrum of waves in randomly modulated multilayers

Spectrum of waves in randomly modulated multilayers

Effects of one- and three-dimensional inhomogeneities on the wave spectrum of multilayers with finite interface thicknesses

Electron Attachment to Molecules of Practical Applications

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