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PROGRESS IN THE STUDY OF DECAMETER-WAVELENGTH SOLAR RADIO EMISSION WITH UKRAINIAN RADIO TELESCOPES. Part 1. (Invited paper) 用乌克兰射电望远镜研究十米波长太阳射电发射的进展。第1部分。(邀请报告)
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.02.095
A. Stanislavsky, A. Koval, I. Bubnov, A. Brazhenko
Subject and Purpose. Results are presented of the solar corona investigations performed with the world famous Ukrainian radio telescopes. The work has been aimed at offering a consistent review of recent achievements in observations of a variety of low-frequency radio emissions from the Sun. Methods and Methodology. The studies of the quiet (thermal) and sporadic (burst-like) radio emissions from the Sun have been car- ried out with the decameter-wavelength radio telescopes UTR-2, GURT and URAN-2. Specific features of the low-frequency solar radio emissions from a variety of sources are presented, with characterization of the optimized techniques that were applied in each case for evaluating physical parameters of the corona in the areas of decameter-wavelength radio wave generation. Results. The analysis of temporal, frequency and spatial characteristics of solar radio emissions has allowed suggesting a number of models for the coronal electron density distribution, and evaluating magnetic field strengths in the corona. Also, our experimental results have proven to be consistent with the observational data obtained in different frequency ranges and with the use of both ground based and space-borne instruments. Conclusions. The radio observations performed with Ukrainian radio telescopes have permitted studying, with high temporal, fre- quency and spatial resolutions, solar radio frequency emissions from various localized sources. Along with the large effective area and high sensitivity of the antennas, this permits application of a wide range of methods and tools aimed at detecting and analyzing solar bursts, of both strong and weak intensity, against the background of terrestrial interference of natural or artificial origin
主题和目的。本文介绍了世界著名的乌克兰射电望远镜对日冕的观测结果。这项工作的目的是对最近在观测太阳各种低频无线电发射方面取得的成就进行一致的回顾。方法和方法论。利用十米波长射电望远镜UTR-2、GURT和URAN-2,对来自太阳的安静(热)和零星(爆发样)射电发射进行了研究。介绍了来自各种来源的低频太阳射电辐射的具体特征,并描述了在每种情况下用于评估日冕在十米波长无线电波产生领域的物理参数的优化技术。结果。通过对太阳射电辐射的时间、频率和空间特征的分析,提出了许多日冕电子密度分布的模型,并对日冕中的磁场强度进行了评估。此外,我们的实验结果已证明与在不同频率范围内以及使用地面和空间仪器获得的观测数据是一致的。结论。利用乌克兰射电望远镜进行的射电观测,使人们能够以较高的时间、频率和空间分辨率研究各种局部来源的太阳射电频率发射。随着天线的大有效面积和高灵敏度,这允许应用范围广泛的方法和工具,旨在探测和分析太阳爆发,强弱强度,在自然或人为地面干扰的背景下
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引用次数: 0
NEAR-ZONE IONOSPHERIC DISTURBANCES CAUSED BY EXPLOSIVE ERUPTION OF TONGA VOLCANO ON 15 JANUARY 2022 2022年1月15日汤加火山爆发引起的近区域电离层扰动
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.03.212
L. Chernogor, Yu. Mylovanov
Subject and Purpose. The thermal energy of the Tonga volcano reached 3.9 . 1018 J, its power amounted to 9.1 . 1013 W. The energy and power of the blast waves approached (6.7...7.5) . 1013 J and 1011 W, respectively. Ionospheric effects caused by the explosive eruption of the Tonga volcano on January 15, 2022 have received due attention. It was established that the ionospheric disturbances spread over global distances, with the greatest disturbances occurring in the near zone. The aim of the present paper is to describe aperiodic and quasi-periodic disturbances started by the Tonga volcano explosion and occurring in the near ionospheric zone. Methods and Methodology. To detect ionospheric disturbances generated by the volcanic eruption, temporal variations of the total electron content (TEC) in a vertical column in the ionosphere were analyzed. The total error of the TEC estimation did not exceed 0.1 TECU. Results. The quantitative characteristics of ionospheric disturbances caused by the explosive eruption of the Tonga volcano have been obtained. It was proved that the appearance of the ionospheric "hole" was caused directly by the volcanic explosion. With dis- tance away from the volcano, the TEC deficit in absolute values decreased from ~10 to ~2.5 TECU. As that was happening, the time taken to form the ionospheric "hole" increased from ~20 to ~100 min. Three groups of disturbances were observed. One group picks out disturbances having an N-shaped profile and caused by a blast wave with a speed exceeding ~1 000 m/s. Another group includes disturbances with a propagation speed within ~340...620 m/s, which is characteristic of atmospheric gravity waves at ionospheric heights. The last group is specified by the disturbance propagation speed within ~110 to 320 m/s. The disturbances of the kind can be generated by tsunamis, Lamb waves and atmospheric gravity waves. The wave disturbance periods varied within ~ 5 to 20 min, the disturbance amplitudes were within 0.5...1.0 TECU. Conclusions. It has been proven that aperiodic and quasi-periodic ionospheric disturbances in the near zone were caused directly by the explosion of the Tonga volcano.
主题和目的。汤加火山的热能达到3.9。1018 J,其功率为9.1。1013 W。冲击波的能量和威力接近(6.7…7.5)。1013j和1011w。2022年1月15日汤加火山爆发引起的电离层效应受到了应有的关注。结果表明,电离层扰动在全球范围内传播,近区扰动最大。本文的目的是描述由汤加火山爆发开始并发生在电离层附近的非周期和准周期扰动。方法和方法论。为了探测火山喷发引起的电离层扰动,分析了电离层垂直柱中总电子含量(TEC)的时间变化。TEC估计的总误差不超过0.1 TECU。结果。得到了汤加火山爆发引起的电离层扰动的定量特征。证明了电离层“洞”的出现是由火山爆发直接引起的。随着离火山距离的增加,TEC损失绝对值从~10 TECU减少到~2.5 TECU。当这种情况发生时,形成电离层“洞”所需的时间从~20分钟增加到~100分钟。一组选择具有n形轮廓的扰动,并且由速度超过~ 1000m /s的冲击波引起。另一类包括传播速度在~340…620m /s,这是电离层高度大气重力波的特征。最后一组以扰动传播速度在~110 ~ 320 m/s范围内指定。这种扰动可以由海啸、兰姆波和大气重力波产生。扰动周期在~ 5 ~ 20min之间,扰动幅度在0.5 ~ 1.0 TECU之间。结论。已经证明,近区的非周期和准周期电离层扰动是由汤加火山爆发直接引起的。
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引用次数: 0
Observations of decameter carbon radio recombination lines in several galactic directions. Part 1. Experimental study 在几个星系方向的十米碳无线电重组线的观测。第1部分。实验研究
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.03.201
Y. Vasylkivskyi, O. Konovalenko, S. Stepkin
Subject and Purpose. Since decameter carbon radio recombination lines (RRLs) were detected for the first time more than forty years ago, they have significantly extended our knowledge of the physics, kinematics and chemistry of the cold rarefied interstellar medium (ISM). A large number of these lines have been observed towards various Galactic radio sources. The present paper describes our studies of decameter carbon RRLs in such Galactic directions as the sight-lines to the S140 emission nebula and to the large volume of cold neutral hydrogen known as the GSH 139-03-69 super shell. Methods and Methodology. Observations within a 1-MHz frequency band centered at 26 MHz were performed using the UTR-2 radio telescope and a multi-channel digital correlator. The UTR-2 is still the world largest and the most sensitive low-frequency radio telescope. Results.We report the detection of decameter carbon RRL series C627α – C637α from the medium lying towards the S140 nebula. The extents of RRL forming regions have been estimated. It is suggested that RRLs in the S140 direction are formed in the local ISM lying along the line of sight. The RRL-forming region is probably associated with omnipresent diffuse neutral HI gas in the Galactic plane rather than with S140 nebula itself. Toward the GSH 139-03-69 super shell, decameter RRLs have been detected as well. Likewise, they apparently originate from the local medium lying along the sight-line. Yet, the spectrum contains a RRL component corresponding to the absorption of the cold gas of the GSH 139-03-69 itself in the ISM. Conclusions. The obtained results indicate great possibilities of decameter carbon RRLs not only for cold ISM probing but also for making a good auxiliary tool for studying large complexes of extremely cold hydrogen HI in the Galaxy.
主题和目的。自从十米碳无线电复合线(RRLs)在四十多年前首次被探测到以来,它们极大地扩展了我们对冷稀薄星际介质(ISM)的物理、运动学和化学知识。大量这样的谱线已经被观测到朝向各种银河系射电源。本文描述了我们在银河方向上的十米碳RRLs的研究,如S140发射星云和被称为GSH 139-03-69超级壳的大体积冷中性氢的视线。方法和方法论。利用UTR-2射电望远镜和多通道数字相关器进行了以26 MHz为中心的1 MHz频段内的观测。UTR-2仍然是世界上最大和最灵敏的低频射电望远镜。结果。我们报道了从S140星云方向的介质中探测到十米碳RRL系列C627α - C637α。估计了RRL形成区的范围。认为S140方向的RRLs是在瞄准线上的局部ISM上形成的。rrl形成区域可能与银道面无所不在的弥漫中性HI气体有关,而不是与S140星云本身有关。在GSH 139-03-69超级壳上,也发现了十米的RRLs。同样,它们显然是来自视线附近的局部介质。然而,光谱中包含一个RRL成分,对应于ISM中GSH 139-03-69本身的冷气体的吸收。结论。所获得的结果表明,十米碳RRLs不仅有可能用于冷ISM探测,而且可以作为研究银河系中极冷氢HI的大型配合物的良好辅助工具。
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引用次数: 0
A BROADBAND PATCH ANTENNA BASED ON A PLANAR UNCLOSED ANNULAR RADIATOR 一种基于平面非封闭环形辐射体的宽带贴片天线
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.02.158
S. Pogarsky, D. Mayboroda
Subject and Purpose. Results are presented of numerical simulation of a patch antenna in the form of a planar unclosed annular radiator placed above an earthed plane. The work has been aimed at optimizing the key parameters of the antenna, like the degree of its matching with external circuits, achievable through proper selection of the excitation method and variation of the substrate permittivity, antenna gain, and power and polarization characteristics. Methods and Methodology. The antenna has been designed as an unclosed annular strip line. The angular width of the gap in the ring was varied during the optimization process. The antenna is excited via a segment of a coplanar line. The numerical simulation was performed for the unclosed resonator model, with all the limitations imposed on the model in the framework of the finite element method. The performance characteristics of the antenna have been optimized with account of the return loss level, gain magnitude and ellipticity over the given frequency range. Results. Frequency and power characteristics of the patch antenna based on an unclosed annular strip-line radiator have been ana- lyzed and optimized over a broad frequency range. The impact of key parameters of the structure upon its performance characteristics has been established, specifically of the angular width of the gap in the unclosed ring, separation from the ground plane, and dielectric permittivity value in the substrate. The possibility has been demonstrated of generating radiation fields of an elliptical polarization which is rather close to circular. Conclusions. The frequency, spectral and power characteristics studied of a patch antenna built around a planar unclosed annu- lar strip-line radiator above an earthed plane. The numerical modeling was performed within the framework of the finite element method. The principal dependences of the antenna’s electrodynamic performance upon such parameters as geometry, characteristic dimensions and material constants have been condsidered. The results obtained allow suggesting application of such antennas in the capacity of both independent radiators and elements of phased antenna arrays.
主题和目的。本文给出了一种平面非封闭环形辐射体形式的贴片天线的数值模拟结果。通过选择合适的激励方式,改变衬底介电常数、天线增益、功率和极化特性,优化天线的关键参数,如与外部电路的匹配程度。方法和方法论。天线被设计成不闭合的环形带状线。在优化过程中,环隙的角宽度是不同的。天线通过共面线的一段来激励。对非闭合谐振腔模型进行了数值模拟,并在有限元框架下对该模型进行了限制。考虑到天线在给定频率范围内的回波损耗水平、增益幅度和椭圆度,对天线的性能特性进行了优化。结果。在较宽的频率范围内,分析和优化了基于非封闭环形带状线辐射体的贴片天线的频率和功率特性。确定了该结构的关键参数对其性能特性的影响,特别是开合环间隙的角宽度、与地平面的距离以及衬底中的介电常数值。证明了产生近似圆形的椭圆偏振辐射场的可能性。结论。研究了在接地平面上围绕平面不闭合环形带线辐射器的贴片天线的频率、频谱和功率特性。在有限元框架内进行了数值模拟。考虑了天线的电动力性能主要取决于几何形状、特征尺寸和材料常数等参数。所获得的结果表明,这种天线在独立辐射体和相控阵天线单元的容量中的应用。
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引用次数: 0
FRACTAL RADIOPHYSICS. Part 2. FRACTAL AND MULTIFRACTAL ANALYSIS METHODS OF SIGNALS AND PROCESSES 分形放射物理学。第2部分。信号和过程的分形和多重分形分析方法
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.01.005
O. Lazorenko, L. Chernogor
Subject and Purpose. The subject of this paper is to review the principal methods of fractal and multifractal analysis of signals and processes, in combination with a detailed consideration of the algorithms that can provide for a successful practical implementation of the methods described. Methods and Methodology. The results presented concern modeling of both deterministic and stochastic fractal and multifractal signals and processes. The corresponding practical methods of analysis are considered, with discussion of their essential features, advantages and disadvantages, as well as of the problems of application that may exist. Results. Several approaches have been discussed as to categorizing the signals and processes within the notion of fractality. A few tens of models of deterministic and stochastic fractal or multifractal signals and processes have been analyzed in detail. Over twenty methods of monofractal analysis have been analyzed, with identifi cation of their features, advantages or disadvantages, and limits of applicability. The expediency of resorting to complex methods of monofractal analysis has also been discussed. Those methods are not based upon application of fractal analysis techniques alone but rather combine them with linear and nonlinear integral time-frequency transforms. The effectiveness of the ten most popular multifractal analysis techniques has been confirmed, with consideration of their special features, advantages and drawbacks. Conclusion. The mathematical foundations have been presented which underlie modern methods of analysis and modeling of fractal and multifractal signals and processes. The methods discussed may allow revealing a great amount of unique hidden information on the world around us.
主题和目的。本文的主题是回顾信号和过程的分形和多重分形分析的主要方法,结合对算法的详细考虑,可以提供成功的实际实施所描述的方法。方法和方法论。研究结果涉及确定性分形和随机分形以及多重分形信号和过程的建模。考虑了相应的实用分析方法,讨论了它们的基本特点、优缺点以及应用中可能存在的问题。结果。在分形的概念中,讨论了几种分类信号和过程的方法。对几十种确定性和随机分形或多重分形信号和过程的模型进行了详细的分析。对二十多种单分形分析方法进行了分析,指出了它们的特点、优缺点和适用范围。本文还讨论了采用复杂的单分形分析方法的便利性。这些方法不是单独应用分形分析技术,而是将分形分析技术与线性和非线性时频积分变换相结合。考虑到十种最流行的多重分形分析技术的特点、优缺点,对它们的有效性进行了验证。结论。提出了分形和多重分形信号和过程的现代分析和建模方法的数学基础。所讨论的方法可能会揭示我们周围世界中大量独特的隐藏信息。
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引用次数: 0
Stanislavsky, A.A., Koval, A.A., Bubnov, I.N., and Brazhenko, A.I. Progress in the study of decameter-wave- length solar radio emission with Ukrainian radio telescopes. Part 2. (Invited paper) Stanislavsky, a.a., Koval, a.a., Bubnov, i.n.和Brazhenko, A.I.用乌克兰射电望远镜研究十米波长太阳射电发射的进展。第2部分。(邀请报告)
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.03.183
A. Stanislavsky, A. Koval, I. Bubnov, A. Brazhenko
Subject and Purpose. This part of the paper continues presentation of results of the solar radio emission studies performed with Ukrainian radio telescopes over the past 20 years. The importance is stressed of developing adequate instruments and methods for identifying the nature of decameter-wavelength radio emissions from the Sun. Methods and Methodology. The low frequency Ukrainian radio telescopes UTR-2, GURT and URAN-2 have been used in the project along with other ground- and space based instruments in order to achieve a comprehensive understanding of physical conditions in the solar corona. Results. Special methods and tools have been developed for studying radio frequency burst emissions against the background of strong interference. Unique data have been obtained concerning sources of sporadic radio emissions from the Sun, as well as the contribution from wave propagation effects and the impact of the ionosphere on the results of observations. The most significant observational and theoretical results are presented, obtained in the study of solar low frequency emissions over the past 20 years. Solar radio emissions are shown to be efficient sounding signals not for the solar corona alone but for the Earth’s ionosphere as well, which allows identifying its impact on the results of radio astronomy observations. Conclusions. The Ukrainian radio telescopes of the meter and decameter wavebands currently are unrivalled tools for investigating the Universe in the low-frequency range of radio waves. Owing to their advanced characteristics, they make a significant contribution to the progress of world’s solar radio astronomy.
主题和目的。本文的这一部分继续介绍过去20年来用乌克兰射电望远镜进行的太阳射电发射研究的结果。强调必须发展适当的仪器和方法,以确定太阳十米波长无线电发射的性质。方法和方法论。该项目使用了乌克兰低频射电望远镜UTR-2、GURT和URAN-2以及其他地面和空间仪器,以便全面了解太阳日冕的物理条件。结果。研究强干扰背景下的射频突发辐射的特殊方法和工具已经开发出来。关于太阳零星射电发射的来源,以及波传播效应的贡献和电离层对观测结果的影响,已经获得了独特的数据。本文介绍了在过去20年对太阳低频辐射的研究中获得的最重要的观测和理论结果。太阳射电发射被证明不仅是对太阳日冕,而且对地球电离层也是有效的探测信号,这使得确定其对射电天文观测结果的影响成为可能。结论。乌克兰的米和十米波段射电望远镜目前是在无线电波的低频范围内研究宇宙的无与伦比的工具。由于它们的先进性,对世界太阳射电天文学的发展作出了重大贡献。
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引用次数: 0
V. P. SHESTOPALOV AND HIS SCIENTIFIC SCHOOL: FROM QUASISTATICS TO QUASIOPTICS (to mark V.P.'s birth centenary) 舍斯托帕洛夫和他的科学学派:从准静力学到准光学百年诞辰)
Q4 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.15407/rpra28.01.080
P. Melezhik, A. Kirilenko, O. Kostenko, S. Masalov
The paper is dedicated to the memory of V.P. Shestopalov, an outstanding scientist known for his great contributions to radio physics, electronics, theoretical and mathematical physics. While being a holder of many formal academic degrees and titles, like PhD, DSc (Phys.-Math.), Professor, and Fellow Member of the Academy of Sciences, he was particularly honored as the founder of a scientific school vigorously developing diff raction theory and diffractional electronics. Th at school has been associated with the O.Ya. Usikov Institute for Radio Physics and Electronics where Dr. Shestopalov was Director till 1993. Today, we are marking the 100-th anniversary of Victor P. Shestopalov.
这篇论文是为了纪念V.P.舍斯托帕洛夫,一位杰出的科学家,他在无线电物理学、电子学、理论和数学物理学方面做出了巨大贡献。他拥有许多正式的学位和头衔,如博士,DSc(物理数学),教授和科学院院士,他特别荣幸地成为一个科学学派的创始人,大力发展衍射理论和衍射电子学。这所学校一直与oya有联系。1993年之前,Shestopalov博士担任Usikov无线电物理和电子学研究所所长。今天,我们纪念维克多·p·舍斯托帕洛夫诞辰100周年。
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引用次数: 0
OPERATOR METHOD IN DIFFRACTION PROBLEM OF WAVES OF CIRCULAR WAVEGUIDE BY THE ANNULAR DISCONTINUITIES 环形不连续圆波导波衍射问题的算子方法
Q4 Physics and Astronomy Pub Date : 2022-06-01 DOI: 10.15407/rpra27.01.005
M. Kaliberda, L. Lytvynenko, S. Pogarsky
Purpose. Diff raction problem of the H11 and E11 waves of circular waveguide by the fi nite and semi-infi nite system of similar discontinuities is considered. Four types of discontinuities are considered: iris, disk, ring, annular slot. Th e distance between irregularities is the same. Th e waveguide is fi lled by the dielectric with losses. Design/methodology/approach. To solve the problem we chose the operator method. While so-called key problem, the diff raction problem by a single discontinuity, is solved by the method of moments. The field in the domain of the obstacle is represented as a series in terms of eigenwaves of infi nite waveguide which cross section coincides with the cross section of discontinuity, with unknown amplitudes. To fi nd the amplitudes we obtain the infi nite system of equations, which is solved by the reduction. As a result, the transmission and refl ection operators of a key-problem are obtained. The properties of fi nite sequence are determined from the operator equations relatively amplitudes of the scattered field. To write these equations the iterative procedure is used. The properties of the structure, which consists of N discontinuities are obtained under assumption that the properties of the structure, which consists of N – 1 discontinuity are known. The reflection operator of the semi-infi nite system is obtained from known non-linear operator equation of the second kind. Findings. The systems of equations for every single discontinuity are obtained. The operator equations relatively amplitudes of the scattered fields for fi nite system are presented. With the help of the created model the dependences of the transmission, refl ection coeffi cients of the H11 wave as well as transformation coeffi cients of the H11 to E11 wave of the circular waveguide on the wavenumber, geometrical and material parameters for fi nite and semi-infi nite structures are studied. The comparison of the results obtained by presented method with the results obtained in HFSS is made. Conclusions. With the use of the operator method the scattering model of the H1n and E1n eigenwaves by the system of annular discontinuities of zero thickness in a circular waveguide is built. Th e study of the scattering characteristics on the parameters is made. The coincidence of the behavior of the curves obtained by the presented method with those obtained in HFSS allows us to draw a conclusion about the correctness of the results. Th e results can be used during creation of a series of the microwaves and optic devices.
目的。研究了类似不连续点的有限和半无限系统对圆波导中H11和E11波的衍射折射问题。考虑了四种类型的不连续:虹膜,圆盘,环,环形槽。不规则之间的距离是相同的。波导被有损耗的电介质填满。。设计/方法/方法。为了解决这个问题,我们选择了算子法。而所谓的关键问题,即单个不连续的微分问题,则是用矩量法来解决的。障碍物区域内的场被表示为一系列具有未知振幅的无限大波导的本征波,这些本征波的横截面与不连续截面重合。为了求出振幅,我们得到了无限方程组,用约化法求解。得到了一个关键问题的传输和反射算子。有限序列的性质由散射场的相对振幅的算子方程决定。为了写出这些方程,采用了迭代法。在已知由N - 1个不连续结构组成的结构性质的前提下,得到了由N个不连续结构组成的结构的性质。从已知的第二类非线性算子方程得到了半无穷系统的反射算子。发现。得到了每一个不连续点的方程组。给出了有限系统散射场相对振幅的算子方程。利用所建立的模型,研究了圆波导中H11波的透射系数、反射系数以及H11到E11波的变换系数与有限和半无限结构的波数、几何参数和材料参数的关系。并将所提出的方法与HFSS的计算结果进行了比较。结论。利用算符方法建立了零厚度环形不连续系统对H1n和E1n本征波的散射模型。研究了参数对散射特性的影响。用该方法得到的曲线的行为与HFSS得到的曲线的行为一致,从而使我们得出结论,结果是正确的。研究结果可用于一系列微波和光学器件的制造。
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引用次数: 0
AN INTERNAL NONLINEAR RESONANCE IN AN OSCILLATION SYSTEM WITH TWO DEGREES OF FREEDOM 两自由度振动系统的内部非线性共振
Q4 Physics and Astronomy Pub Date : 2022-06-01 DOI: 10.15407/rpra27.01.017
Y. Kornienko, L. V. Stulova, D. Masalov
Subject and Purpose. The paper is concerned with the behavior of a nonlinear dynamic system that has two degrees of freedom and whose joint nonlinearity is established by all the nonlinear coupling between the degrees of freedom. The purpose is to find out if the Krylov—Bogolyubov—Mitropolsky (KBM) method is applicable to a system of partial differential equations. Methods and Methodology. The consideration of the problem is by the Krylov—Bogolyubov—Mitropolsky method in the first approximation. Then the results are treated using numerical methods. Results. An electromechanical system with two degrees of freedom and a known parametric resonance has been studied using the Krylov—Bogolyubov—Mitropolsky method in the first approximation. The phase space of the system has been described. It has been shown that the obtained solution covers an energy periodic transfer between the two degrees of freedom. The difference between the considered oscillation system and its analogs discussed in the literature lies in that the considered circuit is parametrically excited by an internal force rather than external one. In a similar system of two circuits connected through a diode, the coupling includes a linear component. In the system of present concern, the coupling is all-nonlinear. Conclusion. The obtained results are of interest for the research into internal nonlinear resonances between degrees of freedom in an oscillation system that has two degrees of freedom and whose joint nonlinearity is due to all the nonlinear coupling between the degrees of freedom. The considered system can serve a test example in the development of programs implementing the Krylov—Bo- golyubov—Mitropolsky method as applied to an oscillation system with numerous degrees of freedom and a small nonlinearity.
主题和目的。本文研究了一个具有两个自由度的非线性动力系统的行为,该系统的关节非线性是由自由度之间的所有非线性耦合建立的。目的是找出Krylov-Bogolyubov-Mitroposky(KBM)方法是否适用于偏微分方程组。方法和方法。用Krylov-Bogolyubov-Mitroposky方法对该问题进行了一次逼近。然后用数值方法对结果进行处理。后果用Krylov-Bogolyubov-Mitroposky方法对一个具有两个自由度和已知参数共振的机电系统进行了一次近似研究。对系统的相空间进行了描述。已经表明,所获得的解涵盖了两个自由度之间的能量周期性转移。所考虑的振荡系统与其文献中讨论的类似系统之间的区别在于,所考虑的电路是由内力而非外力参数激励的。在通过二极管连接的两个电路的类似系统中,耦合包括线性分量。在目前关注的系统中,耦合都是非线性的。结论所获得的结果对于研究具有两个自由度的振荡系统中自由度之间的内部非线性共振是有意义的,该振荡系统的联合非线性是由于自由度之间所有的非线性耦合引起的。所考虑的系统可以作为开发Krylov-Bo-golyubov-Mitropolsky方法应用于具有多自由度和小非线性的振荡系统的程序的测试示例。
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引用次数: 0
THE RESONANT SYSTEM OF A SUB-TERAHERTZ LOCAL OSCILLATOR 亚太赫兹本地振荡器的谐振系统
Q4 Physics and Astronomy Pub Date : 2022-06-01 DOI: 10.15407/rpra27.01.064
I. Kuzmichev, B. I. Muzychishin, А. Y. Popkov, Аlexander V. May, A. May
Purpose. The excitation efficiency is investigated of the first higher-order axially asymmetric oscillation mode (TEM10q) excited in a hemispherical open resonator (OR) at the frequencies of the fundamental and second-order harmonics of the Gunn diode in the 4-mm and 2-mm wavelength ranges. The hemispherical resonator is coupled to its input waveguide via aperture-type coupling elements. The diameter 2a of the OR mirror apertures is 38 mm, while the curvature radius of the spherical reflector is R = 39 mm and the normalized distance between the mirrors is L/R = 0.593. Two aperture coupling elements of dimensions a× b = 6.9 × 9.6 mm are used to excite the OR. They permit controlling separately the functions of field-to-field matching (modes in the resonator and in the waveguide) and volume- to-volume coupling of the structural elements (the resonator and the waveguide). They are located at the center of the planar mirror. The field matching is determined by the geometric dimensions of the coupling elements, whereas the coupling matching is determined by the period of the one-dimensional E-polarized grating in their apertures. The Gunn diodes are used as generators, operating at the frequencies of the fundamental (75 GHz) andthe second-order (150 GHz) harmonics. The excitation efficiency of the TEM1011 oscillation in the OR of the geometry specified here, using aperture-type coupling elements as described, is 81.5%. Design/methodology/approach. The excitation efficiency of higher-order oscillation modes ТЕМ10q in the OR being driven by an incident ТЕ10 mode that arrives via two rectangular guides, is evalua-ted using the antenna surface utilization factor. The reflection coefficient from the OR and the loaded Q-factor are estimated in the familiar technique of partial reflection coefficients summation. Findings. As has been shown, in an OR of parameters 2а= 38 mm, R= 78 mm, and L/R= 0.287 TEM1022 oscillations are excited at the frequency of the Gunn diode’s second-order harmonic (i.e., 150 GHz) with an efficiency of 84%. In that same resonator, the excitation efficiency of the TEM1011 mode at the fundamental Gunn diode’s harmonic (frequency of 75 GHz) equals 54%. By placing one-dimensional (E-polarized) wire gratings in the aperture of the coupling elements it proves possible to match the resonator with the waveguide. It has been found that in the case of a l = 0.2 mm spatial period of the wire grating and matched excitation of the resonator at f = 150 GHz (i.e. Г150 = 0), the reflection coefficient Г75 from the OR at f = 75 GHz equals 0.637. Upon excitation in the OR of oscillations in the TEM1022 mode, the total loss at f = 150 GHz is –1.23 dB. With TEM1011 oscillations excited in the same resonator at a frequency of 75 GHz, the total losses increase up to –5.4 dB. Conclusions. The analysis has shown that an OR implementing the proposed method of excitation of higher-order axially asymmetric for constructing a subterahertz range local oscillator.
意图研究了在半球形开放谐振器(OR)中,在4毫米和2毫米波长范围内的耿氏二极管基波和二次谐波频率下激发的第一高阶轴向不对称振荡模式(TEM10q)的激发效率。半球形谐振器通过孔径型耦合元件耦合到其输入波导。OR反射镜孔径的直径2a为38mm,而球面反射器的曲率半径为R=39mm,反射镜之间的归一化距离为L/R=0.593。两个尺寸为a×b=6.9×9.6mm的孔径耦合元件用于激发OR。它们允许分别控制结构元件(谐振器和波导)的场-场匹配(谐振器中的模式和波导中的模式)和体积-体积耦合的功能。它们位于平面镜的中心。场匹配由耦合元件的几何尺寸决定,而耦合匹配由一维E偏振光栅在其孔径中的周期决定。Gunn二极管用作发电机,工作在基波(75 GHz)和二阶(150 GHz)谐波的频率下。使用如上所述的孔径型耦合元件,在此处指定的几何形状的OR中TEM1011振荡的激发效率为81.5%。设计/方法/方法。OR中由通过两个矩形波导到达的入射ТА10模式驱动的高阶振荡模式ТМ10q的激励效率使用天线表面利用系数进行评估。根据OR和加载的Q因子的反射系数是在熟悉的部分反射系数求和技术中估计的。调查结果。如前所述,在参数为2а=38 mm、R=78 mm和L/R=0.287的OR中,TEM1022振荡以耿氏二极管的二阶谐波频率(即150 GHz)激发,效率为84%。在同一谐振器中,TEM1011模式在基本耿氏二极管谐波(频率75GHz)下的激励效率等于54%。通过在耦合元件的孔径中放置一维(E偏振)线光栅,证明了将谐振器与波导匹配是可能的。已经发现,在线栅的l=0.2 mm空间周期和谐振器在f=150 GHz(即Г150=0)的匹配激励的情况下,在f=75 GHz时OR的反射系数Г75等于0.637。在TEM1022模式振荡的OR中激发时,f=150 GHz时的总损耗为–1.23 dB。在同一谐振器中以75 GHz的频率激发TEM1011振荡时,总损耗增加至–5.4 dB。结论。分析表明,OR实现了所提出的高阶轴向不对称激励方法,用于构建亚太赫兹范围的本地振荡器。此外,这种谐振系统可以被认为既是功率组合器又是双工器(滤波器)。
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Radio Physics and Radio Astronomy
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