The nature of the bulk near-surface light radiation arising in the conditions of surface electromagnetic wave excitation by finite-size input grating has been theoretically studied.
从理论上研究了有限尺寸输入光栅在表面电磁波激发下产生的体近表面光辐射的性质。
{"title":"The comparison of fields excited by input grating coupler with those of surface electromagnetic waves","authors":"V. Makin, V. V. Trubaev","doi":"10.1109/DD.2007.4531997","DOIUrl":"https://doi.org/10.1109/DD.2007.4531997","url":null,"abstract":"The nature of the bulk near-surface light radiation arising in the conditions of surface electromagnetic wave excitation by finite-size input grating has been theoretically studied.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133013758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Dorofeenko, A. Merzlikin, A. Vinogradov, A. Lisyansky, A. Granovsky, M. Inoue
Enhancement of the Faraday effect in multilayer structures is considered. The structures are treated as open resonators. It is shown that the angle of Faraday rotation can be represented as a product of two factors, the first one is determined by the bulk magnetooptical properties and the second is a Q-factor of the resonator. The enhancement of MO properties is illustrated by consideration of the Airy's partial waves in single MO slab. This approach is generalized to an arbitrary MO resonant structure and allows us to design scheme with "perfect" Faraday effect with rotation by 90deg and unitary transmission..
{"title":"Enhancement of Faraday effect in open resonators","authors":"A. Dorofeenko, A. Merzlikin, A. Vinogradov, A. Lisyansky, A. Granovsky, M. Inoue","doi":"10.1109/DD.2007.4531987","DOIUrl":"https://doi.org/10.1109/DD.2007.4531987","url":null,"abstract":"Enhancement of the Faraday effect in multilayer structures is considered. The structures are treated as open resonators. It is shown that the angle of Faraday rotation can be represented as a product of two factors, the first one is determined by the bulk magnetooptical properties and the second is a Q-factor of the resonator. The enhancement of MO properties is illustrated by consideration of the Airy's partial waves in single MO slab. This approach is generalized to an arbitrary MO resonant structure and allows us to design scheme with \"perfect\" Faraday effect with rotation by 90deg and unitary transmission..","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114350245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In our previous presentations in the series of this seminar, we have shown an interesting phenomenon which was found numerically and later explained semiclassically for coherent electronic transmission through a mesoscopic quantum wire with a step structure: Fistly, we reported by our numerical work that the electric current shows periodic oscillations as a function of a system parameter; secondly, we presented its semiclassical description to explain analytically that this is purely the effect of diffraction and constructive interference of transmitting electrons at the step structure of the wire. This time, we further report an attempt to improve the semi- classical calculations of wave transport in such a system.
{"title":"An attempt to improve semiclassical calculations of wave transport in a quantum wire with diffraction","authors":"H. Ishio","doi":"10.1109/DD.2007.4531993","DOIUrl":"https://doi.org/10.1109/DD.2007.4531993","url":null,"abstract":"In our previous presentations in the series of this seminar, we have shown an interesting phenomenon which was found numerically and later explained semiclassically for coherent electronic transmission through a mesoscopic quantum wire with a step structure: Fistly, we reported by our numerical work that the electric current shows periodic oscillations as a function of a system parameter; secondly, we presented its semiclassical description to explain analytically that this is purely the effect of diffraction and constructive interference of transmitting electrons at the step structure of the wire. This time, we further report an attempt to improve the semi- classical calculations of wave transport in such a system.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124477040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the present paper justification of the asymptotic solutions of linear system with a high-order turning point constructed is proved.
本文证明了一类具有高阶拐点的线性系统渐近解的证明。
{"title":"Justification of the asymptotic solutions of linear system with a turning point of high order","authors":"V. Kucherenko, A. Kryvko","doi":"10.1109/DD.2007.4531996","DOIUrl":"https://doi.org/10.1109/DD.2007.4531996","url":null,"abstract":"In the present paper justification of the asymptotic solutions of linear system with a high-order turning point constructed is proved.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130886918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The possibility of the existence of electromagnetic surface waves guided by the composite medium-metal planer boundary is investigated. It is shown that the parametric interaction of these waves in the presence of an external time-harmonic electromagnetic field can be observed. The expression of growth rate for the surface-wave amplitudes is determined.
{"title":"Electromagnetic surface waves guided by the metal-composite medium boundary","authors":"N. F. Yashina, T. Zaboronkova","doi":"10.1109/DD.2007.4532008","DOIUrl":"https://doi.org/10.1109/DD.2007.4532008","url":null,"abstract":"The possibility of the existence of electromagnetic surface waves guided by the composite medium-metal planer boundary is investigated. It is shown that the parametric interaction of these waves in the presence of an external time-harmonic electromagnetic field can be observed. The expression of growth rate for the surface-wave amplitudes is determined.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127873378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
"Bryan's effect" - that is, the effect of a vibrating pattern's precession in the direction of inertial rotation of a vibrating ring - was discovered by G. Bryan in 1890. This effect has several applications in navigational instruments, such as cylindrical, hemispherical and planar circular disc rotational sensors. The model of a thin circular disc vibrating in its plane and subjected to inertial rotation is considered. The dynamics of the disc gyroscope are considered in terms of linear elasticity. Two models are considered: solid discs and a composite disc consisting of concentric annular discs with various boundary conditions on the inner and outer circumferences. It is assumed that the angular rate of inertial rotation of the composite disc is constant and has axial orientation. It is also assumed that this angular rate is much smaller than the lowest eigenvalue of the composite disk. Hence any centrifugal effects and quantities that are proportional to the square of the angular rate are negligible. Our model is formulated in general terms and then compared to a formulation in terms of Novozhilov-Arnold-Warbur-ton's theory of thin shells. The system of equations of motion of the disc is separated and transformed into a pair of wave equations in polar coordinates. A solution is obtained in terms of Bessel and Neumann functions. Various non-axisymmetric modes of the composite disc are considered and the dependence of Bryan's effect on eigenvalues, mass densities of the composite disc, its modulii of elasticity, Poisson ratios, outer and inner radii of the disc, and for various types of boundary conditions, are investigated.
“布莱恩效应”——即振动模式在振动环惯性旋转方向上的进动效应——是由g·布莱恩在1890年发现的。这种效应在导航仪器中有几种应用，如圆柱形、半球形和平面圆盘旋转传感器。考虑了在其平面内振动并受惯性旋转作用的薄圆盘模型。从线弹性的角度考虑盘式陀螺仪的动力学。考虑了两种模型:实心圆盘和由同心环形圆盘组成的复合圆盘，其内外周具有不同的边界条件。假设复合圆盘的惯性旋转角速度恒定，且具有轴向。我们还假设这个角速率远小于复合圆盘的最低特征值。因此，任何离心效应和与角速率的平方成正比的量都可以忽略不计。我们的模型以一般术语表示，然后与novozhilov - arnold - warburton的薄壳理论的公式进行比较。将圆盘的运动方程组分离出来，转化为极坐标下的一对波动方程。得到了贝塞尔函数和诺伊曼函数的解。考虑了复合圆盘的各种非轴对称模态，研究了Bryan效应对复合圆盘的特征值、质量密度、弹性模量、泊松比、圆盘的内外半径以及各种边界条件的依赖关系。
{"title":"On gyroscopic effects in vibrating and axially rotating solid and annular discs","authors":"S. Joubert, I. Fedotov, W. Pretorius, M. Shatalov","doi":"10.1109/DD.2007.4531995","DOIUrl":"https://doi.org/10.1109/DD.2007.4531995","url":null,"abstract":"\"Bryan's effect\" - that is, the effect of a vibrating pattern's precession in the direction of inertial rotation of a vibrating ring - was discovered by G. Bryan in 1890. This effect has several applications in navigational instruments, such as cylindrical, hemispherical and planar circular disc rotational sensors. The model of a thin circular disc vibrating in its plane and subjected to inertial rotation is considered. The dynamics of the disc gyroscope are considered in terms of linear elasticity. Two models are considered: solid discs and a composite disc consisting of concentric annular discs with various boundary conditions on the inner and outer circumferences. It is assumed that the angular rate of inertial rotation of the composite disc is constant and has axial orientation. It is also assumed that this angular rate is much smaller than the lowest eigenvalue of the composite disk. Hence any centrifugal effects and quantities that are proportional to the square of the angular rate are negligible. Our model is formulated in general terms and then compared to a formulation in terms of Novozhilov-Arnold-Warbur-ton's theory of thin shells. The system of equations of motion of the disc is separated and transformed into a pair of wave equations in polar coordinates. A solution is obtained in terms of Bessel and Neumann functions. Various non-axisymmetric modes of the composite disc are considered and the dependence of Bryan's effect on eigenvalues, mass densities of the composite disc, its modulii of elasticity, Poisson ratios, outer and inner radii of the disc, and for various types of boundary conditions, are investigated.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125190129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A study is made of the excitation of electromagnetic waves by spatially bounded given electric currents in the presence of an axially magnetized cylindrical plasma column surrounded by free space. A rigorous solution for the total field comprising both the discrete and continuous parts of the spatial spectrum of the excited waves is found. Using the obtained field representation, the contributions of guided and unguided modes of the column to the impedance of a loop antenna are determined for the whistler frequency range. It is shown that allowance for relatively small collisional losses in the plasma can result in appreciable redistribution of the antenna- launched power among the excited modes.
{"title":"Excitation of whistler modes guided by a lossy anisotropic plasma column","authors":"V. A. Es'kin, A. Kudrin, T. Zaboronkova","doi":"10.1109/DD.2007.4532009","DOIUrl":"https://doi.org/10.1109/DD.2007.4532009","url":null,"abstract":"A study is made of the excitation of electromagnetic waves by spatially bounded given electric currents in the presence of an axially magnetized cylindrical plasma column surrounded by free space. A rigorous solution for the total field comprising both the discrete and continuous parts of the spatial spectrum of the excited waves is found. Using the obtained field representation, the contributions of guided and unguided modes of the column to the impedance of a loop antenna are determined for the whistler frequency range. It is shown that allowance for relatively small collisional losses in the plasma can result in appreciable redistribution of the antenna- launched power among the excited modes.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132733271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A problem of diffraction of waves on a vertical interface of media is studied. The waves are radiated by a point source. The reflected and transmitted wave fields are obtained by the method of parabolic equation. The corresponding transformation coefficients are found for the Neumann boundary condition.
{"title":"Diffraction of surface waves on the line of velocity discontinuity","authors":"N. Kirpichnikova, S. Fadeeva, V. Fadeeva","doi":"10.1109/DD.2007.4531988","DOIUrl":"https://doi.org/10.1109/DD.2007.4531988","url":null,"abstract":"A problem of diffraction of waves on a vertical interface of media is studied. The waves are radiated by a point source. The reflected and transmitted wave fields are obtained by the method of parabolic equation. The corresponding transformation coefficients are found for the Neumann boundary condition.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121990160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work the calculation of derivative of Whittaker potential upsi with respect to tau was performed in the framework of linear current model. Results of computation have shown similarity of the form of the superluminal running current pulse on one hand and the derivative of Whittaker potential partupsi/parttau on the other in far region at Cherenkov angle.
{"title":"On similarity between superluminal current pulse shape and time derivative of Whittaker potential","authors":"F. Valiev","doi":"10.1109/DD.2007.4532006","DOIUrl":"https://doi.org/10.1109/DD.2007.4532006","url":null,"abstract":"In this work the calculation of derivative of Whittaker potential upsi with respect to tau was performed in the framework of linear current model. Results of computation have shown similarity of the form of the superluminal running current pulse on one hand and the derivative of Whittaker potential partupsi/parttau on the other in far region at Cherenkov angle.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130818867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hermite-Laguerre-Gaussian (HLG) beams are recently introduced light beam family that contains Hermite-Gaussian and Laguerre-Gaussian beams as particular representatives. The Wigner function and some other integral characteristics for HLG beams are found and discussed.
{"title":"Wigner distribution function and intensity integral moments of Hermite-Laguerre-Gaaussian beams","authors":"E. G. Abramochkin, V. Volostnikov","doi":"10.1109/DD.2007.4531979","DOIUrl":"https://doi.org/10.1109/DD.2007.4531979","url":null,"abstract":"Hermite-Laguerre-Gaussian (HLG) beams are recently introduced light beam family that contains Hermite-Gaussian and Laguerre-Gaussian beams as particular representatives. The Wigner function and some other integral characteristics for HLG beams are found and discussed.","PeriodicalId":192971,"journal":{"name":"2007 International Conference - Days on Diffraction","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126203553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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