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Journal articles on the topic 'Nonlinear evolution of ultrasonic pulses'

Author: Grafiati

Published: 3 June 2025

Last updated: 19 July 2025

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Liu, Yichen, Xiongbing Li, Guangdong Zhang, Shuzeng Zhang, and Hyunjo Jeong. "Characterizing Microstructural Evolution of TP304 Stainless Steel Using a Pulse-Echo Nonlinear Method." Materials 13, no. 6 (2020): 1395. http://dx.doi.org/10.3390/ma13061395.

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Tube/Pipe (TP) 304 stainless steel has been widely used in industry, but a change in its microstructures may endanger its service safety, and it is essential to evaluate its microstructural evolution. In this work, a pulse-echo nonlinear method is proposed to characterize the microstructural evolution of the TP304 stainless steel. The detailed pulse-echo nonlinear experimental process is presented, and it is shown that the absolute nonlinear parameter can be determined when the effect of attenuation is taken into account. The microstructural evolution of TP304 stainless steel is artificially controlled by annealing treatments before it is evaluated by using nonlinear ultrasonic method and metallographic method. The results show that the grain sizes increase as the annealing time increases, which leads to the performance degradation of the TP304 steel and an increase in the nonlinear parameters, with the reason discussed considering the variation in the microstructure. The present pulse-echo nonlinear method is easier to conduct than the traditional transmission-through method and the absolute nonlinear parameter can be determined for quantitative characterization. The variation in determined nonlinear parameters provides a reference to evaluate the microstructural evolution of TP304 stainless steel.

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Tragazikis, Ilias K., Alexia N. Koutrakou, Theodoti Z. Kordatou, Panagiota T. Dalla, and Theodore E. Matikas. "Monitoring the Nonlinear Acoustic Behavior of Fresh Cementitious Materials during the Hardening Process Using Laser Doppler Vibrometry." Acoustics 2, no. 4 (2020): 833–46. http://dx.doi.org/10.3390/acoustics2040047.

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A challenge in the field of material science and concrete technology is to associate material properties and behavior with changes in internal microstructure. A fundamental issue for planning, implementation, and quality control of construction projects is the fundamental understanding of the hardening process in freshly poured cement-based materials. Shortly after the mixing process, cementitious materials exhibit a substantial damping effect on ultrasonic wave propagation along with low-pulse velocity. The way a wave reflects and diffuses in the volume of a solid material can provide important information about internal heterogeneities. An important application of the wave propagation technique is the determination of layers within the material distinguished by unlike elastic properties. During the hardening process, the ultrasonic wave propagation exhibits a noticeable sensitivity at the point of phase change of the material, that is, the critical point at which the state of the suspension transforms from liquid to solid state. After that point, there is a continuous increase of pulse velocity and ultrasonic signal amplitude. The solidification point is of practical importance since at this point the load-bearing capacity of the composite material and its long-term behavior are based on the connectivity of the solid phase. This study aims to develop a nondestructive tool to monitor freshly poured cement-paste composites at early stages, during the hydration process, by means of nonlinear elastic waves. The measurement setup combined a contact ultrasonic transducer with a noncontact optical detection system, in which the principle of operation is based on the Doppler effect. This methodology enabled us to assess the amplitudes of harmonic vibrations of an acoustic wave propagating through the material with a specific fundamental frequency. This enabled the evaluation of important material properties, such as minute changes in the internal microstructure of fresh concrete during hardening, the evolution of nonlinearity parameters that relate to higher-order elastic constants of the material, as well as the ultrasonic wave velocity.

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VANHILLE, CHRISTIAN, and CLEOFÉ CAMPOS-POZUELO. "THREE TIME-DOMAIN COMPUTATIONAL MODELS FOR QUASI-STANDING NONLINEAR ACOUSTIC WAVES, INCLUDING HEAT PRODUCTION." Journal of Computational Acoustics 14, no. 02 (2006): 143–56. http://dx.doi.org/10.1142/s0218396x06002986.

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Applications of high-amplitude acoustic or ultrasonic waves in industrial processing require a good knowledge of the nonlinear pressure field, as well as the heat produced by the wave. In this article a new time-domain algorithm solving a second-order nonlinear wave equation written in Lagrangian coordinates and valid for any fluid is presented. The new model is compared with two others which were previously developed, corresponding to the two other possible physical approaches. This paper discusses the limits of application of every approach and the suitability of every one to model nonlinear acoustic waves in resonators. Conclusions about the applicability of the physical models are given. The time-domain character of the models allows the development of a new algorithm to calculate the temperature evolution inside a resonator due to acoustic losses. This algorithm is presented here and applied to strongly nonlinear waves for which the nonlinear attenuation is dominant. Several kinds of time functions for excitation can be considered in the models. The strongly nonlinear resonator response to a short pulsed signal is analyzed to show the efficiency of the time-domain numerical model.

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Van Den Abeele, Koen, W. Desadeleer, Geert de Schutter, and Martine Wevers. "Acoustic Emission (AE) and Nonlinear Elastic Wave Spectroscopy (NEWS) for Online Monitoring of Concrete Curing." Advanced Materials Research 13-14 (February 2006): 213–20. http://dx.doi.org/10.4028/www.scientific.net/amr.13-14.213.

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An integrated system of dynamic nondestructive experiments for material process monitoring is proposed, consisting of a combination of the AE technique with Nonlinear Elastic Wave Spectroscopy (NEWS). Using this system, we evaluate the microstructural properties of freshly poured concrete during hydration, with the ultimate goal to correlate these properties to its long-term behavior. The integrated system allows online monitoring of the condition parameters, of the internal microstructural activity by continuously triggering AE events and of the linear and nonlinear elastic properties of the microstructure through ultrasonic pulsed and continuous wave transmission measurements at regular time intervals. The internal temperature readings, the evolution in the acoustic emission events and the behavior of the linear and nonlinear elastic properties can be related to the different stages in the hydration process of concrete. The data are analyzed as a function of the degree of hydration for various concrete compositions during the first three days of the hydration process.

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He, Ping. "Determination of Ultrasonic Parameters Based on Attenuation and Dispersion Measurements." Ultrasonic Imaging 20, no. 4 (1998): 275–87. http://dx.doi.org/10.1177/016173469802000404.

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In the measurement of acoustic attenuation that obeys a power-law α = β f, the traditional through-transmission method uses only the amplitude information of the recorded pulses to determine the two parameters, β and n. In this paper, we propose a new method that utilizes both the amplitude and phase information of the pulses to determine the two parameters. According to this method, the two parameters are estimated by simultaneously performing a least squares fit to the attenuation data that are derived from the amplitude spectra of the pulses, and to the dispersion data that are derived from the phase spectra of the pulses. By fully utilizing the information contained in the recorded pulses and imposing additional constraints on the two parameters, the estimation uncertainty can be reduced. Experimental results from two specimens, one having a linear attenuation and one having a nonlinear attenuation, demonstrate that the new method produces a moderate variance reduction in the case of linear attenuation, and a significant variance reduction in the case of nonlinear attenuation.

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Isoard, M., A. M. Kamchatnov, and N. Pavloff. "Dispersionless evolution of inviscid nonlinear pulses." EPL (Europhysics Letters) 129, no. 6 (2020): 64003. http://dx.doi.org/10.1209/0295-5075/129/64003.

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Sazonov, S. V. "Generatsiya prodol'nogo ul'trazvuka impul'sami sdvigovoy deformatsii v rezhime spin-fononnogo ekha." Журнал экспериментальной и теоретической физики 163, no. 3 (2023): 335–43. http://dx.doi.org/10.31857/s0044451023030045.

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The possibility of generation of longitudinal ultrasonic pulses of gigahertz frequencies in the spin–phonon echo regime by acting on a magnetized isotropic paramagnet with nanosecond shear strain pulses is predicted. The frequency of generated longitudinal ultrasonic echo signals is twice as high as the frequency of pulses entered into the medium. This effect can be realized when the velocity of longitudinal ultrasound exceeds the velocity of shear strain waves by less than two times. This resonant mechanism of the pulsed regime of second harmonic generation, which is accompanied by a nonlinear transformation of transverse into longitudinal ultrasound, has no optical analog.

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VERWICHTE, E., V. M. NAKARIAKOV, and A. W. LONGBOTTOM. "On the evolution of a nonlinear Alfvén pulse." Journal of Plasma Physics 62, no. 2 (1999): 219–32. http://dx.doi.org/10.1017/s0022377899007771.

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The temporal evolution of weakly nonlinear, plane, linearly polarized Alfvén pulses in a cold homogeneous plasma is investigated. A static initial pulse-like disturbance in transverse velocity produces two Alfvén pulses that travel in opposite directions along the magnetic field. The ponderomotive force of the two pulses produces a static shock in longitudinal velocity at the starting position. The travelling pulses form a shock front that is governed by the scalar Cohen–Kulsrud equation. We find good agreement between the analytical solutions we derive and the results from a fully nonlinear numerical MHD code.

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VANHILLE, CHRISTIAN, and CLEOFÉ CAMPOS-POZUELO. "SIMULATION OF NONLINEAR ULTRASONIC PULSES PROPAGATING THROUGH BUBBLY LAYERS IN A LIQUID: FILTERING AND CHARACTERIZATION." Journal of Computational Acoustics 18, no. 01 (2010): 47–68. http://dx.doi.org/10.1142/s0218396x1000405x.

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This paper deals with the nonlinear propagation of ultrasonic pulses in a homogeneous medium in which a bubbly layer is placed. The medium we use is air bubbles in water. During the propagation of a pulse, the interaction of the acoustic field and bubbles vibration is assured via the coupling of a nonlinear differential system. The solution is tracked in the time domain by means of the SNOW-BL code. In the biphasic fluid, attenuation and nonlinear effects are due to the bubbles only. The study addresses to two applications: filter effects of the layer and nonlinear characterization of liquid–gas mixtures. We study the filter effects (screen effect) a layer has for some frequency ranges present in the initial ultrasonic pulses, in the linear and nonlinear regimes, i.e. for low and high pressure amplitude. One (or several) simple layer is contemplated in numerical experiments with different bubble densities, bubble sizes, layer thicknesses, for different kinds of pulse.

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CHIROIU, V., C. CHIROIU, C. RUGINA, P. P. DELSANTO, and M. SCALERANDI. "PROPAGATION OF ULTRASONIC WAVES IN NONLINEAR MULTILAYERED MEDIA." Journal of Computational Acoustics 09, no. 04 (2001): 1633–45. http://dx.doi.org/10.1142/s0218396x01000954.

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In the framework of the Local Interaction Simulation Approach (LISA), iteration equations are derived for the simulation of the propagation of ultrasonic waves in nonlinear multilayered 1-D media. The numerical results are compared with analytical solutions obtained in a perturbation treatment. The method is then applied to study several problems of nonlinear propagation, including the distortion of pulses, the formation of shock waves and, in the case of cw's, anharmonic effects and coupling between extended and localized vibration modes.

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Chen Zhao-Jiang, Zhang Shu-Yi, and Zheng Kai. "Nonlinear vibration in metal plate excited by high-power ultrasonic pulses." Acta Physica Sinica 59, no. 6 (2010): 4071. http://dx.doi.org/10.7498/aps.59.4071.

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SCALERANDI, M., and V. AGOSTINI. "SIMULATION OF THE PROPAGATION OF ULTRASONIC PULSES IN NONLINEAR AND/OR ATTENUATIVE MEDIA." Journal of Computational Acoustics 10, no. 03 (2002): 275–94. http://dx.doi.org/10.1142/s0218396x02001693.

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Computer simulation techniques, such as the Local Interaction Simulation Approach (LISA), allow us to predict accurately and efficiently the propagation of acoustic and ultrasonic waves or pulses in complex (heterogeneous and/or anisotropic) media. For a quantitative comparison with experimental results it is necessary to properly include in the model the attenuation and dispersion properties of the propagation medium. A spring model is used to derive heuristically the iteration equations, which yield stable and convergent simulations of the wave propagation even in the case of attenuative, dispersive and/or nonlinear media. To illustrate the procedure several examples of propagation of monochromatic waves and pulses are presented.

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Назаров, В. Е., та А. Б. Колпаков. "Влияние сильной низкочастотной волны на распространение слабых ультразвуковых импульсов в стержневом резонаторе из отожженной поликристаллической меди". Журнал технической физики 92, № 4 (2022): 620. http://dx.doi.org/10.21883/jtf.2022.04.52251.266-21.

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An experimental study of the effect of a strong low-frequency wave on the propagation of weak ultrasonic pulses in an acoustic resonator made of annealed polycrystalline copper has been carried out. The measurements were carried out with harmonic excitation of the resonator at its first four longitudinal modes in the range from 2 to 15 kHz, the frequency of ultrasonic pulses varied from 65 to 400 kHz. The analysis of the observed nonlinear effects was carried out within the framework of the polycrystal equation of state obtained on the basis of a modified string model of the Granato-Lucke dislocation. The values of the parameters of dissipative and reactive nonlinearity of dislocations in annealed copper are determined.

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Ghodake, Pravinkumar R. "Inverse design of non-periodic nonlinear metamaterials for nonlinear ultrasonics." Journal of the Acoustical Society of America 151, no. 4 (2022): A40. http://dx.doi.org/10.1121/10.0010590.

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Previous work by the author gives an idea about the effective design of linear and phononic “periodic” metamaterial using shape optimization to suppress the system-generated 2nd harmonics of a longitudinal wave during nonlinear ultrasonic testing [Ghodake, J. Acoust. Soc. Am. 150, A149 (2021)]. That work considers only the geometric nonlinearity of the layered materials and sinusoidal waves as an input short pulse. The present work implements a shape optimization technique to obtain the optimal design parameters of the “non-periodic” metamaterial by considering both material and geometric nonlinearities of the layered materials present in the phononic crystal as this assumption is close to the real experimental situations. Gaussian short input pulses are considered in this study with two different objectives such as only reducing the amplitude of the 2nd harmonics and reducing the amplitude of 2nd harmonics, maximizing the amplitude of 1st harmonics as well as maintaining the Gaussian shape of the output pulse which makes this inverse problem challenging. This study demonstrates the applicability of the non-periodic metamaterial in practical situations and the importance of the proposed inverse design approach in linear and nonlinear elastic wave propagation applications such as ultrasonic waves and seismic waves.

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FAINBERG, B. D., B. ZOLOTOV, and D. HUPPERT. "NONLINEAR LASER SPECTROSCOPY OF NONLINEAR SOLVATION." Journal of Nonlinear Optical Physics & Materials 05, no. 04 (1996): 789–807. http://dx.doi.org/10.1142/s0218863596000568.

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In this study we show that the transient four-photon spectroscopy with pulses longer than the electronic transition dephasing can be used for nonlinear solvation study, i.e., when the linear response for the solvation dynamics breaks down. We have obtained new formulae describing the time evolution of the moments of the nonlinear optical spectra and, in particular, the time resolved fluorescence in the case of nonlinear solvation.

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Nazarov V.E. and Kolpakov A.B. "Influence of a strong low-frequency wave on the propagation of weak ultrasonic pulses in a rod resonator made of annealed polycrystalline copper." Technical Physics 92, no. 4 (2022): 527. http://dx.doi.org/10.21883/tp.2022.04.53611.266-21.

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An experimental study of an influence of a strong low-frequency wave on the propagation of weak ultrasonic pulses in an acoustic resonator made of annealed polycrystalline copper has been carried out. The measurements were carried out with harmonic excitation of the resonator at its first four longitudinal modes in the range from 2 to 15 kHz, the frequency of ultrasonic pulses varied from 65 to 400 kHz. The analysis of the observed nonlinear effects was carried out within the framework of the polycrystal equation of state obtained on the basis of a modified string model of the Granato-Lucke dislocation. The values of the parameters of dissipative and reactive nonlinearity of dislocations in annealed copper are determined. Keywords: dislocation dissipative and reactive nonlinearity, polycrystalline copper, elastic waves.

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Li, Mengmeng, Alexey Lomonosov, Zhonghua Shen, et al. "Monitoring of Thermal Aging of Aluminum Alloy via Nonlinear Propagation of Acoustic Pulses Generated and Detected by Lasers." Applied Sciences 9, no. 6 (2019): 1191. http://dx.doi.org/10.3390/app9061191.

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Nonlinear acoustic techniques are established tools for the characterization of micro-inhomogeneous materials with higher sensitivity, compared to linear ultrasonic techniques. In particular, the evaluation of material elastic quadratic nonlinearity via the detection of the second harmonic generation by acoustic waves is known to provide an assessment of the state variation of heat treated micro-structured materials. We report on the first application for non-destructive diagnostics of material thermal aging of finite-amplitude longitudinal acoustic pulses generated and detected by lasers. Finite-amplitude longitudinal pulses were launched in aluminum alloy samples by deposited liquid-suspended carbon particles layer irradiated by a nanosecond laser source. An out-of-plane displacement at the epicenter of the opposite sample surface was measured by an interferometer. This laser ultrasonic technique provided an opportunity to study the propagation in aluminum alloys of finite-amplitude acoustic pulses with a strain up to 5 × 10−3. The experiments revealed a signature of the hysteretic quadratic nonlinearity of micro-structured material manifested in an increase of the duration of detected acoustic pulses with an increase of their amplitude. The parameter of the hysteretic quadratic nonlinearity of the aluminum alloy (Al6061) was found to be of the order of 100 and to exhibit more than 50% variations in the process of the alloy thermal aging. By comparing the measured parameter of the hysteretic quadratic nonlinearity in aluminum alloys that were subjected to heat-treatment at 220 °C for different times (0 min, 20 min, 40 min, 1 h, 2 h, 10 h, 100 h, and 1000 h), with measurements of yield strength in same samples, it was established that the extrema in the dependence of the hysteretic nonlinearity and of the yield strength of this alloy on heat treatment time are correlated. This experimental observation provides the background for future research with the application goal of suggested nonlinear laser ultrasonic techniques for non-destructive evaluation of alloys’ strength and rigidity in the process of their heat treatment.

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Lassen, H. E., F. Mengel, N. C. Albertsen, P. L. Christiansen, and B. Tromborg. "Evolution of chirped pulses in nonlinear single-mode fibers." Optics Letters 10, no. 1 (1985): 34. http://dx.doi.org/10.1364/ol.10.000034.

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Boardman, A. D., and G. S. Cooper. "Evolution of Circularly Polarized Pulses in Nonlinear Optical Fibres." Journal of Modern Optics 35, no. 3 (1988): 407–17. http://dx.doi.org/10.1080/09500348814550441.

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Fortier, T. M., S. T. Cundiff, I. T. Lima, B. S. Marks, C. R. Menyuk, and R. S. Windeler. "Nonlinear polarization evolution of ultrashort pulses in microstructure fiber." Optics Letters 29, no. 21 (2004): 2548. http://dx.doi.org/10.1364/ol.29.002548.

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Kuramitsu, Yasuhiro, Yosuke Matsumoto, and Takanobu Amano. "Nonlinear evolution of the Weibel instability with relativistic laser pulses." Physics of Plasmas 30, no. 3 (2023): 032109. http://dx.doi.org/10.1063/5.0138855.

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The Weibel instability is investigated using relativistic intense short laser pulses. A relativistic short laser pulse can generate a sub-relativistic high-density collisionless plasma. By irradiating double parallel planar targets with two relativistic laser pulses, sub-relativistic collisionless counterstreaming plasmas are created. Since the growth rate of the Weibel instability is proportional to the plasma density and velocity, the spatial and temporal scales of the Weibel instability can be much smaller than that from nanosecond large laser facilities. Recent theoretical and numerical studies have revealed that astrophysical collisionless shocks in sub-relativistic regimes in the absence and presence of an ambient magnetic field play essential roles in cosmic ray acceleration. With experimental verification in mind, we discuss the possible experimental models on the Weibel instability with intense short laser pulses. In order to show the experimental feasibility, we perform 2D particle-in-cell simulations in the absence of an external magnetic field as the first step and discuss the optimum conditions to realize the nonlinear evolutions of the Weibel instability in laboratories.

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Kazakov, Vyacheslav V., Alexander M. Sutin, and Paul A. Johnson. "Crack location using nonlinear means applying modulation of ultrasonic pulses by cw vibration." Journal of the Acoustical Society of America 109, no. 5 (2001): 2308. http://dx.doi.org/10.1121/1.4744105.

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Too, Gee‐Pinn James, Jerry H. Ginsberg, and Jacqueline Naze Tjøtta. "A version of NPE for nonlinear propagation of ultrasonic pulses in focused field." Journal of the Acoustical Society of America 89, no. 4B (1991): 1928. http://dx.doi.org/10.1121/1.2029541.

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Matysík, Michal, Iveta Plšková, and Zdeněk Chobola. "Sensitivity Assessment of the Nonlinear Resonant Ultrasonic Spectroscopy for Concrete Damage Detection." Key Engineering Materials 868 (October 2020): 51–56. http://dx.doi.org/10.4028/www.scientific.net/kem.868.51.

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Nonlinear Resonant Ultrasound Spectroscopy is a nondestructive acoustic method which is able to measure the bulk hysteretic nonlinearity. This method monitors the shift of the resonant frequency in response of variations in the excitation frequency amplitudes. Measurements were performed on concrete samples exposed to temperatures of 200, 400, 600, 800, 1000, 1200 °C. The elastic modulus values are given to compare the Nonlinear Resonant Ultrasound Spectroscopy (NRUS) sensitivity. These are calculated from the measured velocities of ultrasonic pulses (linear acoustic method) and from the bulk density. The strengths of the samples obtained by destructive methods are also given. Based on these results, the NRUS method can be described as a very sensitive indicator of damage in concrete.

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Guppy, A., R. B. Coles, and J. D. Pettigrew. "Echolocation and acoustic communication in the Australian Ghost Bat, Macroderma gigas (Microchiroptera: Megadermatidae)." Australian Mammalogy 8, no. 4 (1985): 299–308. http://dx.doi.org/10.1071/am85029.

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The vocal ability of Macroderma gigas can be divided into two sections, social communication and echolocation signals. The echolocation system is characterised by short frequency modulated pulses with an average duration of 0.7 msec at rest and 1.2 msec during indoor flight. The pulses contain 3 or 4 harmonics, with the second and third harmonics having the most energy. The fundamental frequency of the pulse is modulated from 20-15 kHz and is suppressed during sonar emission. Pulse repetition rate varies from 2 pps at rest to 110 pps when approaching objects during flight. An average pulse rate of 32 pps occurs during unrestricted flight. During flight, echolocation pulses are grouped into 3 to 5 pulses with bursts of three being the most common. During the approach to objects sonar pulses become paired, while during landing pulse emission is ungrouped. Two types of social communication sounds are described: audible (to humans) calls which include a commonly used "chirp" and "squabble", and ultrasonic calls. The audible calls have a main energy band between 5-15 kHz. The structure of ultrasonic social calls have similarities to sonar pulses but most of the energy is restricted to the second harmonic.

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Dunning, Dorothy C., Lalita Acharya, Catherine B. Merriman, and Lella Dal Ferro. "Interactions between bats and arctiid moths." Canadian Journal of Zoology 70, no. 11 (1992): 2218–23. http://dx.doi.org/10.1139/z92-298.

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Many arctiid moths emit trains of ultrasonic clicks upon tactile stimulation and when exposed to trains of ultrasonic pulses like those emitted by bats. We observed the responses of captive big brown bats (Eptesicus fuscus) and free-foraging red bats (Lasiurus borealis) to arctiid moths and similar-sized moths of other families, and the responses of free-flying moths to trains of ultrasonic pulses like those of bats. Both the big brown bats and the red bats ate significantly fewer arctiids than were available to them, but the captive bats were more likely to kill arctiids than were the free-flying ones. The captive bats ate fewer of the arctiids they killed than moths of other families. Muted arctiid moths were caught by the red bats more than intact conspecifics but usually were dropped without being eaten. Free-flying arctiid moths changed their flight paths less in response to trains of ultrasonic pulses than did moths of other families similarly capable of hearing these signals. These results suggest that arctiid moths use their clicks and chemical defenses to protect them from the bats that prey upon them, and that these clicks are aposematic signals that warn bats of unpalatable prey.

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Qiao, Rui, and Xiaoling Yan. "The Characterization of Fatigue Damage of 316L Stainless Steel Parts Formed by Selective Laser Melting with Harmonic Generation Technique." Materials 15, no. 3 (2022): 718. http://dx.doi.org/10.3390/ma15030718.

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Fatigue damage is the main reason for the failure of parts formed by selective laser melting (SLM) technology. This paper presents a high-order, harmonic, and nonlinear ultrasonic testing system for monitoring the generation and evolution of fatigue damage in SLM 316L stainless steel parts. The results demonstrate that the normalized ultrasonic, nonlinear coefficients show a significant dependence on the degree of fatigue damage of the tested specimen and that the normalized, ultrasonic, and nonlinear coefficients are effective in characterizing the degree of fatigue damage in SLM 316L stainless steel parts. Transmission electron microscope (TEM) and scanning electron microscope (SEM) analyses show that the variation in the normalized, ultrasonic, nonlinear coefficients reflect the generation and evolution process of dislocation and crack in the fatigue process of SLM 316L stainless steel specimens, and reveal the fatigue damage mechanism of SLM 316L stainless steel parts.

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Ivanov, S. K., and A. M. Kamchatnov. "Evolution of wave pulses in fully nonlinear shallow-water theory." Physics of Fluids 31, no. 5 (2019): 057102. http://dx.doi.org/10.1063/1.5094695.

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Grigoryan, V. S., and T. S. Muradyan. "Evolution of light pulses into autosolitons in nonlinear amplifying media." Journal of the Optical Society of America B 8, no. 8 (1991): 1757. http://dx.doi.org/10.1364/josab.8.001757.

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Bugay, Aleksandr N., and Vyacheslav A. Khalyapin. "Evolution of super-Gaussian pulses in a nonlinear optical fiber." Laser Physics 28, no. 4 (2018): 045403. http://dx.doi.org/10.1088/1555-6611/aaa5d7.

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Szczepanek, Jan, Tomasz M. Kardaś, Czesław Radzewicz, and Yuriy Stepanenko. "Nonlinear polarization evolution of ultrashort pulses in polarization maintaining fibers." Optics Express 26, no. 10 (2018): 13590. http://dx.doi.org/10.1364/oe.26.013590.

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Karpman, V. I., and V. Yu Belashov. "Evolution of three-dimensional nonlinear pulses in weakly dispersive media." Physics Letters A 154, no. 3-4 (1991): 140–44. http://dx.doi.org/10.1016/0375-9601(91)90751-s.

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Иванов, С. К., та А. М. Камчатнов. "Эволюция интенсивных световых импульсов в нелинейной среде с учетом эффекта Рамана". Журнал технической физики 127, № 7 (2019): 101. http://dx.doi.org/10.21883/os.2019.07.47936.87-19.

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AbstractThe evolution of high-intensity light pulses in nonlinear single-mode optical waveguides, the dynamics of light in which is described by the nonlinear Schrödinger equation with a Raman term taking into account stimulated Raman self-scattering of light, is investigated. It is demonstrated that dispersive shock waves the behavior of which is much more diverse than in the case of ordinary nonlinear Schrödinger equation with a Kerr nonlinearity are formed in the process of evolution of pulses of substantially high intensity. The Whitham equations describing slow evolution of the dispersive shock waves are derived under the assumption of the Raman term being small. It is demonstrated that the dispersive shock waves can asymptotically assume a stationary profile when the Raman effect is taken into account. Analytical theory is corroborated by numerical calculations.

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Gradov, Oleg M. "Features of Generation, Propagation and Application of Special Ultrasonic Impulses in Viscous Liquids." Mathematical and Computational Applications 29, no. 6 (2024): 121. https://doi.org/10.3390/mca29060121.

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An exact numerical and approximate analytical description of solitary acoustic pulses with a large difference in spatial gradients of parameters in different directions has been obtained in viscous liquids using this small parameter. The method of special initial-boundary conditions obtained during analyzing the hydrodynamic equations has been applied to describe the peculiarities of this nonlinear phenomenon. Waves of this type exist in the presence of two- or three-dimensional inhomogeneity of the initial disturbances and retain a spatial structure along the direction of propagation when traveling long distances. At the same time, it is possible to regulate the pressure drop and the speed of the acoustic signal, which creates unique conditions for a special force effect or information transmission. The efficiency of their use in such processes as metal dissolution, solvent extraction and mass transfer under the conditions of resonance exposure of ultrasound was evaluated. Fine details of exciting the nonlinear impulse with the necessary properties have been analyzed to demonstrate a possible way to a new technology of successfully treating any different specimens, materials and constructions for a long distance between the source of radiation and the position of the treatment. The use of such pulses opens up new opportunities for remote acoustic force impact on various objects, as well as for the transmission of information.

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Liu, Yang, Peng Zhang, Yunlong Fan, Tong Wu, Hao Yu, and Shoufeng Tong. "Transition behavior between Q-switched mode-locked pulses and noise-like pulses in a thulium doped fiber laser." Laser Physics 35, no. 3 (2025): 035101. https://doi.org/10.1088/1555-6611/ada74f.

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Abstract Noise-like pulses (NLPs) are one of the important phenomena in mode-locked fiber lasers. The formation and evolution of NLPs are important components of nonlinear dynamics. A transition behavior between Q-switched mode-locked (QSML) pulses and NLPs in a figure-9 fiber laser by a nonlinear amplifying loop mirror is firstly reported. At a pump power of 1.817 W, the transition behavior was observed. The shape of the envelope of this transition behavior is similar to that of the shape of the envelope of Q-switched, and the variation of pulse duration with power conforms to the features of QSML. Meanwhile, the autocorrelation curve of the transition behavior partially conforms to the features of NLPs. By increasing the pump power or adjusting the polarization state of the cavity, the transition behavior remains stable. Pure was obtained by additionally adding 50 m single-mode fiber in the cavity. The evolution of transition behavior may facilitate potential contributions to enrich the understanding of the nonlinear dynamics in passively mode-locked lasers.

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Herrera, Rodrigo Acuna, and Carlos A. Rodriguez. "Dependence of the shape of fiber tapers on the nonlinear pulse propagation." Journal of Nonlinear Optical Physics & Materials 25, no. 01 (2016): 1650002. http://dx.doi.org/10.1142/s0218863516500028.

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Using a model for the shape of tapered fiber optics, we numerically study the effect of the taper shape profile on nonlinear optical pulse propagation. We show that super-Gaussian pulses can be generated and controlled and that they are independent of higher-order nonlinearities, which makes them a good candidate for optical communications. We see that it is possible to compensate for the [Formula: see text] variation of the dispersion with the nonlinear parameter and obtain the solutions of the homogeneous nonlinear Schrödinger equation. In addition, pulse collisions can be produced using chirped pump pulses. Finally, using a variational method, we study the chirp and time evolution for the generated super-Gaussian pulses as a function of the taper elongation profile.

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Dvuzhilov, Ilya, Yulia Dvuzhilova, and Mikhail Belonenko. "Extremely Short Optical Pulses in a Medium of Oriented Carbon Nanotubes with Nonlinearities of Orders 3 and 5." NBI Technologies, no. 2 (September 2023): 11–17. http://dx.doi.org/10.15688/nbit.jvolsu.2023.2.2.

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In the work, a theoretical study was carried out as well as numerical simulation of the interaction of three-dimensional extremely short pulses with an inhomogeneous array of oriented semiconductor carbon nanotubes, with polarization nonlinearities of 3 and 5 orders. The results of the temporal evolution of such pulses and the dependence of the pulse strength on the parameters of the inhomogeneity of an array of oriented nanotubes are shown. Extremely short pulses (ESP), in this case, mean optical pulses of high intensity, containing one to five periods of the electromagnetic field, with a duration of up to 100 ps. The pulse frequency lies in the near-infrared range. A necessary condition for the stable propagation of extremely short pulses is the presence of nonlinear effects that would make it possible to compensate for their dispersion and diffraction spreading. Therefore, an array of oriented carbon nanotubes (CNTs), which have nonlinear properties, was chosen as the pulse propagation medium. The use of nonlinear optical media can be used to create coherent radiation sources, light sources with variable frequency, etc.

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Kotukhov A. V, Efremov D. V., Bannikova I. A., et al. "Study of cavitation noise without subharmonics." Technical Physics Letters 49, no. 3 (2023): 73. http://dx.doi.org/10.21883/tpl.2023.03.55692.19455.

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The evolution of the cavitation noise (CN) spectra in the field of a focusing emitter with an increase in the intensity of ultrasound (US) was studied. Spectra without subharmonics f0/2 were recorded for the first time, where f0 is the frequency of the ultrasound generating cavitation,. Such a spectrum is observed in partially degassed water at a high duty cycle of ultrasonic pulses. The threshold for the appearance of sonoluminescence (SL) coincides with the threshold for the appearance of the frequency f0/2 in the CR spectrum. In a pulsed field at an ultrasonic intensity much higher than the cavitation threshold, the SL intensity increases with an increase in the duty cycle of the pulses, while the intensity of the f0/2 line in the CS spectrum decreases. Keywords: sonoluminescence, subharmonics.

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Котухов, А. В., Д. В. Ефремов, И. А. Банникова та ін. "Наблюдение кавитационного шума без субгармоники". Письма в журнал технической физики 49, № 6 (2023): 39. http://dx.doi.org/10.21883/pjtf.2023.06.54816.19455.

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Hurtado-Aviles, Eric Abraham, Jesús Alejandro Torres, Martín Trejo-Valdez, Christopher René Torres-SanMiguel, Isaela Villalpando, and Carlos Torres-Torres. "Ultrasonic Influence on Plasmonic Effects Exhibited by Photoactive Bimetallic Au-Pt Nanoparticles Suspended in Ethanol." Materials 12, no. 11 (2019): 1791. http://dx.doi.org/10.3390/ma12111791.

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The optical behavior exhibited by bimetallic nanoparticles was analyzed by the influence of ultrasonic and nonlinear optical waves in propagation through the samples contained in an ethanol suspension. The Au-Pt nanoparticles were prepared by a sol-gel method. Optical characterization recorded by UV-vis spectrophotometer shows two absorption peaks correlated to the synergistic effects of the bimetallic alloy. The structure and nanocrystalline nature of the samples were confirmed by Scanning Transmission Electron Microscopy with X-ray energy dispersive spectroscopy evaluations. The absorption of light associated with Surface Plasmon Resonance phenomena in the samples was modified by the dynamic influence of ultrasonic effects during the propagation of optical signals promoting nonlinear absorption and nonlinear refraction. The third-order nonlinear optical response of the nanoparticles dispersed in the ethanol-based fluid was explored by nanosecond pulses at 532 nm. The propagation of high-frequency sound waves through a nanofluid generates a destabilization in the distribution of the nanoparticles, avoiding possible agglomerations. Besides, the influence of mechanical perturbation, the container plays a major role in the resonance and attenuation effects. Ultrasound interactions together to nonlinear optical phenomena in nanofluids is a promising alternative field for a wide of applications for modulating quantum signals, sensors and acousto-optic devices.

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Li, Weibin, Bingyao Chen, Xinlin Qing, and Younho Cho. "Characterization of Microstructural Evolution by Ultrasonic Nonlinear Parameters Adjusted by Attenuation Factor." Metals 9, no. 3 (2019): 271. http://dx.doi.org/10.3390/met9030271.

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The use of an acoustic nonlinear response has been accepted as a promising alternative for the assessment of micro-structural damage in metallic solids. However, the full mechanism of the acoustic nonlinear response caused by the material micro-damages is quite complex and not yet well understood. In this paper, the effect of material microstructural evolution on acoustic nonlinear response of ultrasonic waves is investigated in rolled copper and brass. Microstructural evolution in the specimens is artificially controlled by cold rolling and annealing treatments. The correlations of acoustic nonlinear responses of ultrasonic waves in the specimens corresponding to the microstructural changes are obtained experimentally. To eliminate the influence of attenuation, which was induced by microstructural changes in specimens, experimentally-measured nonlinear parameters are corrected by an attenuation correction term. An obvious decrease of nonlinearity with the increase of grain size is found in the study. In addition, the influences of material micro-damages introduced by cold rolling on the acoustic nonlinear response in specimens are compared with the ones of grain boundaries controlled by heat treatment in specimens. The experimental results show that the degradation of material mechanical properties is not always accompanied by the increase of acoustic nonlinearity generated. It suggested that the nonlinear ultrasonic technique can be used to effectively characterize the material degradations, under the condition that the variations of grain sizes in the specimens under different damage states are negligible.

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Manry, Rebecca A., and Murray S. Korman. "Nonlinear scattering of crossed ultrasonic beams in the presence of turbulence: Experiments performed with pulses." Journal of the Acoustical Society of America 109, no. 5 (2001): 2343. http://dx.doi.org/10.1121/1.4744234.

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Zhang, Shu‐yi, Zhao‐jiang Chen, Kai Zheng, Xiao‐bing Mi, and Jiang Zheng. "Nonlinear vibrations and heating phenomena of cracks in metal plates excited by intensive ultrasonic pulses." Journal of the Acoustical Society of America 129, no. 4 (2011): 2484. http://dx.doi.org/10.1121/1.3588182.

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Rosenberg, C. J., D. Anderson, M. Desaix, P. Johannisson, and M. Lisak. "Evolution of optical pulses towards wave breaking in highly nonlinear fibres." Optics Communications 273, no. 1 (2007): 272–77. http://dx.doi.org/10.1016/j.optcom.2006.12.037.

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Kamchatnov, A. M. "Evolution of Nonlinear Wave Pulses in the sine-Gordon Equation Theory." Journal of Experimental and Theoretical Physics 136, no. 5 (2023): 653–61. http://dx.doi.org/10.1134/s1063776123050011.

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Erofeev, Vladimir I., Anna V. Leonteva, Alexey O. Malkhanov, and Ashot V. Shekoyan. "Localized nonlinear waves in a semiconductor with charged dislocations." EPJ Web of Conferences 250 (2021): 03012. http://dx.doi.org/10.1051/epjconf/202125003012.

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To describe a nonlinear ultrasonic wave in a semiconductor with charged dislocations, an evolution equation is obtained that generalizes the well-known equations of wave dynamics: Burgers and Korteweg de Vries. By the method of truncated decompositions, an exact analytical solution of the evolution equation with a kink profile has been found. The kind of kink (increasing, decreasing) and its polarity depend on the values of the parameters and their signs. An ultrasonic wave in a semiconductor containing numerous charged dislocations is considered. It is assumed that there is a constant electric field that creates an electric current. The situation is similar to the case of the propagation of ultrasonic waves in piezoelectric semiconductors, but in the problem under consideration, instead of the electric field due to the piezoelectric properties of the medium, the electric field of dislocations appears.

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Dattoma, Vito, Riccardo Nobile, Francesco Willem Panella, and Andrea Saponaro. "Real-time monitoring of damage evolution by nonlinear ultrasonic technique." Procedia Structural Integrity 24 (2019): 583–92. http://dx.doi.org/10.1016/j.prostr.2020.02.051.

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MEDEIROS, MARCELLO A. F., and MICHAEL GASTER. "The influence of phase on the nonlinear evolution of wavepackets in boundary layers." Journal of Fluid Mechanics 397 (October 25, 1999): 259–83. http://dx.doi.org/10.1017/s0022112099006175.

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The nonlinear evolution of wavepackets in a laminar boundary layer has been observed experimentally. The packets originated from disturbances generated by a loudspeaker coupled to the boundary layer by a small hole in the plate. In a preliminary experiment two types of short-duration acoustic pulses were used, one with a positive excitation and another with a negative excitation. The experiments indicated that the packet that originated from a positive pulse displayed nonlinear behaviour at considerably lower amplitudes than that from a negative pulse. However, the preliminary experiments suggested that at some distance from the source the packets were identical in shape with a relative phase shift of 180°. Using complex-amplitude pulses it was possible to extend the experiments to include packets with other phases. This more comprehensive experiment not only showed a strong influence of the phase on the evolution of the packet, but also demonstrated that this nonlinear behaviour is not determined by the local effects of the excitation process. The observations suggested that the important parameter is the phase of the packet relative to the modulation envelope.

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Ivanov, S. K., and A. M. Kamchatnov. "WAVE PULSE EVOLUTION FOR FULLY NONLINEAR SERRE EQUATION." XXII workshop of the Council of nonlinear dynamics of the Russian Academy of Sciences 47, no. 1 (2019): 58–60. http://dx.doi.org/10.29006/1564-2291.jor-2019.47(1).15.

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Although the shallow-water theory is a classical subject of investigations with a huge number of papers devoted to it, it still remains very active field of research with many important applications. When one neglects dissipation effects and non-uniformity of the basin’s bottom, the interplay of nonlinearity and dispersion effects leads to quite complicated wave patterns which form depends crucially on the initial profile of the pulse. If the nonlinearity and dispersion effects are taken into account in the lowest approximation and one considers a one-directional propagation of the wave, then its dynamics is governed by the famous Korteweg-de Vries (KdV) equation. Comparison with experiments shows that the KdV approximation is not good enough and one needs to go beyond it. Therefore considerable efforts were directed to the derivation of the corresponding wave equation that was able to better describe the system. One of the most popular models was first suggested and studied in much detail by Serre (Serre, 1953). For such a model, in which evolution is described by the Serre (Su-Gardner, Green- Naghdi) equation, El made an important study of the law of conservation of the “number of waves” and its soliton analogue (El, 2006). Using El’s method one can find the laws of motion of the edges of the dispersive shock waves (DSW) in problems related with self-similar evolution of step-like initial discontinuities. In (Kamchatnov, 2018) these methods were shown that allow one to go beyond such an initial profile. In this report, we will show the application of the methods of this work to study of simple wave initial pulses evolution in the theory of the Serre equations and give an analytical solution for the laws of motion of edges of DSW formed in the process of evolution of the initial pulses. Analytical results are confirmed by numerical calculations. The reported study was funded by RFBR according to the research project №19- 01-00178 А.

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Ma, Pujuan, Yi Zhang, Yanlin Bai, Yangjian Cai, and Jingsong Liu. "Numerical Study of Non-Schell Model Pulses in Nonlinear Dispersive Media with the Monte Carlo-Based Pseudo-Mode Superposition Method." Photonics 12, no. 3 (2025): 236. https://doi.org/10.3390/photonics12030236.

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Recently, we introduced random complex and phase screen methods as powerful tools for numerically investigating the evolution of partially coherent pulses (PCPs) in nonlinear dispersive media. However, these methods are restricted to the Schell model type. Non-Schell model light has attracted growing attention in recent years for its distinctive characteristics, such as self-focusing, self-shifting, and non-diffraction properties as well as its critical applications in areas such as particle trapping and information encryption. In this study, we incorporate the Monte Carlo method into the pseudo-mode superposition method to derive the random electric field of any PCPs, including non-Schell model pulses (nSMPs). By solving the nonlinear Schrödinger equations through numerical simulations, we systematically explore the propagation dynamics of nSMPs in nonlinear dispersive media. By leveraging the nonlinearity and optical coherence, this approach allows for effective control over the focal length, peak power, and full width at half the maximum of the pulses. We believe this method offers valuable insights into the behavior of coherence-related phenomena in nonlinear dispersive media, applicable to both temporal and spatial domains.

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