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Статті в журналах з теми "Quasiperiodic media"

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Автор: Grafiati

Опубліковано: 1 червня 2024

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1

Kohmoto, Mahito, Bill Sutherland, and K. Iguchi. "Localization of optics: Quasiperiodic media." Physical Review Letters 58, no. 23 (June 8, 1987): 2436–38. http://dx.doi.org/10.1103/physrevlett.58.2436.

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2

Schwartz, Ira B., Ioana Triandaf, Joseph M. Starobin, and Yuri B. Chernyak. "Origin of quasiperiodic dynamics in excitable media." Physical Review E 61, no. 6 (June 1, 2000): 7208–11. http://dx.doi.org/10.1103/physreve.61.7208.

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3

Gupta, S. Dutta, and Deb Shankar Ray. "Localization problem in optics: Nonlinear quasiperiodic media." Physical Review B 41, no. 12 (April 15, 1990): 8047–53. http://dx.doi.org/10.1103/physrevb.41.8047.

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4

Chernikov, A. A., and A. V. Rogalsky. "Stochastic webs and continuum percolation in quasiperiodic media." Chaos: An Interdisciplinary Journal of Nonlinear Science 4, no. 1 (March 1994): 35–46. http://dx.doi.org/10.1063/1.166055.

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5

Golden, K., S. Goldstein, and J. L. Lebowitz. "Discontinuous behavior of effective transport coefficients in quasiperiodic media." Journal of Statistical Physics 58, no. 3-4 (February 1990): 669–84. http://dx.doi.org/10.1007/bf01112770.

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6

Badalyan, V. D. "Propagation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 49, no. 4 (October 2006): 538–42. http://dx.doi.org/10.1007/s10511-006-0052-9.

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7

Sedrakian, D. M., A. A. Gevorgyan, A. Zh Khachatrian, and V. D. Badalyan. "Dissipation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 50, no. 1 (January 2007): 87–93. http://dx.doi.org/10.1007/s10511-007-0010-1.

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8

Salat, A. "Localization of modes in media with a simple quasiperiodic modulation." Physical Review A 45, no. 2 (January 1, 1992): 1116–21. http://dx.doi.org/10.1103/physreva.45.1116.

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9

Gorelik, Vladimir, Dongxue Bi, Natalia Klimova, Svetlana Pichkurenko, and Vladimir Filatov. "The electromagnetic field distribution in the 1D layered quasiperiodic dispersive media." Journal of Physics: Conference Series 1348 (December 2019): 012060. http://dx.doi.org/10.1088/1742-6596/1348/1/012060.

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10

Mathieu-Potvin, François. "The method of quasiperiodic fields for diffusion in periodic porous media." Chemical Engineering Journal 304 (November 2016): 1045–63. http://dx.doi.org/10.1016/j.cej.2016.06.045.

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11

Mangababu, A., Dipanjan Banerjee, Kanaka Ravi Kumar, R. Sai Prasad Goud, Venugopal Rao Soma, and S. V. S. Nageswara Rao. "Comparative study of GaAs nanostructures synthesized in air and distilled water by picosecond pulsed laser ablation and application in hazardous molecules detection." Journal of Laser Applications 34, no. 3 (August 2022): 032014. http://dx.doi.org/10.2351/7.0000750.

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This work explored the fundamental differences/mechanisms between the GaAs substrates ablated in two different media of air and distilled water (DW). A scan area of 5 × 5 mm2 was ablated by a picosecond laser with a pulse duration of 30 ps, a repetition rate of 10 Hz, a wavelength of 1064 nm, and a pulse energy of 2 mJ. The spacing between raster scan lines was varied (0.05–0.35 mm), keeping the scan speed (0.15 mm/s) constant. The obtained GaAs nanostructures (NSs) were thoroughly analyzed using microscopy techniques. A clear increase in separation between the raster scan lines was observed with an increase in the scan spacing for the GaAs NSs fabricated in air, whereas the same result was not observed in DW. Moreover, structures with debris were formed in air irrespective of the spacing, unlike the formation of uniform quasiperiodic GaAs NSs throughout the sample in the case of DW ablation. To the best of our knowledge, there are no reports on the detailed studies involving DW in the fabrication of quasiperiodic NSs of GaAs. Further, these quasiperiodic GaAs NSs formed in DW were coated with a thin layer of gold using the thermal evaporation method, annealed at 400 °C for 1 h in an ambient atmosphere. As a consequence of annealing, Au NPs were uniformly decorated on the quasiperiodic NSs of GaAs imparting plasmonic nature to the whole structures. Subsequently, the Au NPs decorated GaAs NSs were utilized as surface enhanced Raman scattering substrates for the detection of methylene blue (dye molecule) and Thiram (pesticide molecule) at low concentrations.

12

McKenna, Mark J., P. S. Spoor, R. L. Stanley, Elaine Dimasi, and J. D. Maynard. "Experiments on linear and nonlinear wave propagation in random and quasiperiodic media." Journal of the Acoustical Society of America 87, S1 (May 1990): S113. http://dx.doi.org/10.1121/1.2027850.

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13

Danylenko, V. A., V. V. Sorokina, and V. A. Vladimirov. "On the governing equations in relaxing media models and self-similar quasiperiodic solutions." Journal of Physics A: Mathematical and General 26, no. 23 (December 7, 1993): 7125–35. http://dx.doi.org/10.1088/0305-4470/26/23/047.

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14

Kohmoto, Mahito. "Localization problem and mapping of one-dimensional wave equations in random and quasiperiodic media." Physical Review B 34, no. 8 (October 15, 1986): 5043–47. http://dx.doi.org/10.1103/physrevb.34.5043.

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15

Wang, Bingxian, Chuanzhi Bai, M. Xu, and L. P. Zhang. "The Method Based on Series Solution for Identifying an Unknown Source Coefficient on the Temperature Field in the Quasiperiodic Media." International Journal of Differential Equations 2021 (December 22, 2021): 1–8. http://dx.doi.org/10.1155/2021/2893299.

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In this paper, we consider the reconstruction of heat field in one-dimensional quasiperiodic media with an unknown source from the interior measurement. The innovation of this paper is solving the inverse problem by means of two different homotopy iteration processes. The first kind of homotopy iteration process is not convergent. For the second kind of homotopy iteration process, a convergent result is proved. Based on the uniqueness of this inverse problem and convergence results of the second kind of homotopy iteration process with exact data, the results of two numerical examples show that the proposed method is efficient, and the error of the inversion solution r t is given.

16

Duerinckx, Mitia, Antoine Gloria, and Christopher Shirley. "Approximate Normal Forms via Floquet–Bloch Theory: Nehorošev Stability for Linear Waves in Quasiperiodic Media." Communications in Mathematical Physics 383, no. 2 (March 26, 2021): 633–83. http://dx.doi.org/10.1007/s00220-021-03966-7.

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17

Mathieu-Potvin, François. "The method of quasiperiodic fields for thermal conduction in periodic heterogeneous media: A theoretical analysis." International Journal of Thermal Sciences 120 (October 2017): 400–426. http://dx.doi.org/10.1016/j.ijthermalsci.2017.05.020.

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18

Mahalakshmi, V., Jolly Jose, and S. Dutta Gupta. "Linear periodic and quasiperiodic anisotropic layered media with arbitrary orientation of optic axis—A numerical study." Pramana 46, no. 6 (June 1996): 389–401. http://dx.doi.org/10.1007/bf02852265.

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19

KINOUCHI, OSAME, and MARCELO H. R. TRAGTENBERG. "MODELING NEURONS BY SIMPLE MAPS." International Journal of Bifurcation and Chaos 06, no. 12a (December 1996): 2343–60. http://dx.doi.org/10.1142/s0218127496001508.

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We introduce a simple generalization of graded response formal neurons which presents very complex behavior. Phase diagrams in full parameter space are given, showing regions with fixed points, periodic, quasiperiodic and chaotic behavior. These diagrams also represent the possible time series learnable by the simplest feed-forward network, a two input single-layer perceptron. This simple formal neuron (‘dynamical perceptron’) behaves as an excitable ele ment with characteristics very similar to those appearing in more complicated neuron models like FitzHugh-Nagumo and Hodgkin-Huxley systems: natural threshold for action potentials, dampened subthreshold oscillations, rebound response, repetitive firing under constant input, nerve blocking effect etc. We also introduce an ‘adaptive dynamical perceptron’ as a simple model of a bursting neuron of Rose-Hindmarsh type. We show that networks of such elements are interesting models which lie at the interface of neural networks, coupled map lattices, excitable media and self-organized criticality studies.

20

Nasybullin, A. R., O. G. Morozov, G. A. Morozov, R. V. Farkhutdinov, P. V. Gavrilov, and I. A. Makarov. "Means for monitoring the dielectric parameters of liquid media based on quasiperiodic Bragg microwave structures in a coaxial waveguide." Journal of Physics: Conference Series 1499 (March 2020): 012015. http://dx.doi.org/10.1088/1742-6596/1499/1/012015.

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21

Davit, Yohan, and Michel Quintard. "Technical Notes on Volume Averaging in Porous Media I: How to Choose a Spatial Averaging Operator for Periodic and Quasiperiodic Structures." Transport in Porous Media 119, no. 3 (July 27, 2017): 555–84. http://dx.doi.org/10.1007/s11242-017-0899-8.

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22

Malomed, Boris A. "Past and Present Trends in the Development of the Pattern-Formation Theory: Domain Walls and Quasicrystals." Physics 3, no. 4 (November 10, 2021): 1015–45. http://dx.doi.org/10.3390/physics3040064.

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A condensed review is presented for two basic topics in the theory of pattern formation in nonlinear dissipative media: (i) domain walls (DWs, alias grain boundaries), which appear as transient layers between different states occupying semi-infinite regions, and (ii) two- and three-dimensional (2D and 3D) quasiperiodic (QP) patterns, which are built as a superposition of plane–wave modes with incommensurate spatial periodicities. These topics are selected for the present review, dedicated to the 70th birthday of Professor Michael I. Tribelsky, due to the impact made on them by papers of Prof. Tribelsky and his coauthors. Although some findings revealed in those works may now seem “old”, they keep their significance as fundamentally important results in the theory of nonlinear DW and QP patterns. Adding to the findings revealed in the original papers by M.I. Tribelsky et al., the present review also reports several new analytical results, obtained as exact solutions to systems of coupled real Ginzburg–Landau (GL) equations. These are a new solution for symmetric DWs in the bimodal system including linear mixing between its components; a solution for a strongly asymmetric DWs in the case when the diffusion (second-derivative) term is present only in one GL equation; a solution for a system of three real GL equations, for the symmetric DW with a trapped bright soliton in the third component; and an exact solution for DWs between counter-propagating waves governed by the GL equations with group-velocity terms. The significance of the “old” and new results, collected in this review, is enhanced by the fact that the systems of coupled equations for two- and multicomponent order parameters, addressed in this review, apply equally well to modeling thermal convection, multimode light propagation in nonlinear optics, and binary Bose–Einstein condensates.

23

SIVAJI GANESH, SISTA, and VIVEK TEWARY. "Bloch wave homogenisation of quasiperiodic media." European Journal of Applied Mathematics, October 5, 2020, 1–21. http://dx.doi.org/10.1017/s0956792520000352.

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Quasiperiodic media is a class of almost periodic media which is generated from periodic media through a ‘cut and project’ procedure. Quasiperiodic media displays some extraordinary optical, electronic and conductivity properties which call for the development of methods to analyse their microstructures and effective behaviour. In this paper, we develop the method of Bloch wave homogenisation for quasiperiodic media. Bloch waves are typically defined through a direct integral decomposition of periodic operators. A suitable direct integral decomposition is not available for almost periodic operators. To remedy this, we lift a quasiperiodic operator to a degenerate periodic operator in higher dimensions. Approximate Bloch waves are obtained for a regularised version of the degenerate operator. Homogenised coefficients for quasiperiodic media are obtained from the first Bloch eigenvalue of the regularised operator in the limit of regularisation parameter going to zero. A notion of quasiperiodic Bloch transform is defined and employed to obtain homogenisation limit for an equation with highly oscillating quasiperiodic coefficients.

24

Wang, K. "Light wave states in two-dimensional quasiperiodic media." Physical Review B 73, no. 23 (June 27, 2006). http://dx.doi.org/10.1103/physrevb.73.235122.

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25

Nicholls, David P., Carlos Pérez-Arancibia, and Catalin Turc. "Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media." Journal of Scientific Computing 82, no. 2 (February 2020). http://dx.doi.org/10.1007/s10915-020-01133-z.

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26

Paul Viator, Robert, Robert Lipton, Silvia Jimenez-Bolanos, and Abiti Adili. "Bloch waves in high contrast electromagnetic crystals." ESAIM: Mathematical Modelling and Numerical Analysis, May 6, 2022. http://dx.doi.org/10.1051/m2an/2022045.

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Анотація:

Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielectric contrast inclusions. Central to this approach is the identifcation and utilization of a resonance spectrum for quasiperiodic source-free modes. These modes are used to represent solution operators associated with electromagnetic and acoustic waves inside periodic high contrast media. A convergent power series for the Bloch wave spectrum is recovered from the representation formulas. Explicit conditions on the contrast are found that provide lower bounds on the convergence radius. These conditions are sufficient for the separation of spectral branches of the dispersion relation for any fixed quasi-momentum.

27

Wang, Kang. "Structural effects on light wave behavior in quasiperiodic regular and decagonal Penrose-tiling dielectric media: A comparative study." Physical Review B 76, no. 8 (August 6, 2007). http://dx.doi.org/10.1103/physrevb.76.085107.

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