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Journal articles on the topic 'Nonlinear interfaces'

Author: Grafiati

Published: 13 April 2024

Last updated: 31 July 2025

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1

Savotchenko, S. E. "Nonlinear surface waves propagating along the composite waveguide consisting of self-focusing slab between defocusing media separated by interfaces with nonlinear response." Journal of Nonlinear Optical Physics & Materials 28, no. 04 (2019): 1950039. http://dx.doi.org/10.1142/s0218863519500395.

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The model of the composite symmetric waveguide consisting of self-focusing slab between defocusing nonlinear media separated by interfaces characterized by own nonlinearity response is proposed. Two new types of nonlinear surface waves propagating along it with anti-phase amplitude oscillations at interface planes are found. The frequencies of the nonlinear surface waves existing near the interfaces with the nonlinear response only are calculated analytically. The conditions of the surface wave existence are found. The frequencies and localization distances of the surface waves in dependence o

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2

VASSILIEV, O. N., and M. G. COTTAM. "OPTICALLY NONLINEAR S-POLARIZED ELECTROMAGNETIC WAVES IN MULTILAYERED SYMMETRIC DIELECTRICS." Surface Review and Letters 07, no. 01n02 (2000): 89–102. http://dx.doi.org/10.1142/s0218625x00000129.

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A theory is presented for the nonlinear s-polarized electromagnetic waves in multilayer systems with an arbitrary number of planar interfaces. Each of the individual layers may be characterized by either a linear or a Kerr-type nonlinear dielectric constant, and we examine the coupled nonlinear waves at both linear/nonlinear and nonlinear/nonlinear interfaces. An analysis of the phase trajectories (in terms of an electric field amplitude and its spatial derivative) is employed to enumerate the modes of the system in a systematic manner and to facilitate the derivation of dispersion relations.

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3

NASALSKI, W., and D. BURAK. "GAUSSIAN BEAM NONSPECULAR REFLECTION AT A NONLINEAR DEFOCUSING INTERFACE." Journal of Nonlinear Optical Physics & Materials 04, no. 04 (1995): 929–42. http://dx.doi.org/10.1142/s0218863595000422.

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Nonspecular reflection of a Gaussian beam impinging an interface between linear and defocusing nonlinear Kerr medium is numerically investigated. A composite nonspecular shift of the reflected beam is documented for both local and nonlocal nonlinear interfaces and the nonspecular character of the beam-interface interaction is clearly shown. In analogy to previous studies on interfaces with focusing and local Kerr nonlinearities, and contrary to the results on interfaces with nonlocal defocusing nonlinearity, no bistability in the parameters of the reflected beam is found. This is also confirme

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4

Nouira, Dorra, Davide Tonazzi, Anissa Meziane, Laurent Baillet, and Francesco Massi. "Numerical and Experimental Analysis of Nonlinear Vibrational Response due to Pressure-Dependent Interface Stiffness." Lubricants 8, no. 7 (2020): 73. http://dx.doi.org/10.3390/lubricants8070073.

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Modelling interface interaction with wave propagation in a medium is a fundamental requirement for several types of application, such as structural diagnostic and quality control. In order to study the influence of a pressure-dependent interface stiffness on the nonlinear response of contact interfaces, two nonlinear contact laws are investigated. The study consists of a complementary numerical and experimental analysis of nonlinear vibrational responses due to the contact interface. The laws investigated here are based on an interface stiffness model, where the stiffness property is described

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Savotchenko, S. E. "Nonlinear surface waves propagating along composite waveguide consisting of nonlinear defocusing media separated by interfaces with nonlinear response." Journal of Nonlinear Optical Physics & Materials 29, no. 01n02 (2020): 2050002. http://dx.doi.org/10.1142/s0218863520500022.

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The nonlinear surface waves propagating along the ultra-thin-film layers with nonlinear properties separating three nonlinear media layers are considered. The model based on a stationary nonlinear Schrödinger equation with a nonlinear potential modeling the interaction of a wave with the interface in a short-range approximation is proposed. We concentrated on effects induced by the difference of characteristics of the layers and their two interfaces. The surface waves of three types exist in the system considered. The dispersion relations determining the dependence of surface waves energy on i

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6

Liang, Yu, Zhigang Zhai, Juchun Ding, and Xisheng Luo. "Richtmyer–Meshkov instability on a quasi-single-mode interface." Journal of Fluid Mechanics 872 (June 13, 2019): 729–51. http://dx.doi.org/10.1017/jfm.2019.416.

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Experiments on Richtmyer–Meshkov instability of quasi-single-mode interfaces are performed. Four quasi-single-mode air/$\text{SF}_{6}$ interfaces with different deviations from the single-mode one are generated by the soap film technique to evaluate the effects of high-order modes on amplitude growth in the linear and weakly nonlinear stages. For each case, two different initial amplitudes are considered to highlight the high-amplitude effect. For the single-mode and saw-tooth interfaces with high initial amplitude, a cavity is observed at the spike head, providing experimental evidence for th

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7

Савотченко, С. Е. "Нелинейные интерфейсные волны в трехслойной оптической структуре с отличающимися характеристиками слоев и внутренней самофокусировкой". Журнал технической физики 127, № 7 (2019): 159. http://dx.doi.org/10.21883/os.2019.07.47944.231-18.

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AbstractA model of a trilayered optical structure, the plane-parallel boundary of which possesses its own nonlinear properties, is considered. The inner layer with a finite thickness is an optically transparent medium with Kerr self-focusing nonlinearity, which is in contact with linear half-spaces from the outer surface that are characterized by refractive indices independent of the electric field strength amplitude. Refractive indices in the layer interfaces within infinitely small thicknesses are approximated by the dependence that includes Dirac’s delta function. It is shown that the mathe

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8

Shrivastava, Shamit, Kevin H. Kang, and Matthias F. Schneider. "Collision and annihilation of nonlinear sound waves and action potentials in interfaces." Journal of The Royal Society Interface 15, no. 143 (2018): 20170803. http://dx.doi.org/10.1098/rsif.2017.0803.

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Nerve impulses, previously proposed as manifestations of nonlinear acoustic pulses localized at the plasma membrane, can annihilate upon collision. However, whether annihilation of acoustic waves at interfaces takes place is unclear. We previously showed the propagation of nonlinear sound waves that propagate as solitary waves above a threshold (super-threshold) excitation in a lipid monolayer near a phase transition. Here we investigate the interaction of these waves. Sound waves were excited mechanically via a piezo cantilever in a lipid monolayer at the air–water interface and their amplitu

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9

Luo, Xisheng, Yu Liang, Ting Si, and Zhigang Zhai. "Effects of non-periodic portions of interface on Richtmyer–Meshkov instability." Journal of Fluid Mechanics 861 (December 20, 2018): 309–27. http://dx.doi.org/10.1017/jfm.2018.923.

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The development of a non-periodic $\text{air}\text{/}\text{SF}_{6}$ gaseous interface subjected to a planar shock wave is investigated experimentally and theoretically to evaluate the effects of the non-periodic portions of the interface on the Richtmyer–Meshkov instability. Experimentally, five kinds of discontinuous chevron-shaped interfaces with or without non-periodic portions are created by the extended soap film technique. The post-shock flows and the interface morphologies are captured by schlieren photography combined with a high-speed video camera. A periodic chevron-shaped interface,

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10

Petrov, E. P. "Direct Parametric Analysis of Resonance Regimes for Nonlinear Vibrations of Bladed Disks." Journal of Turbomachinery 129, no. 3 (2006): 495–502. http://dx.doi.org/10.1115/1.2720487.

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A method has been developed to calculate directly resonance frequencies and resonance amplitudes as functions of design parameters or as a function of excitation levels. The method provides, for the first time, this capability for analysis of strongly nonlinear periodic vibrations of bladed disks and other structures with nonlinear interaction at contact interfaces. A criterion for determination of major, sub-, and superharmonic resonance peaks has been formulated. Analytical expressions have been derived for accurate evaluation of the criterion and for tracing resonance regimes as function of

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11

Xiao, Huifang, Yimin Shao, and Chris K. Mechefske. "Transmission of vibration and energy through layered and jointed plates subjected to shock excitation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 7 (2011): 1765–77. http://dx.doi.org/10.1177/0954406211428012.

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In this article, the vibration and energy transmission characteristics at the multiple interfaces of layered and jointed plates associated with friction are studied as a function of the shock loading amplitude using the established ‘sphere-joint assembled multi-layered plates’ model. The dynamic responses at the multiple interfaces under shock excitation are calculated using finite element analysis. The transmissions of vibration and energy through the multiple interfaces are characterized by the defined vibration and energy transmission ratios. Results show that the acceleration amplitudes at

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12

Savotchenko, S. E. "Localized states in symmetric three-layered structure consisting of linear layer between focusing media separated by interfaces with nonlinear response." Modern Physics Letters B 33, no. 11 (2019): 1850127. http://dx.doi.org/10.1142/s0217984919501276.

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We analyze the localization in three-layered symmetric structure consisting of linear layer between focusing nonlinear media separated by nonlinear interfaces. The mathematical formulation of the model is a one-dimensional boundary value problem for the nonlinear Schrödinger equation. We find nonlinear localized states of two types of symmetry. We derive the energies of obtained stationary states in explicit form. We obtain the localization energies as exact solutions of dispersion equations choosing the amplitude of the interface oscillations as a free parameter. We analyze the conditions of

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13

Sánchez-Curto, Julio, Pedro Chamorro-Posada, and Graham S. McDonald. "Dark solitons at nonlinear interfaces." Optics Letters 35, no. 9 (2010): 1347. http://dx.doi.org/10.1364/ol.35.001347.

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14

Sánchez-Curto, J., P. Chamorro-Posada, and G. S. McDonald. "Helmholtz solitons at nonlinear interfaces." Optics Letters 32, no. 9 (2007): 1126. http://dx.doi.org/10.1364/ol.32.001126.

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15

NAKABAYASHI, Seiichiro, Yasuyuki MIYAKITA, and Antonis KARANTONIS. "Nonlinear Dynamics at Electrochemical Interfaces." Hyomen Kagaku 25, no. 2 (2004): 104–9. http://dx.doi.org/10.1380/jsssj.25.104.

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16

Roke, Sylvie. "Nonlinear spectroscopy of bio-interfaces." International Journal of Materials Research 102, no. 7 (2011): 906–12. http://dx.doi.org/10.3139/146.110535.

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17

Glasner, Karl. "Nonlinear Preconditioning for Diffuse Interfaces." Journal of Computational Physics 174, no. 2 (2001): 695–711. http://dx.doi.org/10.1006/jcph.2001.6933.

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18

Rasing, Th, and Y. R. Shen. "Interface Studies with Nonlinear Optics." MRS Bulletin 13, no. 7 (1988): 28–30. http://dx.doi.org/10.1557/s0883769400065234.

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The importance of interfaces for material science and electronic devices has stimulated great interest in the development of surface analytical tools. Among them, modern optical techniques using lasers have attracted the most attention in recent years. They have the advantage of being applicable to all interfaces accessible by light, and the high temporal, spatial, and spectral resolutions offer unique opportunities for studying ultrafast molecular dynamics and other transient phenomena at interfaces. Optical second harmonic generation (SHG) and sum-frequency generation (SFG) are particularly

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19

ABDULLA, UGUR G., and ROQIA JELI. "Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption." European Journal of Applied Mathematics 31, no. 3 (2019): 385–406. http://dx.doi.org/10.1017/s095679251900007x.

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We present a full classification of the short-time behaviour of the interfaces and local solutions to the nonlinear parabolic p-Laplacian-type reaction-diffusion equation of non-Newtonian elastic filtration$$u_t-\Big(|u_x|^{p-2}u_x\Big)_x+bu^{\beta}=0, \ 1 \lt p \lt 2, \beta \gt 0.$$If the interface is finite, it may expand, shrink or remain stationary as a result of the competition of the diffusion and reaction terms near the interface, expressed in terms of the parameters p, β, sign b, and asymptotics of the initial function near its support. In some range of parameters, strong domination of

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20

Schmalzried, Hermann. "Chemical kinetics at solid-solid interfaces." Pure and Applied Chemistry 72, no. 11 (2000): 2137–47. http://dx.doi.org/10.1351/pac200072112137.

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The kinetics of solid-solid interfaces controls in part the course of heterogeneous reactions in the solid state, in particular in miniaturized systems. In this paper, the essential situations of interface kinetics in solids are defined, and the basic formal considerations are summarized. In addition to the role interfaces play as resistances for transport across them, they offer high diffusivity paths laterally and thus represent two-dimensional reaction media. Experimental examples will illustrate the kinetic phenomena at static and moving boundaries, including problems such as exchange flux

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21

Uh Zapata, Miguel, Reymundo Itza Balam, and Silvia Jerez. "An immersed interface method for nonlinear convection–diffusion equations with interfaces." Partial Differential Equations in Applied Mathematics 15 (September 2025): 101250. https://doi.org/10.1016/j.padiff.2025.101250.

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22

Li, Zhen-Ni, Yi-Ze Wang, and Yue-Sheng Wang. "Tunable mechanical diode of nonlinear elastic metamaterials induced by imperfect interface." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2245 (2021): 20200357. http://dx.doi.org/10.1098/rspa.2020.0357.

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In this investigation, the non-reciprocal transmission in a nonlinear elastic metamaterial with imperfect interfaces is studied. Based on the Bloch theorem and stiffness matrix method, the band gaps and transmission coefficients with imperfect interfaces are obtained for the fundamental and double frequency cases. The interfacial influences on the transmission behaviour are discussed for both the nonlinear phononic crystal and elastic metamaterial. Numerical results for the imperfect interface structure are compared with those for the perfect one. Furthermore, experiments are performed to supp

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23

Жакин, А.И. "Нелинейные деформации и нелинейные волны на заряженных и поляризующихся плоских свободных поверхностях". Elektronnaya Obrabotka Materialov 53, № 2 (2017): 21–37. https://doi.org/10.5281/zenodo.1053242.

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The paper presents the calculation method and main results of both theoretical and experimental investigations of the electric field influence on dielectric liquids with interfaces based on week nonlinear analyses. It is shown that the local and periodical deformations and nonlinear waves are formed on the interfaces. The influence of the electric intensity on interface is investigated. Изложены методика расчета и основные результаты теоретических и экспериментальных исследований воздействия электрического поля на диэлектрические жидкости со свободными поверхностями в слабо нелинейном приближе

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24

PEYRET, N., J. L. DION, G. CHEVALLIER, and P. ARGOUL. "MICRO-SLIP INDUCED DAMPING IN PLANAR CONTACT UNDER CONSTANT AND UNIFORM NORMAL STRESS." International Journal of Applied Mechanics 02, no. 02 (2010): 281–304. http://dx.doi.org/10.1142/s1758825110000597.

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The friction between interfaces at bolted joints plays a major role in the damping of structures. This paper deals with the energy losses caused by micro-slips in the joints. The aim of this study is to define in an analytical way these energy dissipation mechanisms which we examine through the analysis of a new benchmark: the flexural vibration of a clamped-clamped beam with original positioning of the interfaces. The joints exhibit the behavior of an interface under constant and uniform normal stress. The stress and strain values are computed at the joints under the assumption of quasi-stati

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25

Eaves, T. S., and N. J. Balmforth. "Instability of sheared density interfaces." Journal of Fluid Mechanics 860 (December 3, 2018): 145–71. http://dx.doi.org/10.1017/jfm.2018.827.

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Of the canonical flow instabilities (Kelvin–Helmholtz, Holmboe-wave and Taylor–Caulfield) of stratified shear flow, the Taylor–Caulfield instability (TCI) has received relatively little attention, and forms the focus of the current study. First, a diagnostic of the linear instability dynamics is developed that exploits the net pseudomomentum to distinguish TCI from the other two instabilities for any given flow profile. Second, the nonlinear dynamics of TCI is studied across its range of unstable horizontal wavenumbers and bulk Richardson numbers using numerical simulation. At small bulk Richa

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26

Kirilyuk, V., A. Kirilyuk, and Th Rasing. "Nonlinear Optical Microscopy of Magnetic Interfaces." Journal of the Magnetics Society of Japan 23, S_1_MORIS_99 (1999): S1_209–209. http://dx.doi.org/10.3379/jmsjmag.23.s1_209.

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27

Daum, W., H.-J. Krause, U. Reichel, and H. Ibach. "Nonlinear optical spectroscopy at silicon interfaces." Physica Scripta T49B (January 1, 1993): 513–18. http://dx.doi.org/10.1088/0031-8949/1993/t49b/024.

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28

Gerasimchuk, I. V., and A. S. Kovalev. "Localization of nonlinear waves between interfaces." Physics of the Solid State 45, no. 6 (2003): 1141–44. http://dx.doi.org/10.1134/1.1583805.

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29

SHEN, Y. R. "NONLINEAR OPTICAL STUDIES OF POLYMER INTERFACES." Journal of Nonlinear Optical Physics & Materials 03, no. 04 (1994): 459–68. http://dx.doi.org/10.1142/s0218199194000250.

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Second-order nonlinear optical processes can be used as effective surface probes. They can provide some unique opportunities for studies of polymer interfaces. Here we describe two examples to illustrate the potential of the techniques. One is on the formation of metal/polymer interfaces. The other is on the alignment of liquid crystal films by mechanically rubbed polymer surfaces.

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30

Sagis, Leonard M. C. "Nonlinear rheological models for structured interfaces." Physica A: Statistical Mechanics and its Applications 389, no. 10 (2010): 1993–2006. http://dx.doi.org/10.1016/j.physa.2010.01.032.

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31

Raschke, Markus B., and Y. Ron Shen. "Nonlinear optical spectroscopy of solid interfaces." Current Opinion in Solid State and Materials Science 8, no. 5 (2004): 343–52. http://dx.doi.org/10.1016/j.cossms.2005.01.002.

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32

Liebsch, A. "Nonlinear optics from surfaces and interfaces." Surface Science 307-309 (April 1994): 1007–16. http://dx.doi.org/10.1016/0039-6028(94)91532-6.

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33

Jiao, J. P., W.-H. Liu, C.-F. He, B. Wu, and J. Zhang. "Nonlinear Acoustic Interaction of Contact Interfaces." Experimental Mechanics 54, no. 1 (2013): 63–68. http://dx.doi.org/10.1007/s11340-012-9710-5.

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34

Hamid, Tariq B., and Gerald A. Miller. "Shear strength of unsaturated soil interfaces." Canadian Geotechnical Journal 46, no. 5 (2009): 595–606. http://dx.doi.org/10.1139/t09-002.

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Unsaturated soil interfaces exist where unsaturated soil is in contact with structures such as foundations, retaining walls, and buried pipes. The unsaturated soil interface can be defined as a layer of unsaturated soil through which stresses are transferred from soil to structure and vice versa. In this paper, the shearing behavior of unsaturated soil interfaces is examined using results of interface direct shear tests conducted on a low-plasticity fine-grained soil. A conventional direct shear test device was modified to conduct direct shear interface tests using matric suction control. Furt

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35

Wu, Haimin, Yiming Shu, Linjun Dai, and Zhaoming Teng. "Mechanical Behavior of Interface between Composite Geomembrane and Permeable Cushion Material." Advances in Materials Science and Engineering 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/184359.

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An accurate description of composite geomembrane-cushion interface behavior is of great importance for stress-deformation analysis and stability assessment of geomembrane surface barrier of rock-fill dam. A series of direct shear tests were conducted to investigate the friction behaviors of interfaces between composite geomembrane and two different permeable cushion materials (crushed stones and polyurethane mixed crushed stones). The shear stress-displacement relationships of the two interfaces show different characteristics and were described by the nonlinear-elastic model and nonlinear-elas

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36

Ren, Shang-Fen, and Jason Stanfield. "Interface Phonon Modes in Strained Semiconductor Superlattices." International Journal of Modern Physics B 12, no. 29n31 (1998): 3137–40. http://dx.doi.org/10.1142/s0217979298002222.

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Phonon modes in strained ZnTe/CdSe superlattices are studied. The macroscopic interface modes and two different types of microscopic interface modes are identified. Interface phonon modes in (ZnTe)8(CdSe)8 superlattice with interchange of atomic layers across interfaces are calculated and compared with the results of superlattice with ideal interfaces.

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37

Do, Duc Phi, and Dashnor Hoxha. "Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method." Journal of Applied Mathematics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/456931.

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The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and p

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38

Li, Zhiyuan, Lifeng Wang, Junfeng Wu, and Wenhua Ye. "Interface coupling effects of weakly nonlinear Rayleigh–Taylor instability with double interfaces." Chinese Physics B 29, no. 3 (2020): 034704. http://dx.doi.org/10.1088/1674-1056/ab6965.

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39

Prinkey, Adam, Montie Avery, and Ugur Abdulla. "Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with fast diffusion and strong absorption." Nonlinear Analysis and Differential Equations 13, no. 1 (2025): 1–14. https://doi.org/10.12988/nade.2025.91463.

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We prove the short-time asymptotic formula for the interfaces and local solutions near the interfaces for the nonlinear double degenerate reaction-diffusion equation of turbulent filtration with fast diffusion and strong absorption \[ u_t=(|(u^{m})_x|^{p-1}(u^{m})_x)_x-bu^{\beta}, \, 0<mp<1, \, \beta >0. \] A complete classification in terms of the nonlinearity parameters $m, p,\beta$ and asymptotics of the initial function near its support is given. In the case of an infinite speed of propagation of the interface (no interface), the asymptotic behavior of the local solution is classi

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40

Hamid Sharif, Nahidh, and Nils‐Erik Wiberg. "Interface‐capturing finite element technique for transient two‐phase flow." Engineering Computations 20, no. 5/6 (2003): 725–40. http://dx.doi.org/10.1108/02644400310488835.

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A numerical model is presented for the computation of unsteady two‐fluid interfaces in nonlinear porous media flow. The nonlinear Forchheimer equation is included in the Navier‐Stokes equations for porous media flow. The model is based on capturing the interface on a fixed mesh domain. The zero level set of a pseudo‐concentration function, which defines the interface between the two fluids, is governed by a time‐dependent advection equation. The time‐dependent Navier‐Stokes equations and the advection equation are spatially discretized by the finite element (FE) method. The fully coupled impli

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41

She, Houxin, Chaofeng Li, Qiansheng Tang, Hui Ma, and Bangchun Wen. "Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface." Frontiers of Mechanical Engineering 15, no. 1 (2019): 133–50. http://dx.doi.org/10.1007/s11465-019-0557-7.

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AbstractThis study derived a novel computation algorithm for a mechanical system with multiple friction contact interfaces that is well-suited to the investigation of nonlinear mode characteristic of a coupling system. The procedure uses the incremental harmonic balance method to obtain the nonlinear parameters of the contact interface. Thereafter, the computed nonlinear parameters are applied to rebuild the matrices of the coupling system, which can be easily solved to calculate the nonlinear mode characteristics by standard iterative solvers. Lastly, the derived method is applied to a cycle

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42

Kiyohara, Shin, Hiromi Oda, Tomohiro Miyata, and Teruyasu Mizoguchi. "Prediction of interface structures and energies via virtual screening." Science Advances 2, no. 11 (2016): e1600746. http://dx.doi.org/10.1126/sciadv.1600746.

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Interfaces markedly affect the properties of materials because of differences in their atomic configurations. Determining the atomic structure of the interface is therefore one of the most significant tasks in materials research. However, determining the interface structure usually requires extensive computation. If the interface structure could be efficiently predicted, our understanding of the mechanisms that give rise to the interface properties would be significantly facilitated, and this would pave the way for the design of material interfaces. Using a virtual screening method based on ma

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43

Савотченко, С. Е. "Особенности локализации нелинейных спиновых волн в слоистой ферромагнитетике, обусловленные магнитной анизотропией слоев". Физика твердого тела 61, № 4 (2019): 698. http://dx.doi.org/10.21883/ftt.2019.04.47415.327.

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AbstractA trilayer structure model has been investigated, in which uniaxial ferromagnetic layers and thin-film interfaces between them are characterized by the magnetic anisotropy. The magnetization perturbation induced in this structure is described by the nonlinear Schrödinger equation with a nonlinear potential, which simulates the interfaces between ferromagnetic layers. It is shown that, in this structure, two types of nonlinear spin waves can propagate along the layers, which are induced by the nonlinearity of the interfaces caused by their magnetic anisotropy. The frequencies of such lo

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44

Morizet, Josephine, Giovanni Sartorello, Nicolas Dray, Chiara Stringari, Emmanuel Beaurepaire, and Nicolas Olivier. "Modeling nonlinear microscopy near index-mismatched interfaces." Optica 8, no. 7 (2021): 944. http://dx.doi.org/10.1364/optica.421257.

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45

Ghosh, Anjan K. "Binary vector multiplications with nonlinear optical interfaces." Applied Optics 26, no. 16 (1987): 3195. http://dx.doi.org/10.1364/ao.26.003195.

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46

AlGarni, Sabah E., and A. F. Qasrawi. "Nonlinear optical performance of CdO/InSe Interfaces." Physica Scripta 95, no. 6 (2020): 065801. http://dx.doi.org/10.1088/1402-4896/ab7c78.

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47

Meyer, C. "Nonlinear optical spectroscopy of Si–heterostructure interfaces." Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures 14, no. 4 (1996): 3107. http://dx.doi.org/10.1116/1.589071.

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Kawashima, Koichiro, Morimasa Murase, Ryuzo Yamada, Masamichi Matsushima, Mituyoshi Uematsu, and Fumio Fujita. "Nonlinear ultrasonic imaging of imperfectly bonded interfaces." Ultrasonics 44 (December 2006): e1329-e1333. http://dx.doi.org/10.1016/j.ultras.2006.05.011.

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Shah, Santosh G., and J. M. Chandra Kishen. "Nonlinear fracture properties of concrete–concrete interfaces." Mechanics of Materials 42, no. 10 (2010): 916–31. http://dx.doi.org/10.1016/j.mechmat.2010.08.002.

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Rasing, T. "Nonlinear magneto-optical probing of magnetic interfaces." Applied Physics B: Lasers and Optics 68, no. 3 (1999): 477–84. http://dx.doi.org/10.1007/s003400050652.

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