Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010072
Partha Ghose, Yuri Mirgorod
Micellar aqueous solutions of ionic surfactants have been observed to exhibit proton delocalization (the nuclear quantum effect) and to oscillate between a low density (LDL) and a high-density liquid (HDL) state of water at a fixed temperature. It is shown in this paper that such phenomena can be explained with the help of the interpolating Schrӧdinger equation proposed by Ghose. The nuclear quantum effect can be described by the tunneling of a harmonic oscillator in a symmetric double-well potential, and an ensemble of harmonic oscillators can model the LDL-HDL oscillations. The thermodynamics of such harmonic oscillators has been worked out showing continuous transitions between the quantum and classical limits.
{"title":"Relationship between Classical and Quantum Mechanics in Micellar Aqueous Solutions of Surfactants","authors":"Partha Ghose, Yuri Mirgorod","doi":"10.3103/S1541308X24010072","DOIUrl":"10.3103/S1541308X24010072","url":null,"abstract":"<p>Micellar aqueous solutions of ionic surfactants have been observed to exhibit proton delocalization (the nuclear quantum effect) and to oscillate between a low density (LDL) and a high-density liquid (HDL) state of water at a fixed temperature. It is shown in this paper that such phenomena can be explained with the help of the interpolating Schrӧdinger equation proposed by Ghose. The nuclear quantum effect can be described by the tunneling of a harmonic oscillator in a symmetric double-well potential, and an ensemble of harmonic oscillators can model the LDL-HDL oscillations. The thermodynamics of such harmonic oscillators has been worked out showing continuous transitions between the quantum and classical limits.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"34 - 42"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010059
N. A. Kutuzov, A. A. Rodionov, A. V. Stulenkov
We propose methods for estimation of the number of the sources and their localization in complex mechanical systems. These methods are based on the matching vibrational field obtained using finite element modeling with the measured field from vibration sensors. A modification of the MUSIC (Multiple Signal Classification) algorithm, which is often employed in direction-of-arrival estimation of wavefield sources, is effectively used to localize several simultaneously operating sources of vibration. Numerical simulation and experimental testing in mechanical systems showed the superior efficiency of the proposed method in comparison with the methods previously used to solve similar problems.
{"title":"Localization of Multiple Vibration Sources Using a Modified MUSIC Algorithm","authors":"N. A. Kutuzov, A. A. Rodionov, A. V. Stulenkov","doi":"10.3103/S1541308X24010059","DOIUrl":"10.3103/S1541308X24010059","url":null,"abstract":"<p>We propose methods for estimation of the number of the sources and their localization in complex mechanical systems. These methods are based on the matching vibrational field obtained using finite element modeling with the measured field from vibration sensors. A modification of the MUSIC (Multiple Signal Classification) algorithm, which is often employed in direction-of-arrival estimation of wavefield sources, is effectively used to localize several simultaneously operating sources of vibration. Numerical simulation and experimental testing in mechanical systems showed the superior efficiency of the proposed method in comparison with the methods previously used to solve similar problems.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"56 - 66"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010096
V. V. Strelkov
The harmonic phase dependence on the laser field intensity is one of the key properties of high-harmonic generation (HHG) in intense laser field. We have studied this dependence both analytically and numerically. Our method, in contrast to other approaches, does not use any phenomenological parameters. We suggest an analytical equation describing the dependence of the harmonic phase on the laser intensity. Analytical results agree with the results of numerical integration of the 3D time-dependent Schrödinger equation (TDSE) for a model one-electron atom in external laser field. We compare the analytical and numerical results obtained for two different fundamental wavelengths and various fundamental intensities. The investigated dependence of the harmonic phase leads to curved harmonic wavefront in the case of generation in the laser beam focus. We suggest an equation for this curvature, whose solution agrees well with the numerical results. Finally, we present an equation for the radius of curvature of the harmonic wavefront generated at some distance from the focus of the generating beam.
{"title":"Phase Properties of High Harmonics and Spatial Structure of the Harmonic Beam","authors":"V. V. Strelkov","doi":"10.3103/S1541308X24010096","DOIUrl":"10.3103/S1541308X24010096","url":null,"abstract":"<p>The harmonic phase dependence on the laser field intensity is one of the key properties of high-harmonic generation (HHG) in intense laser field. We have studied this dependence both analytically and numerically. Our method, in contrast to other approaches, does not use any phenomenological parameters. We suggest an analytical equation describing the dependence of the harmonic phase on the laser intensity. Analytical results agree with the results of numerical integration of the 3D time-dependent Schrödinger equation (TDSE) for a model one-electron atom in external laser field. We compare the analytical and numerical results obtained for two different fundamental wavelengths and various fundamental intensities. The investigated dependence of the harmonic phase leads to curved harmonic wavefront in the case of generation in the laser beam focus. We suggest an equation for this curvature, whose solution agrees well with the numerical results. Finally, we present an equation for the radius of curvature of the harmonic wavefront generated at some distance from the focus of the generating beam.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"27 - 33"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010060
V. M. Marchenko
The spectra and kinetics of selective and continuum thermodynamically equilibrium emission of electromagnetic radiation from Er2O3 microcrystals and a ruby single crystal in the visible and near-IR spectral regions under laser–thermal excitation by electric-discharge CO2 lasers at a wavelength λ = 10.6 µm in the cw and pulsed modes have been experimentally investigated. The effect of the delay of continuum emission fronts and intensity peaks relative to laser pulses is explained by the difference in the temperatures of the heated layer and electromagnetic radiation. The delay time of the electromagnetic emission maximum is the characteristic time for establishing thermal equilibrium.
{"title":"Effect of the Delay of Thermal Emission Fronts upon Pulsed Laser–Thermal Excitation of Er2O3 and Ruby","authors":"V. M. Marchenko","doi":"10.3103/S1541308X24010060","DOIUrl":"10.3103/S1541308X24010060","url":null,"abstract":"<p>The spectra and kinetics of selective and continuum thermodynamically equilibrium emission of electromagnetic radiation from Er<sub>2</sub>O<sub>3</sub> microcrystals and a ruby single crystal in the visible and near-IR spectral regions under laser–thermal excitation by electric-discharge CO<sub>2</sub> lasers at a wavelength λ = 10.6 µm in the cw and pulsed modes have been experimentally investigated. The effect of the delay of continuum emission fronts and intensity peaks relative to laser pulses is explained by the difference in the temperatures of the heated layer and electromagnetic radiation. The delay time of the electromagnetic emission maximum is the characteristic time for establishing thermal equilibrium.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"9 - 14"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010047
M. El Ghafiani, M. Elaouni, S. Khattou, Y. Rezzouk, M. Amrani, O. Marbouh, M. Boutghatin, A. Talbi, E. H. El Boudouti, B. Djafari-Rouhani
We demonstrate a novel approach to inversely design one-dimensional (1D) photonic stubbed systems with targeted topological properties by leveraging the power of deep learning. The process involves developing a data-driven model to accurately predict the geometric parameters of the photonic system based on a label vector that encodes the targeted topological properties. A tandem network comprising an inverse network connected to a pre-trained forward network is trained to efficiently learn the intricate relationship between the system’s topological properties and the corresponding geometry. After training, the model is shown to effectively perform the inverse design task. The study’s outcomes give new perspectives for the design of topological photonic systems.
{"title":"Inverse Design of One-Dimensional Topological Photonic Systems Using Deep Learning","authors":"M. El Ghafiani, M. Elaouni, S. Khattou, Y. Rezzouk, M. Amrani, O. Marbouh, M. Boutghatin, A. Talbi, E. H. El Boudouti, B. Djafari-Rouhani","doi":"10.3103/S1541308X24010047","DOIUrl":"10.3103/S1541308X24010047","url":null,"abstract":"<p>We demonstrate a novel approach to inversely design one-dimensional (1D) photonic stubbed systems with targeted topological properties by leveraging the power of deep learning. The process involves developing a data-driven model to accurately predict the geometric parameters of the photonic system based on a label vector that encodes the targeted topological properties. A tandem network comprising an inverse network connected to a pre-trained forward network is trained to efficiently learn the intricate relationship between the system’s topological properties and the corresponding geometry. After training, the model is shown to effectively perform the inverse design task. The study’s outcomes give new perspectives for the design of topological photonic systems.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"48 - 55"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010023
K. K. Ashikkalieva, V. V. Kononenko, N. R. Arutyunyan, E. V. Zavedeev, E. V. Akhlyustina, A. L. Vasiliev, V. I. Konov
Irradiation of carbon-containing liquids by ultrashort laser pulses makes it possible to synthesize linear carbon chains (polyynes), which are of great practical interest for optics and electronics. To obtain homogeneous suspensions of polyynes, it is important to study the stability of synthesized structures and search for efficient methods of separating polyynes from laser processing byproducts. In this study polyynes were synthesized using irradiation of graphite suspensions in ethanol by a picosecond laser source (τ = 10 ps, f = 10 kHz, λ = 1064 nm). The processed suspensions contained polyynes of different length (C8H2–C16H2) and some other carbon components. The stability of polyynes was investigated, and a systematic comparison of the results of separating polyynes from other components of irradiated suspensions using filtering, sedimentation, and centrifugation was performed. The optical properties of synthesized polyynes were investigated by optical spectroscopy. The laser processing byproducts were studied using transmission electron microscopy.
{"title":"Separation Methods of Laser-Induced Carbon Chains in Graphite-Ethanol Suspensions","authors":"K. K. Ashikkalieva, V. V. Kononenko, N. R. Arutyunyan, E. V. Zavedeev, E. V. Akhlyustina, A. L. Vasiliev, V. I. Konov","doi":"10.3103/S1541308X24010023","DOIUrl":"10.3103/S1541308X24010023","url":null,"abstract":"<p>Irradiation of carbon-containing liquids by ultrashort laser pulses makes it possible to synthesize linear carbon chains (polyynes), which are of great practical interest for optics and electronics. To obtain homogeneous suspensions of polyynes, it is important to study the stability of synthesized structures and search for efficient methods of separating polyynes from laser processing byproducts. In this study polyynes were synthesized using irradiation of graphite suspensions in ethanol by a picosecond laser source (τ = 10 ps, <i>f</i> = 10 kHz, λ = 1064 nm). The processed suspensions contained polyynes of different length (C<sub>8</sub>H<sub>2</sub>–C<sub>16</sub>H<sub>2</sub>) and some other carbon components. The stability of polyynes was investigated, and a systematic comparison of the results of separating polyynes from other components of irradiated suspensions using filtering, sedimentation, and centrifugation was performed. The optical properties of synthesized polyynes were investigated by optical spectroscopy. The laser processing byproducts were studied using transmission electron microscopy.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"1 - 8"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.3103/S1541308X24010011
L. A. Apresyan, T. V. Vlasova, V. I. Krasovskii
Consideration is given to various forms of energy balance relations that describe the influence of the scatterer on radiation of given currents and are connected with the classical description of the Purcell factor and with the optical theorem. It is shown that these relations hold not only integrally but also locally, i.e., for integrands. A transition is described from the ordinary integral form of the scattering problem (of the type of the Lippmann–Schwinger equation) to the system of two equations for the Hermitian and anti-Hermitian parts of the scattering T-operator, so that for the former the diagonal matrix element corresponding to an arbitrary incident wave directly gives the general form of the optical theorem. A particular case is also described, which concerns nonradiating currents in the absence of the scatterer with their radiation loss being only due to the presence of a scatterer.
摘要 研究了各种形式的能量平衡关系,这些关系描述了散射体对给定电流辐射的影响,并与珀塞尔因子的经典描述和光学定理相关联。结果表明,这些关系不仅在积分上成立,而且在局部(即积分)上也成立。论文描述了从散射问题的普通积分形式(利普曼-施温格方程的类型)到散射 T 操作符的赫米特和反赫米特部分的两个方程系统的过渡,因此对于前者,对应于任意入射波的对角矩阵元素直接给出了光学定理的一般形式。还描述了一种特殊情况,即在没有散射体的情况下,非辐射电流的辐射损耗仅仅是由于散射体的存在。
{"title":"On Local and Integral Forms of Energy Conservation Laws in the Scattering Theory","authors":"L. A. Apresyan, T. V. Vlasova, V. I. Krasovskii","doi":"10.3103/S1541308X24010011","DOIUrl":"10.3103/S1541308X24010011","url":null,"abstract":"<p>Consideration is given to various forms of energy balance relations that describe the influence of the scatterer on radiation of given currents and are connected with the classical description of the Purcell factor and with the optical theorem. It is shown that these relations hold not only integrally but also locally, i.e., for integrands. A transition is described from the ordinary integral form of the scattering problem (of the type of the Lippmann–Schwinger equation) to the system of two equations for the Hermitian and anti-Hermitian parts of the scattering T-operator, so that for the former the diagonal matrix element corresponding to an arbitrary incident wave directly gives the general form of the optical theorem. A particular case is also described, which concerns nonradiating currents in the absence of the scatterer with their radiation loss being only due to the presence of a scatterer.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"19 - 26"},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140155147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-28DOI: 10.3103/S1541308X23060079
A. I. Magunov, V. V. Strelkov, S. N. Yudin
The spectrum of high-order harmonics generated in interaction of an intense femtosecond laser pulse with a singly charged gallium ion is theoretically investigated. The results of the calculations reveal enhancement of odd harmonics that are in resonance with the frequency of the transition from the ground state to the odd autoionizing state 3d94s24p 1P1 and harmonics that correspond to the multiphoton resonance with the even autoionizing states 3d104p5p 1S0 and 1D2 (dark states) and are one laser frequency away from them. The effect of resonant enhancement of harmonics was earlier observed in experiments on gallium targets with a plasma plume.
{"title":"Generation of High-Order Harmonics by Gallium Ions in Intense Laser Pulse","authors":"A. I. Magunov, V. V. Strelkov, S. N. Yudin","doi":"10.3103/S1541308X23060079","DOIUrl":"10.3103/S1541308X23060079","url":null,"abstract":"<p>The spectrum of high-order harmonics generated in interaction of an intense femtosecond laser pulse with a singly charged gallium ion is theoretically investigated. The results of the calculations reveal enhancement of odd harmonics that are in resonance with the frequency of the transition from the ground state to the odd autoionizing state 3d<sup>9</sup>4s<sup>2</sup>4p <sup>1</sup>P<sub>1</sub> and harmonics that correspond to the multiphoton resonance with the even autoionizing states 3d<sup>10</sup>4p5p <sup>1</sup>S<sub>0</sub> and <sup>1</sup>D<sub>2</sub> (dark states) and are one laser frequency away from them. The effect of resonant enhancement of harmonics was earlier observed in experiments on gallium targets with a plasma plume.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"31 6","pages":"418 - 426"},"PeriodicalIF":1.1,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-28DOI: 10.3103/S1541308X23060067
A. A. Lunkov, M. A. Shermeneva
The possibility of observing the mode coupling effect, caused by a local inhomogeneity, is studied for a long-range stationary acoustic track between a single sound source and a single receiver in a shallow-water waveguide. This effect manifests itself in the form of oscillations of normal mode amplitudes in the frequency domain and can be used to localize inhomogeneities. An analytical formula linking the oscillation period of the first-mode amplitude with the distance to the inhomogeneity is proposed. Numerical experiments with a model inhomogeneity in the form of a local bottom rise show that the frequency dependence of the mode amplitude can be selected not only at a vertical line array but also at a single receiver, with the use of warping transform. In this case, the receiver depth should correspond to zero of the second-mode vertical profile. The dependence of the mode amplitude oscillations on the local inhomogeneity size is discussed.
{"title":"Application of Warping Transform for the Analysis of the Acoustic Mode Coupling due to a Local Inhomogeneity in Shallow Water","authors":"A. A. Lunkov, M. A. Shermeneva","doi":"10.3103/S1541308X23060067","DOIUrl":"10.3103/S1541308X23060067","url":null,"abstract":"<p>The possibility of observing the mode coupling effect, caused by a local inhomogeneity, is studied for a long-range stationary acoustic track between a single sound source and a single receiver in a shallow-water waveguide. This effect manifests itself in the form of oscillations of normal mode amplitudes in the frequency domain and can be used to localize inhomogeneities. An analytical formula linking the oscillation period of the first-mode amplitude with the distance to the inhomogeneity is proposed. Numerical experiments with a model inhomogeneity in the form of a local bottom rise show that the frequency dependence of the mode amplitude can be selected not only at a vertical line array but also at a single receiver, with the use of warping transform. In this case, the receiver depth should correspond to zero of the second-mode vertical profile. The dependence of the mode amplitude oscillations on the local inhomogeneity size is discussed.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"31 6","pages":"396 - 405"},"PeriodicalIF":1.1,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139051229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-28DOI: 10.3103/S1541308X23060055
G. N. Kuznetsov, A. N. Stepanov
The concept of a phase invariant (PI), introduced in our previous studies, is used to describe the sound-field phase distribution in an underwater waveguide in the distance–frequency plane. This concept is similar to the classical waveguide Chuprov invariant (ChI), which specifies the slopes of constant-field intensity lines in the same plane. The PIs of vector–scalar fields excited by multipole sources are investigated for the first time in this paper. It is shown that, as well as in the case of a monopole source, PI is a stable characteristic of a sound field. It is demonstrated by numerical simulation that the PI value in shallow water barely depends on the source directional pattern, the path length, the frequency of emitted signal, and the waveguide characteristics. Significant deviations of PI from its basic value (–1) are observed only in the vicinity of interference minima (in the phase-dislocation zones).
摘要 我们在之前的研究中引入了相位不变量(PI)的概念,用于描述水下波导中距离-频率平面上的声场相位分布。这一概念类似于经典的波导丘普洛夫不变量(ChI),它规定了同一平面内恒定场强线的斜率。本文首次研究了多极源激发的矢量-标量场的 PI。结果表明,与单极声源的情况一样,PI 是声场的稳定特性。数值模拟证明,浅水中的 PI 值几乎不取决于声源方向模式、路径长度、发射信号频率和波导特性。只有在干扰极小值附近(相位错位区)才会观察到 PI 与其基本值(-1)有明显偏差。
{"title":"Phase Invariants of Vector–Scalar Fields Excited in the Shallow Sea by Multipole Sources","authors":"G. N. Kuznetsov, A. N. Stepanov","doi":"10.3103/S1541308X23060055","DOIUrl":"10.3103/S1541308X23060055","url":null,"abstract":"<p>The concept of a phase invariant (PI), introduced in our previous studies, is used to describe the sound-field phase distribution in an underwater waveguide in the distance–frequency plane. This concept is similar to the classical waveguide Chuprov invariant (ChI), which specifies the slopes of constant-field intensity lines in the same plane. The PIs of vector–scalar fields excited by multipole sources are investigated for the first time in this paper. It is shown that, as well as in the case of a monopole source, PI is a stable characteristic of a sound field. It is demonstrated by numerical simulation that the PI value in shallow water barely depends on the source directional pattern, the path length, the frequency of emitted signal, and the waveguide characteristics. Significant deviations of PI from its basic value (–1) are observed only in the vicinity of interference minima (in the phase-dislocation zones).</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"31 6","pages":"371 - 382"},"PeriodicalIF":1.1,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139051627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}