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Journal articles on the topic 'Linear dispersion'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Reinsch, Matthias. "Dispersion‐free linear chains." American Journal of Physics 62, no. 3 (1994): 271–78. http://dx.doi.org/10.1119/1.17612.

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2

Greiter, Martin. "On the linear dispersion–linear potential quantum oscillator." Annals of Physics 325, no. 7 (2010): 1349–58. http://dx.doi.org/10.1016/j.aop.2010.02.010.

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3

SI, Jing-Jing, Bo-Jin ZHUANG, and An-Ni CAI. "Strict Linear Dispersion Network Code." Journal of Software 23, no. 3 (2012): 688–99. http://dx.doi.org/10.3724/sp.j.1001.2012.03963.

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4

Cranston, Mike, Michael Scheutzow, and David Steinsaltz. "Linear bounds for stochastic dispersion." Annals of Probability 28, no. 4 (2000): 1852–69. http://dx.doi.org/10.1214/aop/1019160510.

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5

Soskin, S. M., and D. G. Luchinsky. "Zero-dispersion non-linear resonance." Il Nuovo Cimento D 17, no. 7-8 (1995): 915–24. http://dx.doi.org/10.1007/bf02451849.

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6

Runge, Antoine F. J., Y. Long Qiang, Tristram J. Alexander, and C. Martijn de Sterke. "Linear pulse propagation with high-order dispersion." Journal of Optics 24, no. 11 (2022): 115502. http://dx.doi.org/10.1088/2040-8986/ac9633.

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Abstract We present an approximate, but intuitively appealing theoretical study of the linear propagation of optical pulses in media with high-order dispersion. Our analysis, which is fully consistent with numerical simulations, is based on the pulses’ full-width at half maximum and shows that the effect of high-order dispersion differs significantly from that of the well-understood second order dispersion. For high dispersion orders m, the central part of the pulses, where the intensity is highest, evolve in the same way, independent of m, though at different rates, with a weak dependence on

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7

Liu, Genhua, and Xuan Lei. "Semi-Dirac and Dirac-node-arc phases in a (112) oriented Cd₃As₂ film." Journal of Applied Physics 132, no. 22 (2022): 224304. http://dx.doi.org/10.1063/5.0127309.

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We investigate the electronic structure and spin-dependent densities of low-energy electron states in a (112) oriented Cd[Formula: see text]As[Formula: see text] film. We find that the thick Cd[Formula: see text]As[Formula: see text] film is a semi-Dirac material whose dispersion is linear (massless) in one direction and is quadratic (massive) in the orthogonal direction. Its spin-up and spin-down densities corresponding to linear dispersion, respectively, distribute at the top and bottom surface of the film, exhibiting the chirality of Dirac electrons, while the ones corresponding to quadrati

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8

DENG, D., J. k. ZHU, and L. QIU. "Linear Dispersion Codes with Limited Feedback." IEICE Transactions on Communications E90-B, no. 7 (2007): 1876–79. http://dx.doi.org/10.1093/ietcom/e90-b.7.1876.

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9

Wu, Jinsong, and Steven D. Blostein. "Rectangular information lossless linear dispersion codes." IEEE Transactions on Wireless Communications 9, no. 2 (2010): 517–22. http://dx.doi.org/10.1109/twc.2010.02.090065.

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10

Kim, Hye-Young, Milton W. Cole, Flavio Toigo, and David Nicholson. "Dispersion interaction between adsorbed linear molecules." Surface Science 198, no. 3 (1988): 555–70. http://dx.doi.org/10.1016/0039-6028(88)90384-6.

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11

Smyth, Gordon K. "Generalized Linear Models with Varying Dispersion." Journal of the Royal Statistical Society: Series B (Methodological) 51, no. 1 (1989): 47–60. http://dx.doi.org/10.1111/j.2517-6161.1989.tb01747.x.

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12

Bakhanov, V. V., S. N. Vlasov, and E. V. Koposova. "Modulation-self-focusing instability of gravity-capillary waves in a wide range of angles and frequencies." Fundamental and Applied Hydrophysics 18, no. 1 (2025): 41–52. https://doi.org/10.59887/2073-6673.2025.18(1)-4.

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The theory of instability of gravity-capillary waves on the surface of a liquid taking into account linear and nonlinear dispersions is presented. Theoretical research is carried out on the basis of the use of an integrodiffrence operator to describe the linear dispersion of waves. Increments of instability are found. It is shown that the use of an integrodiffrence operator to describe the gravity wave linear dispersion without taking into account their nonlinear dispersion leads to the instability region limitation compared to the case of using the nonlinear Schrödinger equation, but does not

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13

Albornoz-Palma, Gregory, Daniel Ching, Andrea Andrade, Sergio Henríquez-Gallegos, Regis Teixeira Mendonça, and Miguel Pereira. "Relationships between Size Distribution, Morphological Characteristics, and Viscosity of Cellulose Nanofibril Dispersions." Polymers 14, no. 18 (2022): 3843. http://dx.doi.org/10.3390/polym14183843.

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Rheological parameters of cellulose nanofibril dispersions (CNF) are relevant and commonly used as quality control for producing of this type of material. These parameters are affected by morphological features and size distribution of the nanofibrils. Understanding the effect of size distribution is essential for analyzing the rheological properties, viscosity control, performance of CNFs, and potential dispersion applications. This study aims at comprehending how the morphological characteristics of the CNFs and their size distribution affect the rheological behavior of dispersions. The CNF

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14

Rajpoot, Manoj K. "Dispersion analysis of Robert–Asselin type filters for linear non-dispersive and dispersive systems." Computers & Fluids 130 (May 2016): 49–83. http://dx.doi.org/10.1016/j.compfluid.2016.02.011.

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15

Zhugzhda, Y. D. "Linear Waves in Force-Free Fibrils." International Astronomical Union Colloquium 167 (1998): 155–58. http://dx.doi.org/10.1017/s0252921100047503.

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AbstractThe advanced thin flux tube approximation for force-free thin magnetic flux tubes is used to derive a dispersion relation for linear waves. All wave modes appear to be coupled in a twisted flux tube. In the case of a weakly twisted flux tube, it has been found that torsional Alfvén waves have dispersion and produce pressure and temperature fluctuations. The effect of tube rotation is pointed out. These properties of linear waves have an impact on prominence oscillations.

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16

Zhang, Yong, Ying-bo Hu, You-yun Xu, and Yue-ming Cai. "Distributed Linear Dispersion Codes in Cooperative Communication." Journal of Electronics & Information Technology 30, no. 6 (2011): 1390–93. http://dx.doi.org/10.3724/sp.j.1146.2006.01876.

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17

ZHANG Jian, 张建, 高劲松 GAO Jin-song, and 李玉东 LI Yu-dong. "Linear variable filter with high dispersion coefficient." Optics and Precision Engineering 23, no. 5 (2015): 1221–24. http://dx.doi.org/10.3788/ope.20152305.1221.

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18

Wittsten, Jens, Erik F. M. Koene, Fredrik Andersson, and Johan O. A. Robertsson. "Removing numerical dispersion from linear evolution equations." Pure and Applied Analysis 3, no. 2 (2021): 253–93. http://dx.doi.org/10.2140/paa.2021.3.253.

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19

Ren, Haijun, Zhengwei Wu, and Paul K. Chu. "Dispersion of linear waves in quantum plasmas." Physics of Plasmas 14, no. 6 (2007): 062102. http://dx.doi.org/10.1063/1.2738848.

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20

Barchiesi, E., M. Laudato, and F. Di Cosmo. "Wave dispersion in non-linear pantographic beams." Mechanics Research Communications 94 (December 2018): 128–32. http://dx.doi.org/10.1016/j.mechrescom.2018.11.002.

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21

Wang, Wenjin, Fu-Chun Zheng, Alister Burr, and Michael Fitch. "Design of Delay-Tolerant Linear Dispersion Codes." IEEE Transactions on Communications 60, no. 9 (2012): 2560–70. http://dx.doi.org/10.1109/tcomm.2012.070912.110362.

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22

Jensen, D. R. "Structured dispersion and validity in linear inference." Linear Algebra and its Applications 249, no. 1-3 (1996): 189–96. http://dx.doi.org/10.1016/0024-3795(95)00354-1.

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23

Andriambololona, Raoelina, Ravo Tokiniaina Ranaivoson, Randriamisy Hasimbola Damo Emile, and Hanitriarivo Rakotoson. "Dispersion Operators Algebra and Linear Canonical Transformations." International Journal of Theoretical Physics 56, no. 4 (2017): 1258–73. http://dx.doi.org/10.1007/s10773-016-3268-4.

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24

Aghaei, Amirhossein, Konstantinos Plataniotis, and Subbarayan Pasupathy. "Widely linear MMSE receivers for linear dispersion space-time block-codes." IEEE Transactions on Wireless Communications 9, no. 1 (2010): 8–13. http://dx.doi.org/10.1109/twc.2010.01.080897.

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25

Cheung, James Asikin, and Wei Khim Ng. "Constraining Non-linear Dirac Equations with Neutrino Oscillations." EPJ Web of Conferences 206 (2019): 09010. http://dx.doi.org/10.1051/epjconf/201920609010.

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Considering the phenomenological studies of non-linear quantum models, we use an axiomatic approach to modify the Dirac Lagrangian. We apply constraints such as Hermiticity, locality, universality, etc to obtain various generic modified energy dispersion relations. After-which, we use the parameters from the neutrino oscillations to obtain bounds on these new modified dispersion relations.

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26

Zhang, Xiaolong, Zhenying Xu, and Qing Yang. "Wave Dispersion and Propagation in Linear Peridynamic Media." Shock and Vibration 2019 (June 9, 2019): 1–9. http://dx.doi.org/10.1155/2019/9528978.

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We detail the linear peridynamic wave equation with a nonlocal integral form based on the linear peridynamic and dynamic theory. Wave dispersion in an infinite maraging steel material is obtained by analyzing the linear peridynamic wave equation. The dispersion curves, group velocity, phase velocity, and other wave parameters of the shear and longitudinal waves in an infinite media are obtained using numerical methods. We obtained the optimal calculation parameters by analyzing the weight function, horizon, mesh size, and other numerical calculation parameters on the dispersion curve. We simul

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27

Martins, Kévin, Philippe Bonneton, Olivier de Viron, Ian Turner, Mitchell Harley, and Kristen Splinter. "NON-LINEAR DISPERSION EFFECTS IN NEARSHORE WAVES: PERSPECTIVES FOR DEPTH-INVERSION APPLICATIONS." Coastal Engineering Proceedings, no. 37 (September 1, 2023): 1. http://dx.doi.org/10.9753/icce.v37.currents.1.

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Remote-sensing technology, combined with depth-inversion algorithms, presents a promising opportunity to quantify the morphological evolution of sandy beaches during storms. Current depth-inversion algorithms such as cBathy rely on the linear wave dispersion relation to invert depth from remotely-sensed dispersion properties. In the surf zone, however, non-linear amplitude dispersion effects become important and significant deviations from the linear dispersion are expected (Martins et al., 2021). Optical imagery also suffers from other technical limitations when dealing with breaking waves (e

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28

Alfaro Vigo, Daniel G., Saulo P. Oliveira, Ailín Ruiz de Zárate, and André Nachbin. "Fully discrete stability and dispersion analysis for a linear dispersive internal wave model." Computational and Applied Mathematics 33, no. 1 (2013): 203–21. http://dx.doi.org/10.1007/s40314-013-0056-0.

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29

Khelil, K., K. Saouchi, and D. Bahloul. "Effect of Fourth-Order Dispersion on Solitonic Interactions." Ukrainian Journal of Physics 65, no. 5 (2020): 378. http://dx.doi.org/10.15407/ujpe65.5.378.

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Solitons became important in optical communication systems thanks to their robust nature. However, the interaction of solitons is considered as a bad effect. To avoid interactions, the obvious solution is to respect the temporal separation between two adjacent solitons determined as a bit rate. Nevertheless, many better solutions exist to decrease the bit rate error. In this context, the aim of our work is to study the possibility to delete the interaction of adjacent solitons, by using a special dispersion management system, precisely by introducing both of the third- and fourth-order dispers

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30

Gkaravela, Aikaterini, Ioanna Vareli, Dimitrios G. Bekas, Nektaria-Marianthi Barkoula, and Alkiviadis S. Paipetis. "The Use of Electrochemical Impedance Spectroscopy as a Tool for the In-Situ Monitoring and Characterization of Carbon Nanotube Aqueous Dispersions." Nanomaterials 12, no. 24 (2022): 4427. http://dx.doi.org/10.3390/nano12244427.

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So far, there is no validated technology for characterizing the dispersion and morphology state of carbon nanotubes (CNTs) aqueous dispersions during sonication. Taking advantage of the conductive nature of CNTs, the main hypothesis of the current study is that Electrochemical Impedance Spectroscopy (EIS) is an appropriate technique for the in-situ monitoring and qualification of the dispersion state of CNTs in aqueous media. To confirm our hypothesis, we monitored the Impedance |Z| during the sonication process as a function of type CNTs/admixtures used for the preparation of the aqueous solu

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31

Li, Yu, and Wei Liu. "Study on an Adaptive Distributed Linear Dispersion Code." Applied Mechanics and Materials 416-417 (September 2013): 1633–38. http://dx.doi.org/10.4028/www.scientific.net/amm.416-417.1633.

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An adaptive distributed linear dispersion code is proposed in this article. In the first place, each relay code selects modulation type adaptively according to channel capacity. Then the candidate dispersion matrixes are selected based on the channel state weight. Finally the best transmission scheme is selected according to the system information rate and reliability. Simulation results show that the proposed adaptive coding scheme gives a more good performance.

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32

Otsuka, Jiro, Toshiharu Tanaka, and Ikuro Masuda. "Sub-Nanometer Positioning Combining New Linear Motor with Linear Motion Ball Guide Ways." International Journal of Automation Technology 3, no. 3 (2009): 241–48. http://dx.doi.org/10.20965/ijat.2009.p0241.

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A new type of linear motor described in this paper has some advantages compared with the usual types of motors. The attractive magnetic force between the stator (permanent magnets) and mover (armature) is diminished almost to zero. The efficiency is better because the magnetic flux leakage is very small, the size of motor is smaller and detent (force ripple) is smaller than the general motors. Therefore, we think that this motor is greatly suitable for ultra-precision positioning as an actuator. An ultra-precision positioning device using this motor and liner motion ball guide ways is newly de

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33

M., S. Azwan Ramli, and Shukri Z. A. M. "Statistical Technique in Gas Dispersion Modeling Based on Linear Interpolation." TELKOMNIKA Telecommunication, Computing, Electronics and Control 15, no. 2 (2017): 733–38. https://doi.org/10.12928/TELKOMNIKA.v15i2.6109.

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In this paper, we introduced statistical techniques in creating a gas dispersion model in an indoor with a controlled environment. The temperature, air-wind and humidity were constant throughout the experiment. The collected data were then treated as an image; which the pixel size is similar to the total data available for x and y axis. To predict the neighborhood value, linear interpolation technique was implemented. The result of the experiment is significantly applicable in extending the total amount of data if small data is available.

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34

André, Mats. "Dispersion surfaces." Journal of Plasma Physics 33, no. 1 (1985): 1–19. http://dx.doi.org/10.1017/s0022377800002270.

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The dispersion relation of linear waves in a non-relativistic, collisionless and homogeneous magnetized plasma is solved by numerical methods. Both electrostatic and electromagnetic waves with frequencies from below the ion gyrofrequency to above the electron gyrofrequency are studied for all angles of propagation. Modes occurring in a cold plasma as well as waves dependent on thermal effects are included. Dispersion surfaces, that is plots of frequency versus wave vector components, are presented for some plasma models. This presentation shows all interesting waves clearly and reveals how dif

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35

Klein, Kristopher G., Gregory G. Howes, and Collin R. Brown. "PLUME: Plasma in a Linear Uniform Magnetized Environment." Research Notes of the AAS 9, no. 4 (2025): 102. https://doi.org/10.3847/2515-5172/add1c2.

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Abstract Characterizing waves in collisionless or weakly collisional magnetized plasmas is an essential task for quantifying a wide variety of physical processes in space and astrophysical systems. The linearized Vlasov–Maxwell system of equations is typically an accurate model for such characterization, and many numerical methods for solving the Vlasov–Maxwell dispersion relation derived from those equations have been implemented. The Plasma in a Linear Uniform Magnetized Environment (PLUME) code follows the derivation of the linear Vlasov–Maxwell dispersion relation presented in Chapter 10 o

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36

LAZARUS, I. J., R. BHARUTHRAM, S. V. SINGH, S. R. PILLAY, and G. S. LAKHINA. "Linear electrostatic waves in two-temperature electron–positron plasmas." Journal of Plasma Physics 78, no. 6 (2012): 621–28. http://dx.doi.org/10.1017/s0022377812000451.

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AbstractLinear electrostatic waves in a magnetized four-component, two-temperature electron–positron plasma are investigated, with the hot species having the Boltzmann density distribution and the dynamics of cooler species governed by fluid equations with finite temperatures. A linear dispersion relation for electrostatic waves is derived for the model and analyzed for different wave modes. Analysis of the dispersion relation for perpendicular wave propagation yields a cyclotron mode with contributions from both cooler and hot species, which in the absence of hot species goes over to the uppe

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37

Demirer, Riza, Rangan Gupta, Zhihui Lv, and Wing-Keung Wong. "Equity Return Dispersion and Stock Market Volatility: Evidence from Multivariate Linear and Nonlinear Causality Tests." Sustainability 11, no. 2 (2019): 351. http://dx.doi.org/10.3390/su11020351.

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We employ bivariate and multivariate nonlinear causality tests to document causality from equity return dispersion to stock market volatility and excess returns, even after controlling for the state of the economy. Expansionary (contractionary) market states are associated with a low (high) level of equity return dispersion, indicating asymmetries in the relationship between return dispersion and economic conditions. Our findings indicate that both return dispersion and business conditions are valid joint forecasters of stock market volatility and excess returns and that return dispersion poss

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38

Zhu, Jun. "Dispersion Relation of Linear Waves in Quantum Magnetoplasmas." Plasma Science and Technology 18, no. 7 (2016): 703–7. http://dx.doi.org/10.1088/1009-0630/18/7/01.

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39

Choyal, Y., and K. Minami. "An exact linear dispersion relation for CRM instability." Plasma Physics and Controlled Fusion 53, no. 8 (2011): 085002. http://dx.doi.org/10.1088/0741-3335/53/8/085002.

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40

Vandas, Marek, and Petr Hellinger. "Linear dispersion properties of ring velocity distribution functions." Physics of Plasmas 22, no. 6 (2015): 062107. http://dx.doi.org/10.1063/1.4922073.

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41

Smirnov, A. V. "Wakefield and wave propagation at non-linear dispersion." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 489, no. 1-3 (2002): 75–84. http://dx.doi.org/10.1016/s0168-9002(02)00901-4.

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42

Che Lin and V. V. Veeravalli. "Optimal linear dispersion codes for correlated MIMO channels." IEEE Transactions on Wireless Communications 7, no. 2 (2008): 657–66. http://dx.doi.org/10.1109/twc.2008.060606.

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43

Filipič, Cene, Vid Bobnar, Joachim Hemberger, Zdravko Kutnjak, Adrijan Levstik, and Alois Loidl. "Non-linear dielectric dispersion in PMN relaxor system." Journal of Non-Crystalline Solids 305, no. 1-3 (2002): 393–97. http://dx.doi.org/10.1016/s0022-3093(02)01118-3.

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44

Mecozzi, Antonio. "Theory of polarization mode dispersion with linear birefringence." Optics Letters 33, no. 12 (2008): 1315. http://dx.doi.org/10.1364/ol.33.001315.

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45

Zhao, Yuanying, Dengke Xu, Xingde Duan, and Yicheng Pang. "Bayesian Subset Selection for Reproductive Dispersion Linear Models." Journal of Systems Science and Information 2, no. 1 (2014): 77–85. http://dx.doi.org/10.1515/jssi-2014-0077.

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AbstractWe propose a full Bayesian subset selection method for reproductive dispersion linear models, which bases on expanding the usual link function to a function that incorporates all possible subsets of predictors by adding indictors as parameters. The vector of indicator variables dictates which predictors to delete. An efficient MCMC procedure that combining Gibbs sampler and Metropolis-Hastings algorithm is presented to approximate the posterior distribution of the indicator variables. The promising subsets of predictors can be identified as those with higher posterior probability. Seve

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46

Sandeep, K., Shikha Gaur, D. Dutta, and H. S. Kushwaha. "Wavelet based schemes for linear advection–dispersion equation." Applied Mathematics and Computation 218, no. 7 (2011): 3786–98. http://dx.doi.org/10.1016/j.amc.2011.09.023.

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47

Deng, Dan, Xingzai Lv, and Jinkang Zhu. "Linear-Dispersion Division Multiple-Access for MIMO systems." Journal of Electronics (China) 25, no. 4 (2008): 433–38. http://dx.doi.org/10.1007/s11767-007-0038-8.

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48

Bietenholz, W. "Could the photon dispersion relation be non-linear?" Fortschritte der Physik 57, no. 5-7 (2009): 505–13. http://dx.doi.org/10.1002/prop.200900021.

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49

Glazunova, A. M., and I. N. Kolosok. "Influence of the weight coefficients of measurements on the consistency of the assessment and calculation results of the power supply system steady-state operation conditions." Proceedings of Irkutsk State Technical University 25, no. 2 (2021): 172–82. http://dx.doi.org/10.21285/1814-3520-2021-2-172-182.

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The aim of this work is to develop an improved procedure for assessing the state of power supply systems based on adjusting the weight coefficients of measurements. To this end, non-linear optimisation methods were used. The control equations and the solution of the simultaneous linear equations were performed using the Crout method. The results of the calculation of the electrical power steady-state mode were considered as a reference. The lower the difference between the evaluation and steady-state calculation results, the higher the accuracy of the overall state assessment procedure. The pr

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50

Wang, Lu Yun. "The electronic transport properties of parabolic topological edge states." New Journal of Physics 27, no. 1 (2025): 013022. https://doi.org/10.1088/1367-2630/ada797.

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Abstract The broadly studied topological edge states in two-dimensional materials are usually of a linear dispersion relation. However, the transport of non-Dirac topological edge states is rarely studied. Here, we report the finding of topological edge states with a parabolic dispersion. The topological nature of the states is supported by spatial wave function, Chern number calculation and the quantized linear conductance. The parabolic dispersion aspect of the edge states can be verified via a double-barrier junction which acts as a Fabry–Perot interferometer. For the parabolic dispersion e

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