2010
DOI: 10.1016/j.ssc.2010.10.009
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Band gaps in the terahertz frequency range in quasiperiodic one-dimensional magnonic crystals

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Cited by 15 publications
(13 citation statements)
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“…Note that this sequence is classified as Pisot-Vijayaraghavan (PV), when we take the negative eigenvalue of the substitution matrix 36 , i e., σ − = 1 − √ 2, with |σ − | ≤ 1. On other hand, differently of the Fibonacci case, the ratio τ between the number of building blocks A and building blocks B is different of the positive eigenvalue σ + = 1 + √ 2, as usually is found in the Fibonacci generalizations 25,37 . Although several theoretical techniques have been used to study the transmission spectra in these structures, like spectral analysis 38 , in the present work we make use of the transfer-matrix approach to analyze them (for a review see Ref.…”
Section: Theoretical Model: Octonacci Sequence and Transfer-matrix Mementioning
confidence: 91%
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“…Note that this sequence is classified as Pisot-Vijayaraghavan (PV), when we take the negative eigenvalue of the substitution matrix 36 , i e., σ − = 1 − √ 2, with |σ − | ≤ 1. On other hand, differently of the Fibonacci case, the ratio τ between the number of building blocks A and building blocks B is different of the positive eigenvalue σ + = 1 + √ 2, as usually is found in the Fibonacci generalizations 25,37 . Although several theoretical techniques have been used to study the transmission spectra in these structures, like spectral analysis 38 , in the present work we make use of the transfer-matrix approach to analyze them (for a review see Ref.…”
Section: Theoretical Model: Octonacci Sequence and Transfer-matrix Mementioning
confidence: 91%
“…Note that this sequence is classified as Pisot-Vijayaraghavan (PV), when we take the negative eigenvalue of the substitution matrix 36 , i e., σ − = 1 − √ 2, with |σ − | ≤ 1. On other hand, differently of the Fibonacci case, the ratio τ between the number of building blocks A and building blocks B is different of the positive eigenvalue σ + = 1 + √ 2, as usually is found in the Fibonacci generalizations 25,37 .…”
Section: Theoretical Model: Octonacci Sequence and Transfer-matrix Me...mentioning
confidence: 91%
See 1 more Smart Citation
“…For spin waves of longer wavelength, the same magnonic crystal will represent an effectively continuous medium with properties defined not only by those of the constituent magnetic materials but also details of the geometrical and micromagnetic structure. Magnonic crystals therefore represent a class of metamaterials, often referred to as "magnonic metamaterials", [73][74][75][76][77][78] which also includes systems that are not periodic, such as magnonic quasi-crystals [79][80][81][82][83][84][85] and (when considered from the point of view of their dynamic properties) magnetic composites. [86][87][88][89][90][91][92][93] The nature of the interlayer magnetization boundary conditions has crucial consequences for the scattering of spin waves from interfaces between regions with different magnetic properties.…”
Section: Introductionmentioning
confidence: 99%
“…, which is a characteristic of the Fibonacci generalized sequences [23][24][25]. This sequence is generally confused with the Pell Sequence, or the Fibonacci Silver mean generalization.…”
Section: Theoretical Model: Octonacci Superlatticementioning
confidence: 99%