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1

KIM, S. H., R. L. MERLINO, J. K. MEYER, and M. ROSENBERG. "Low-frequency electrostatic waves in a magnetized, current-free, heavy negative ion plasma." Journal of Plasma Physics 79, no. 6 (2013): 1107–11. http://dx.doi.org/10.1017/s0022377813001074.

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AbstractWe report experimental observations of a low-frequency (≪ ion gyrofrequency) electrostatic wave mode in a magnetized cylindrical (Q machine) plasma containing positive ions, very few electrons and a relatively large fraction (n−/ne > 103) of heavy negative ions (m−/m+ ≈ 10), and no magnetic field-aligned current. The waves propagate nearly perpendicular to B with a multiharmonic spectrum. The maximum wave amplitude coincided spatially with the region of largest density gradient suggesting that the waves were excited by a drift instability in a nearly electron-free positive ion–negat
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2

Reutov, V. P., and G. V. Rybushkina. "Dynamical Chaos and Lateral Transport of a Passive Scalar in the Annular Reverse Jet Flow." Nelineinaya Dinamika 17, no. 3 (2021): 263–74. http://dx.doi.org/10.20537/nd210302.

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The transition to dynamical chaos and the related lateral (cross-flow) transport of a passive scalar in the reverse annular jet flow generating two chains of wave-vortex structures are studied. The quasi-geostrophic equations for the barotropic (quasi-two-dimensional) flow written in polar coordinates with allowance for the beta-effect and external friction are solved numerically using a pseudospectral method. The critical parameters of the equilibrium flow with a complex “two-hump” azimuth velocity profile facilitating a faster transition to the complex dynamics are determined. Two regular mu
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3

Ghannouchi, F. M., R. Larose, and R. G. Bosisio. "A new multiharmonic loading method for large-signal microwave and millimeter-wave transistor characterization." IEEE Transactions on Microwave Theory and Techniques 39, no. 6 (1991): 986–92. http://dx.doi.org/10.1109/22.81668.

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4

Sheng, Xueli, Chaoping Dong, Longxiang Guo, and Li Li. "A Bioinspired Twin Inverted Multiscale Matched Filtering Method for Detecting an Underwater Moving Target in a Reverberant Environment." Sensors 19, no. 23 (2019): 5305. http://dx.doi.org/10.3390/s19235305.

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To this day, biological sonar systems still have great performance advantages over artificial sonar systems, especially for detection in environments with clutter, strong reverberation, and a low signal to noise ratio (SNR). Therefore, mammal sonar systems, for instance, bats and toothed whales, have many characteristics worth learning from. This paper proposes a bioinspired twin inverted multiscale matched filtering method to detect underwater moving targets. This method can be mainly divided into three parts. Firstly, a hyperbolic frequency modulation (HFM) continuous wave (CW) multiharmonic
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5

Wang, Hui, Zhengshi Liu, Bin Zhu, and Quanjun Song. "Multiple Harmonics Fitting Algorithms Applied to Periodic Signals Based on Hilbert-Huang Transform." Journal of Sensors 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/580152.

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A new generation of multipurpose measurement equipment is transforming the role of computers in instrumentation. The new features involve mixed devices, such as kinds of sensors, analog-to-digital and digital-to-analog converters, and digital signal processing techniques, that are able to substitute typical discrete instruments like multimeters and analyzers. Signal-processing applications frequently use least-squares (LS) sine-fitting algorithms. Periodic signals may be interpreted as a sum of sine waves with multiple frequencies: the Fourier series. This paper describes a new sine fitting al
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6

Lysenko, A. V., I. I. Volk, G. A. Oleksiienko, and A. Ju Brusnyk. "Formation of Powerful Multiharmonic Electromagnetic Wave by Two Stream Superheterodyne Klystron Free Electron Laser with Helical Electron Beam." Journal of Nano- and Electronic Physics 10, no. 5 (2018): 05002–1. http://dx.doi.org/10.21272/jnep.10(5).05002.

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7

KALTENBACHER, B. "DETERMINATION OF PARAMETERS IN NONLINEAR HYPERBOLIC PDES VIA A MULTIHARMONIC FORMULATION, USED IN PIEZOELECTRIC MATERIAL CHARACTERIZATION." Mathematical Models and Methods in Applied Sciences 16, no. 06 (2006): 869–95. http://dx.doi.org/10.1142/s0218202506001388.

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In this paper we consider the problem of determining material parameter curves that appear as coefficients in nonlinear partial differential equations of hyperbolic type. In order to demonstrate our ideas of an identification method for this class of problems, we consider the model problem of identifying c in the nonlinear wave equation dtt - (c(dx)dx)x = 0 from boundary measurements. Motivated by the fact that in many applications, this inverse problem is naturally posed in frequency domain rather than in time domain, we work in the Fourier transformed setting. Here, nonlinearity can be accou
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8

Reutov, V. P., та G. V. Rybushkina. "Unsteady chains of wave structures and anomalous transport of а passive scalar in a barotropic jet flow". Известия Российской академии наук. Физика атмосферы и океана 55, № 6 (2019): 201–10. http://dx.doi.org/10.31857/s0002-3515556201-210.

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The onset of anomalous transport of a passive scalar at the excitation of unsteady chains of wave structures with closed streamlines in a barotropic jet flow modeling zonal flows in the Earths atmosphere and ocean and in laboratory experiments is investigated. The analysis is performed within a dynamical model describing saturation of the barotropic instability in a plane-parallel channel flow with allowance for the beta-effect and external friction. The equations of a quasi-two-dimensional flow are solved numerically with the aid of a pseudospectral method. It is found that the generation of
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9

Lysenko, A., G. Oleksiienko, and I. Volk. "Longitudinal electrostatic field effect on width of multiharmonic space-charge wave frequency spectrum in two-stream superheterodyne FEL with a helical electron beam." RADIOFIZIKA I ELEKTRONIKA 25, no. 1 (2020): 70–79. http://dx.doi.org/10.15407/rej2020.01.070.

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10

Tatarko, Marek, Sandro Spagnolo, Veronika Oravczová, et al. "Changes of Viscoelastic Properties of Aptamer-Based Sensing Layers Following Interaction with Listeria innocua." Sensors 21, no. 16 (2021): 5585. http://dx.doi.org/10.3390/s21165585.

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A multiharmonic quartz crystal microbalance (QCM) has been applied to study the viscoelastic properties of the aptamer-based sensing layers at the surface of a QCM transducer covered by neutravidin following interaction with bacteria Listeria innocua. Addition of bacteria in the concentration range 5 × 103–106 CFU/mL resulted in a decrease of resonant frequency and in an increase of dissipation. The frequency decrease has been lower than one would expect considering the dimension of the bacteria. This can be caused by lower penetration depth of the acoustics wave (approximately 120 nm) in comp
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11

Hianik, Tibor. "Changes of Viscoelastic Properties of Aptamer-Based Sensing Layers Following Interaction with Listeria innocua." Sensors 21, no. 16 (2021): 5585. https://doi.org/10.3390/s21165585.

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Анотація:
A multiharmonic quartz crystal microbalance (QCM) has been applied to study the viscoelastic properties of the aptamer-based sensing layers at the surface of a QCM transducer covered by neutravidin following interaction with bacteria&nbsp;Listeria innocua.&nbsp;Addition of bacteria in the concentration range 5 &times; 10<sup>3</sup>&ndash;10<sup>6</sup>&nbsp;CFU/mL resulted in a decrease of resonant frequency and in an increase of dissipation. The frequency decrease has been lower than one would expect considering the dimension of the bacteria. This can be caused by lower penetration depth of
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12

Takahashi, Kazue, and Richard E. Denton. "Magnetospheric seismology using multiharmonic toroidal waves observed at geosynchronous orbit." Journal of Geophysical Research: Space Physics 112, A5 (2007): n/a. http://dx.doi.org/10.1029/2006ja011709.

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13

Edgerton, James B., and Jerry H. Ginsberg. "Finite amplitude acoustic waves generated by a baffled, multiharmonic transducer." Journal of the Acoustical Society of America 81, S1 (1987): S25. http://dx.doi.org/10.1121/1.2024158.

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14

Petrović, Predrag B. "Algorithm for Simultaneous Parameter Estimation of A Multiharmonic Signal." Metrology and Measurement Systems 19, no. 4 (2012): 693–702. http://dx.doi.org/10.2478/v10178-012-0061-4.

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Abstract Estimating the fundamental frequency and harmonic parameters is basic for signal modelling in a power supply system. Differing from the existing parameter estimation algorithms either in power quality monitoring or in harmonic compensation, the proposed algorithm enables a simultaneous estimation of the fundamental frequency, the amplitudes and phases of harmonic waves. A pure sinusoid is obtained from an input multiharmonic input signal by finite-impulse-response (FIR) comb filters. Proposed algorithm is based on the use of partial derivatives of the processed signal and the weighted
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15

Kim, Su-Hyun, Robert L. Merlino, and Gurudas I. Ganguli. "Generation of “spiky” potential structures associated with multiharmonic electrostatic ion-cyclotron waves." Physics of Plasmas 13, no. 1 (2006): 012901. http://dx.doi.org/10.1063/1.2148919.

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16

Куліш, В., А. Брусник, and О. Лисенко. "Amplification of multiharmonic space change waves in the system with longitudinal electrostatic undulator." Scientific Herald of Uzhhorod University.Series Physics 30 (December 31, 2011): 326–30. http://dx.doi.org/10.24144/2415-8038.2011.30.326-330.

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17

Lysenko, A. V., and S. S. Ilin. "Multiharmonic Interactions of Longitudinal Waves in Amplification Section of Superheterodyne Free Electron Laser." Journal of Nano- and Electronic Physics 14, no. 5 (2022): 05006–1. http://dx.doi.org/10.21272/jnep.14(5).05006.

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18

Takahashi, Kazue, Colin Waters, Karl-Heinz Glassmeier, Craig A. Kletzing, William S. Kurth, and Charles W. Smith. "Multifrequency compressional magnetic field oscillations and their relation to multiharmonic toroidal mode standing Alfvén waves." Journal of Geophysical Research: Space Physics 120, no. 12 (2015): 10,384–10,403. http://dx.doi.org/10.1002/2015ja021780.

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19

Setter, Eyal, Izhak Bucher, and Shimon Haber. "Propulsion at low Reynolds numbers by multiple traveling waves." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 16 (2014): 2938–49. http://dx.doi.org/10.1177/0954406214523580.

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Microorganisms or micro-robotic swimmers employ traveling waves as a common swimming mechanism involving time-irreversible deformations of their outer surface. Normally, the deforming surfaces constitute of multiple spatial waves, some standing and others propagating forward or backward. A unique technique is developed here to experimentally decompose a waving surface into its spatial wavelengths in each time instance by processing a sequence of photographs. This information is curve fitted to yield the phase velocity, frequency, and amplitudes of the propagating and receding waves of each com
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20

Lysenko, A. V., I. I. Volk, and G. A. Oleksiienko. "Plural Interactions of Waves in Multiharmonic Two-stream Superheterodyne Free-electron Lasers with Helical Electron Beams." Journal of Nano- and Electronic Physics 10, no. 2 (2018): 02014–1. http://dx.doi.org/10.21272/jnep.10(2).02014.

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21

Slapak, R., H. Gunell, and M. Hamrin. "Observations of multiharmonic ion cyclotron waves due to inverse ion cyclotron damping in the northern magnetospheric cusp." Geophysical Research Letters 44, no. 1 (2017): 22–29. http://dx.doi.org/10.1002/2016gl071680.

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22

Kulish, V. V., A. V. Lysenko, and M. Yu Rombovsky. "Effect of parametric resonance on the formation of waves with a broad multiharmonic spectrum during the development of two-stream instability." Plasma Physics Reports 36, no. 7 (2010): 594–600. http://dx.doi.org/10.1134/s1063780x10070068.

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23

Carver, L. R., R. M. Jones, Y. Jiang, and J. L. Hirshfield. "Longitudinal stability in multiharmonic standing wave linacs." Physical Review Accelerators and Beams 19, no. 9 (2016). http://dx.doi.org/10.1103/physrevaccelbeams.19.094001.

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24

Weiß, Matthias, Andreas L. Hörner, Eugenio Zallo, et al. "Multiharmonic Frequency-Chirped Transducers for Surface-Acoustic-Wave Optomechanics." Physical Review Applied 9, no. 1 (2018). http://dx.doi.org/10.1103/physrevapplied.9.014004.

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25

De Rubeis, Beatrice, Massimo Gennaretti, Caterina Poggi, and Giovanni Bernardini. "Sound Scattered by Deforming Bodies Through Boundary Integral Formulations." AIAA Journal, April 7, 2025, 1–14. https://doi.org/10.2514/1.j065258.

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This paper presents a novel methodology for the prediction of sound scattered by deforming bodies of arbitrary shape. It is based on a deformable-boundary integral formulation, which solves an arbitrarily forced acoustic wave equation governing the propagation of perturbations in a fluid medium. Neglecting nonlinear terms, the acoustic field is represented either by acoustic pressure or velocity potential, and determined through time-domain and frequency-domain boundary element method approaches. In particular, a novel frequency-domain solution algorithm is proposed, which is capable of provid
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26

Hastings, Michael G., Paris Panagiotopoulos, Miroslav Kolesik, and Jerome V. Moloney. "Multiharmonic Spanning Nonlinear X -wave: An Asymptotic State of Extreme Long Wave Infrared Dispersive Shock Regularization." Physical Review Letters 132, no. 25 (2024). http://dx.doi.org/10.1103/physrevlett.132.253801.

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27

Fronk, Matthew D., and Michael J. Leamy. "Higher-Order Dispersion, Stability, and Waveform Invariance in Nonlinear Monoatomic and Diatomic Systems." Journal of Vibration and Acoustics 139, no. 5 (2017). http://dx.doi.org/10.1115/1.4036501.

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Recent studies have presented first-order multiple time scale approaches for exploring amplitude-dependent plane-wave dispersion in weakly nonlinear chains and lattices characterized by cubic stiffness. These analyses have yet to assess solution stability, which requires an analysis incorporating damping. Furthermore, due to their first-order dependence, they make an implicit assumption that the cubic stiffness influences dispersion shifts to a greater degree than the quadratic stiffness, and they thus ignore quadratic shifts. This paper addresses these limitations by carrying-out higher-order
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28

Rainer, Benjamin, and Barbara Kaltenbacher. "Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation." ESAIM: Mathematical Modelling and Numerical Analysis, June 27, 2025. https://doi.org/10.1051/m2an/2025059.

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In this paper, we study the nonlinear periodic Westervelt equation with excitations located within a bounded domain in $\mathbb{R}^d$, where $d \in \{2,3\}$, subject to Robin boundary conditions. This problem is of particular interest for advancing imaging techniques that exploit nonlinearity of the acoustic propagation. We establish the existence and uniqueness of solutions in both the linear and the nonlinear setting, thereby allowing for spatially varying coefficients as relevant in quantitative imaging. Derivation of a multiharmonic formulation enables us to show the generation of higher h
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29

Aissa, Mohamed, Ahcène Bouabdallah, and Hamid Oualli. "Radial Deformation Frequency Effect on the Three-Dimensional Flow in the Cylinder Wake." Journal of Fluids Engineering 137, no. 1 (2014). http://dx.doi.org/10.1115/1.4028008.

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In the current paper, the three-dimensional air flow evolution around a circular cylinder is studied. The main aim is to control the flow field upstream and downstream of a circular cylinder by means of radial deformation. Within a particular step, one focuses on the response of the topological structures, which is developing in the cylinder near wake to applied pulsatile motion. Furthermore, a special care is considered to the aerodynamics forces behavior in adjusting the applied controlling strategy. The used controlling frequency range extends from f = 1fn = 17 Hz to f = 6fn = 102.21 Hz, wh
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30

Takahashi, Kazue, Massimo Vellante, Alfredo Del Corpo, et al. "Multiharmonic Toroidal Standing Alfvén Waves in the Midnight Sector Observed During a Geomagnetically Quiet Period." Journal of Geophysical Research: Space Physics 125, no. 3 (2020). http://dx.doi.org/10.1029/2019ja027370.

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31

Lysenko, A. V., O. I. Voroshylo, and S. S. Ilin. "INFLUENCE OF GENERATED PUMP ELECTRIC FIELD ON MULTIHARMONIC INTERACTION OF WAVES IN AMPLIFICATION SECTION OF SUPERHETERODYNE FEL." Problems of Atomic Science and Technology, December 12, 2023, 186–91. http://dx.doi.org/10.46813/2023-148-186.

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In the cubic nonlinear approximation, we analyze the processes of generating the electric pump field by an electron beam and its effect on the amplification of space charge waves (SCW) in the amplification section of a parametric superheterodyne free-electron laser (FEL). We found that the generated pump electric field amplitude is within 21…33% of the amplitude of the external pump electric field. We showed that the generated pump electric field is in phase with the external one. It leads to an increase in the growth increments of SCW; therefore, the length of the SCW amplification section is
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