Academic literature on the topic 'Travelling wave linear accelerators'

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Journal articles on the topic "Travelling wave linear accelerators"

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Quanfeng, Li, Yan Huiyong, Du Taibin, and Wang Peiqing. "Irradiation of semiconductor devices using a 10 MeV travelling wave electron linear accelerator." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 174, no. 1-2 (March 2001): 194–98. http://dx.doi.org/10.1016/s0168-583x(00)00438-9.

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Longuet-Higgins, M. S. "The propagation of short surface waves on longer gravity waves." Journal of Fluid Mechanics 177 (April 1987): 293–306. http://dx.doi.org/10.1017/s002211208700096x.

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To understand the imaging of the sea surface by radar, it is useful to know the theoretical variations in the wavelength and steepness of short gravity waves propagated over the surface of a train of longer gravity waves of finite amplitude. Such variations may be calculated once the orbital accelerations and surface velocities in the longer waves have been accurately determined – a non-trivial computational task.The results show that the linearized theory used previously for the longer waves is generally inadequate. The fully nonlinear theory used here indicates that for longer waves having a steepness parameter AK = 0.4, for example, the short-wave steepness can be increased at the crests of the longer waves by a factor of order 8, compared with its value at the mean level. (Linear theory gives a factor less than 2.)The calculations so far reported are for free, irrotational gravity waves travelling in the same or directly opposite sense to the longer waves. However, the method of calculation could be extended without essential difficulty so as to include effects of surface tension, energy dissipation due to short-wave breaking, surface wind-drift currents, and to arbitrary angles of wave propagation.
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Liu, Shikuo, Zuntao Fu, Shida Liu, and Zhanggui Wang. "Combinability of Travelling Wave Solutions to Nonlinear Evolution Equation." Zeitschrift für Naturforschung A 59, no. 10 (October 1, 2004): 623–28. http://dx.doi.org/10.1515/zna-2004-1001.

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First, applying the Jacobi elliptic sine function expansion, basic travelling wave solutions of some nonlinear evolution equations are obtained. Second, according to the formal invariance of nonlinear evolution equations, the sister travelling wave solutions, which have the same wave speed as the basic ones, are derived. Finally, we show that a suitable linear combination of these two solutions results in a combined travelling wave solution, whose wave speed is different from those of the basic and sister travelling wave solutions. The combination of travelling wave solutions to nonlinear evolution equations must satisfy certain conditions. - PACS: 03.65.Ge.
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McDonald, Fleur, Robert I. McLachlan, Brian E. Moore, and G. R. W. Quispel. "Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations." Journal of Difference Equations and Applications 22, no. 7 (March 28, 2016): 913–40. http://dx.doi.org/10.1080/10236198.2016.1162161.

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Holden, A. J., I. Davies, P. Medhurst, and C. H. Oxley. "New wideband GaAs travelling-wave device: linear gate transistor." Electronics Letters 22, no. 15 (1986): 777. http://dx.doi.org/10.1049/el:19860533.

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Khrushchev, I. Yu, E. M. Dianov, and V. A. Tanko. "Tunable travelling-wave laser with a linear cavity configuration." Electronics Letters 31, no. 11 (May 25, 1995): 895–96. http://dx.doi.org/10.1049/el:19950630.

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Jeffrey, Alan, and Siqing Xu. "Travelling wave solutions to certain non-linear evolution equations." International Journal of Non-Linear Mechanics 24, no. 5 (January 1989): 425–29. http://dx.doi.org/10.1016/0020-7462(89)90029-2.

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Filatov, Aleksandr Nikolaevich, and Vladimir Kuz'mich Shilov. "Radial dynamics of electrons in two-section linear accelerator." International Journal of Electrical and Computer Engineering (IJECE) 9, no. 1 (February 1, 2019): 215. http://dx.doi.org/10.11591/ijece.v9i1.pp215-220.

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This article discusses possibility of harness wiring with the use of focusing system of high frequency eigenfields of accelerating resonators in standing wave linear accelerators on the basis of biperiodic slowing systems. The scopes of business activities and specificity of existing engineering processes applied in industry, especially in chemistry and metallurgy, require for special measures on environmental protection. At present electron linear accelerators operating in pulse mode are used for application purposes. Such accelerators can be characterized by sufficient beam power for efficient industrial use and for environmental protection. The results of numerical analysis of electron dynamics in two-section accelerator upon various initial conditions are presented. The obtained results are applied for development of actual accelerator, calculated and experimental data are given. The performed experimental study confirmed possibility of development of standing wave linear accelerator without external magnetic focusing system with output beam diameter of not higher than . The results of calculations of beam dynamics are experimentally verified.
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Oliveras, K. L., and C. W. Curtis. "Nonlinear travelling internal waves with piecewise-linear shear profiles." Journal of Fluid Mechanics 856 (October 12, 2018): 984–1013. http://dx.doi.org/10.1017/jfm.2018.679.

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In this work, we study the nonlinear travelling waves in density stratified fluids with piecewise-linear shear currents. Beginning with the formulation of the water-wave problem due to Ablowitz et al. (J. Fluid Mech., vol. 562, 2006, pp. 313–343), we extend the work of Ashton & Fokas (J. Fluid Mech., vol. 689, 2011, pp. 129–148) and Haut & Ablowitz (J. Fluid Mech., vol. 631, 2009, pp. 375–396) to examine the interface between two fluids of differing densities and varying linear shear. We derive a systems of equations depending only on variables at the interface, and numerically solve for periodic travelling wave solutions using numerical continuation. Here, we consider only branches which bifurcate from solutions where there is no slip in the tangential velocity at the interface for the trivial flow. The spectral stability of these solutions is then determined using a numerical Fourier–Floquet technique. We find that the strength of the linear shear in each fluid impacts the stability of the corresponding travelling wave solutions. Specifically, opposing shears may amplify or suppress instabilities.
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Krylovas, Aleksandras, and Rima Kriauzienė. "ASYMPTOTICAL ANALYSIS OF SOME COUPLED NONLINEAR WAVE EQUATIONS." Mathematical Modelling and Analysis 16, no. 1 (April 8, 2011): 97–108. http://dx.doi.org/10.3846/13926292.2011.560618.

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We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of our work is to show that the method of internal averaging along characteristics can be used for wide classes of coupled non-linear wave equations such as Korteweg-de Vries, Klein – Gordon, Hirota – Satsuma, etc. The asymptotical analysis reduces a system of coupled non-linear equations to a system of integro – differential averaged equations. The averaged system with the periodical initial conditions disintegrates into independent equations in non-resonance case. These equations describe simple weakly non-linear travelling waves in the non-resonance case. In the resonance case the integro – differential averaged systems describe interaction of waves and give a good asymptotical approximation for exact solutions.
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Dissertations / Theses on the topic "Travelling wave linear accelerators"

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Dal, Forno Massimo. "Theoretical and experimental analysis of interactions between electromagnetic fields and relativistic electrons in vacuum chamber." Doctoral thesis, Università degli studi di Trieste, 2013. http://hdl.handle.net/10077/8570.

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2011/2012
Il laser ad elettroni liberi (FEL) è una sorgente luminosa di quarta generazione che ha specifiche più stringenti rispetto alle sorgenti luminose di terza generazione, tra le quali ricordiamo i sincrotroni. La cosiddetta emittanza e la traiettoria del fascio determinano la qualità del fascio, e devono soddisfare severi requisiti nei FEL. Per esempio, nella sala ondulatori, la posizione del fascio deve essere misurata con risoluzione micrometrica. Il controllo della posizione del fascio può essere effettuato utilizzando i “Cavity Beam Position Monitor” (Cavity BPM). Questa tesi descrive l’attività di ricerca eseguita sui Cavity BPM. Precisamente, la progettazione, la simulazione elettromagnetica e l'ottimizzazione di un Cavity BPM sono state effettuate. Successivamente, 25 Cavity BPM sono stati fabbricati e installati nella sala ondulatori del progetto FERMI@Elettra. I segnali sono stati acquisiti e processati con un nuovo tipo di elettronica, e una serie di misure sono state effettuate. Il secondo dispositivo studiato in questo dottorato è l'acceleratore lineare di particelle. Tradizionali strutture acceleranti, dotate di un accoppiatore a singolo ingresso causano la degradazione delle proprietà fascio elettronico, a causa dell’ asimmetria del campo elettromagnetico. Un nuovo tipo di accoppiatore, con cortocircuito mobile, viene proposto, nel quale il campo elettrico è stato simmetrizzato. La progettazione, simulazione elettromagnetica e ottimizzazione del dispositivo sono state effettuate, e un prototipo della struttura accelerante è stato prodotto e sintonizzato. Il campo elettrico è stato misurato con il metodo bead-pull. Infine, in questa tesi sono descritti i deflettori RF ad alta energia, che sono degli strumenti di diagnostica in grado di misurare le proprietà fascio elettronico, in particolare la lunghezza del banco di elettroni e lo spazio longitudinale di fase.
The Free Electron Laser (FEL) is a fourth generation light source that has more stringent specifications with respect to the third generation light sources, such as synchrotrons. The so-called emittance and the beam trajectory determine the beam quality, and must satisfy stringent requirements in FELs. For example, in the undulator hall, the beam position must be measured with the micrometer resolution. The control in the beam position can be achieved using a cavity beam position monitor (Cavity BPM). This thesis describes the research performed on the cavity BPM. Precisely, the electromagnetic design, the simulation and the optimization of a cavity BPM have been carried out. Subsequently, 25 cavity BPMs have been manufactured and installed in the undulator hall of the FERMI@Elettra project. A new RF front-end has been set up, and a series of measurements have been performed. The second device studied in this PhD is the travelling wave linear accelerator. Traditional accelerating structures endowed with a single feed coupler cause degradation of the electron beam properties, due to the electromagnetic field asymmetry. A new type of single feed structure with movable short circuit is proposed, where the electric field has been symmetryzed. The electromagnetic design, simulation and optimization of the device have been carried out, and a prototype of the accelerating structure has been produced and tuned. The electric field has been measured with the bead-pull method. Finally, in this thesis are described the High Energy RF Deflector (HERFD), which are a fundamental diagnostic tool to measure the electron beam properties, in particular the bunch length and the longitudinal phase space.
XXV Ciclo
1984
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2

Dal, Forno Massimo. "Theoretical and experimental analysis of interactions between electromagnetic fields and relativistic electrons in vacuum chamber." Doctoral thesis, Università degli studi di Trieste, 2013. http://hdl.handle.net/10077/8537.

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Abstract:
2011/2012
Il laser ad elettroni liberi (FEL) è una sorgente luminosa di quarta generazione che ha specifiche più stringenti rispetto alle sorgenti luminose di terza generazione, tra le quali ricordiamo i sincrotroni. La cosiddetta emittanza e la traiettoria del fascio determinano la qualità del fascio, e devono soddisfare severi requisiti nei FEL. Per esempio, nella sala ondulatori, la posizione del fascio deve essere misurata con risoluzione micrometrica. Il controllo della posizione del fascio può essere effettuato utilizzando i “Cavity Beam Position Monitor” (Cavity BPM). Questa tesi descrive l’attività di ricerca eseguita sui Cavity BPM. Precisamente, la progettazione, la simulazione elettromagnetica e l'ottimizzazione di un Cavity BPM sono state effettuate. Successivamente, 25 Cavity BPM sono stati fabbricati e installati nella sala ondulatori del progetto FERMI@Elettra. I segnali sono stati acquisiti e processati con un nuovo tipo di elettronica, e una serie di misure sono state effettuate. Il secondo dispositivo studiato in questo dottorato è l'acceleratore lineare di particelle. Tradizionali strutture acceleranti, dotate di un accoppiatore a singolo ingresso causano la degradazione delle proprietà fascio elettronico, a causa dell’ asimmetria del campo elettromagnetico. Un nuovo tipo di accoppiatore, con cortocircuito mobile, viene proposto, nel quale il campo elettrico è stato simmetrizzato. La progettazione, simulazione elettromagnetica e ottimizzazione del dispositivo sono state effettuate, e un prototipo della struttura accelerante è stato prodotto e sintonizzato. Il campo elettrico è stato misurato con il metodo bead-pull. Infine, in questa tesi sono descritti i deflettori RF ad alta energia, che sono degli strumenti di diagnostica in grado di misurare le proprietà fascio elettronico, in particolare la lunghezza del banco di elettroni e lo spazio longitudinale di fase.
The Free Electron Laser (FEL) is a fourth generation light source that has more stringent specifications with respect to the third generation light sources, such as synchrotrons. The so-called emittance and the beam trajectory determine the beam quality, and must satisfy stringent requirements in FELs. For example, in the undulator hall, the beam position must be measured with the micrometer resolution. The control in the beam position can be achieved using a cavity beam position monitor (Cavity BPM). This thesis describes the research performed on the cavity BPM. Precisely, the electromagnetic design, the simulation and the optimization of a cavity BPM have been carried out. Subsequently, 25 cavity BPMs have been manufactured and installed in the undulator hall of the FERMI@Elettra project. A new RF front-end has been set up, and a series of measurements have been performed. The second device studied in this PhD is the travelling wave linear accelerator. Traditional accelerating structures endowed with a single feed coupler cause degradation of the electron beam properties, due to the electromagnetic field asymmetry. A new type of single feed structure with movable short circuit is proposed, where the electric field has been symmetryzed. The electromagnetic design, simulation and optimization of the device have been carried out, and a prototype of the accelerating structure has been produced and tuned. The electric field has been measured with the bead-pull method. Finally, in this thesis are described the High Energy RF Deflector (HERFD), which are a fundamental diagnostic tool to measure the electron beam properties, in particular the bunch length and the longitudinal phase space.
XXV Ciclo
1984
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3

Zemella, Ricardo J. (Ricardo Joel). "Design and development of a linear travelling wave motor." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/42436.

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Russman, Felipe Boff. "Quebra de dinâmica ponderomotiva como um eficiente mecanismo de aceleração e focagem de partículas carregadas." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/174847.

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A presente dissertação estuda a dinâmica uni e tridimensional de uma part cula solitária eletricamente carregada sob a ação de uma onda eletrostática de alta frequência lentamente modulada. A onda dota a partícula de energia potencial elétrica e o seu movimento e conhecido através do emprego do formalismo hamiltoniano, onde se faz a consideração de efeitos relativísticos devido as altas velocidades envolvidas no processo. Enquanto a velocidade máxima experimentada pela partícula permanece suficientemente abaixo da velocidade de fase característica da onda que a acelera, sua dinâmica pode ser bem descrita por uma re nada aproximação ponderomotriz. Com esta abordagem, prevê-se corretamente a velocidade média, máxima e m nima desenvolvida pela partícula ao longo de seu movimento através das curvas que permeiam e envelopam o per l de velocidade. Os limites de validade da aproximação são bem estabelecidos e, uma vez ultrapassados, a partícula com velocidade ressonante e capturada pela onda. Sob as adequadas condições calculadas neste trabalho, o mecanismo de captura instala, espontaneamente, a partícula em fase otima relativa a onda e a acelera a velocidades muito próximas da velocidade da luz no vácuo. Em consonância, o processo de aceleração e otimizado com a focagem da partícula em direção ao eixo de propagação da onda durante um certo intervalo de tempo e de comprimento aproveitáveis.
The present dissertation studies the one and three-dimensional dynamics of an electrically charged solitary particle under the action of a slowly modulated high frequency electrostatic carrier wave. The wave gives the particle electrical potential energy and its movement is known through the use of Hamiltonian formalism, where relativistic e ects are considered due to the high velocities involved in the process. Meanwhile the maximum speed experienced by the particle remains su ciently below the characteristic phase velocity of the accelerating carrier wave, its dynamics can be well described by a re ned ponderomotive approach. With this approach, the average, maximum and minimum speed developed by the particle along its movement through the curves that permeate and envelop the velocity pro le. The limits of validity of the approximation are well established and, once exceeded, the particle with resonant velocity is captured by the wave. Under the appropriate conditions calculated in this work, the capture mechanism spontaneously installs the optimum phase particle relative to the wave and accelerates towards the speed of light in the vacuum. At same time, the acceleration process is optimized by focusing the particle towards the wave propagation axis for a certain usable time interval and length.
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Nakauchi, Gene. "Analytical and numerical results for a curvature-driven geometric flow rule." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/127335/1/Gene_Nakauchi_Thesis.pdf.

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This research studies a particular curvature-driven geometric flow rule in the plane using techniques from differential geometry, computational mathematics, and formal asymptotics. The flow rule is a combination of the well-studied curve shortening flow, which is governed by a parabolic system of partial differential equations, and the Eikonal equation, which is governed by a hyperbolic system. The physical motivations for considering our model include propagating fire fronts and phase separation. The focus is on a variety of mathematical problems related to the flow rule, such as the explicit form of travelling wave solutions, linear stability, self-intersection, singularity formation, and the extinction problem for convex curves.
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Chou, Yen-You, and 周衍佑. "The study of quasi-phase-matched optical parametric oscillators in electro-optically controlled linear travelling-wave intra cavity scheme." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/sa4pr7.

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碩士
國立中央大學
光電科學與工程學系
105
The modes are divided into two types: Longitudinal mode and Transverse mode. Longitudinal mode: its characteristics for the time axis changes, affecting its temporal coherence; transverse mode: its characteristics for the changes in the spatial axis, affecting its spatial coherence. In order to make the laser has a good spatial coherence, facilitates the transmission and focus of light, the vast majority of the laser will be set to the transverse mode as TEM00 fundamental mode, To produce a single longitudinal mode is the main research direction of the experimental study. Single-mode lasers with high intensity, very narrow spectral width, high collimation and other characteristics, are widely used in spectroscopy, space telemetry, optical fiber communication systems. In this study, the Volume Bragg Grating (VBG) is used as the second output coupling mirror to replace the dielectric output coupling mirror, which narrows the signal optical bandwidth of the optical parametric oscillator, then we use Electro-Optic Polarization Mode Converter ( EO PMC) to modulate polarization as two polarization rotators on both ends of optical parametric gain medium (OPGM), so that the light waves in the cavity will not produce standing wave but in the form of traveling wave transmission in the cavity , which inhibits the homogeneity broadening that caused by the special-hole burning phenomenon produced transverse mode. In this study, the comparison of the optical spectrum and the mode of the optical parametric oscillator in the standing wave operation and the electro-optical polarization modulator is carried out under the condition of the traveling wave. Compared with the standing wave, the half-height width has a narrowing effect, and the spectrum half-width is from 0.1 nanometer under standing wave operation narrowed to 0.01 nanometers below (our optical spectrometer resolution limit) under traveling wave operation.
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Kyed, Mads [Verfasser]. "Travelling wave solutions of the heat equation in an unbounded cylinder with a non-Linear boundary condition / vorgelegt von Mads Kyed." 2005. http://d-nb.info/975460145/34.

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Books on the topic "Travelling wave linear accelerators"

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Particle accelerator physics: Basic principles and linear beam dynamics. Berlin: Springer-Verlag, 1993.

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Wiedemann, Helmut. Particle accelerator physics. 2nd ed. Berlin: Springer, 1999.

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Particle Accelerator Physics. 3rd ed. Springer, 2007.

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Wiedemann, Helmut. Particle Accelerator Physics: Volume I and II (study edition) (Advanced Texts in Physics). 2nd ed. Springer, 2004.

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Book chapters on the topic "Travelling wave linear accelerators"

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Seeman, J., D. Schulte, J. P. Delahaye, M. Ross, S. Stapnes, A. Grudiev, A. Yamamoto, et al. "Design and Principles of Linear Accelerators and Colliders." In Particle Physics Reference Library, 295–336. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34245-6_7.

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AbstractLinear accelerators (linacs) use alternating radiofrequency (RF) electromagnetic fields to accelerate charged particles in a straight line. Linacs were invented about 95 years ago and have seen many significant technical innovations since. A wide range of particle beams have been accelerated with linacs including beams of electrons, positrons, protons, antiprotons, and heavy ions. Linac parameter possibilities include pulsed versus continuous wave, low and high beam powers, low and high repetition rates, low transverse emittance beams, short bunches with small energy spreads, and accelerated multiple bunches in a single pulse. The number of linacs around the world has grown tremendously with thousands of linacs in present use, many for medical therapy, in industry, and for research and development in a broad spectrum of scientific fields. Researchers have developed accelerators for scientific tools in their own right, being awarded several Nobel prizes. Moreover, linacs and particle accelerators in general have enabled many discovery level science experiments in related fields, resulting in many Nobel prizes as well.
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Conference papers on the topic "Travelling wave linear accelerators"

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Bhattacharjee, Somen, Sudipta Das, Durbadal Mandal, and Anup Kumar Bhattacharjee. "Performance of Linear Arrays with Travelling Wave Current Distribution." In 2011 International Conference on Devices and Communications (ICDeCom). IEEE, 2011. http://dx.doi.org/10.1109/icdecom.2011.5738507.

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Xie, Wen-Qiu, Zi-Cheng Wang, Fangming He, Ji-Run Luo, and Qing-Lun Liu. "Linear analysis of a 0.22THz sine waveguide travelling wave tube." In 2014 39th International Conference on Infrared, Millimeter, and Terahertz waves (IRMMW-THz). IEEE, 2014. http://dx.doi.org/10.1109/irmmw-thz.2014.6956378.

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Walthes, Wolfgang, and Manfred Berroth. "Non-Linear Characterization and Simulation of a Travelling Wave Amplifier." In 2001 31st European Microwave Conference. IEEE, 2001. http://dx.doi.org/10.1109/euma.2001.338970.

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Reeves, Geoffrey D. "Wave Generation and Wave-Particle Interaction Using Space-Based, RF, Linear Electron Accelerators." In 2021 USNC-URSI Radio Science Meeting (USNC-URSI RSM). IEEE, 2021. http://dx.doi.org/10.23919/usnc-ursirsm52661.2021.9552348.

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Sato, M. "A travelling-wave fed parallel plate slot array antenna with inclined linear polarisation at 60 GHz." In Tenth International Conference on Antennas and Propagation (ICAP). IEE, 1997. http://dx.doi.org/10.1049/cp:19970282.

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Yoong, Carlos, Anders Thorin, and Mathias Legrand. "The Wave Finite Element Method Applied to a One-Dimensional Linear Elastodynamic Problem With Unilateral Constraints." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46919.

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The Wave Finite Element Method (WFEM) is implemented to accurately capture travelling waves propagating at a finite speed within a bouncing rod system and induced by unilateral contact collisions with a rigid foundation; friction is not accounted for. As opposed to the traditional Finite Element Method (FEM) within a time-stepping framework, potential discontinuous deformation, stress and velocity wave fronts are accurately described, which is critical for the problem of interest. A one-dimensional benchmark with an analytical solution is investigated. The WFEM is compared to two time-stepping solution methods formulated on a FEM semi-discretization in space: (1) an explicit technique involving Lagrange multipliers and (2) a non-smooth approach implemented in the Siconos package. Attention is paid to the Gibb’s phenomenon generated during and after contact occurrences together with the time evolution of the total energy of the system. It is numerically found that the WFEM outperforms the FEM and Siconos solution methods because it does not induce any spurious oscillations or dispersion and diffusion of the shock wave. Furthermore, energy is not dissipated over time. More importantly, the WFEM does not require any impact law to close the system of governing equations.
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Amabili, Marco, Prabakaran Balasubramanian, and Giovanni Ferrari. "Experiments and Simulations in Travelling Wave and Non-Stationary Nonlinear Vibrations of Circular Cylindrical Shells." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66315.

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The nonlinear vibrations of a water-filled circular cylindrical shell subjected to radial harmonic excitation in the spectral neighborhood of the lowest resonances are investigated numerically and experimentally by using a seamless aluminum sample. The experimental boundary conditions are close to a simply supported circular cylindrical shell. Modal analysis reveals the presence of predominantly radial driven and companion modes in the low frequency range, implying the existence of a traveling wave phenomenon in the nonlinear field. Experimental studies previously carried out on cylindrical shells did not permit the complete identification of the characteristic traveling wave response and of its non-stationary nature. The added mass of the internal quiescent, incompressible and inviscid fluid results in an increase of the weakly softening behavior of the shell, as expected. The minimization of the added mass due to the excitation system and the negligible entity of the geometric imperfections of the shell allow the appearance of an exact one-to-one internal resonance between driven and companion modes. This internal resonance gives rise to a travelling wave response around the shell circumference and non-stationary, quasi-periodic vibrations, which are experimentally verified by means of stepped-sine testing with feedback control of the excitation amplitude. The same phenomenon is observed in the nonlinear response obtained numerically. The traveling wave is measured by means of state-of-the-art laser Doppler vibrometry applied to multiple points on the structure simultaneously. Previous studies present in literature did not show if this vibration can be chaotic for relatively small vibration amplitudes. Chaos is here observed in the frequency region where the travelling wave response is present for vibrations amplitudes smaller than the thickness of the shell. The relevant nonlinear reduced order model of the shell is based on the Novozhilov nonlinear shell theory retaining in-plane inertia and on an expansion of the displacements in terms of a properly chosen base of linear modes. An energy approach is used to obtain the nonlinear equations of motion, which are numerically studied (i) by using a code based on arc-length continuation and collocation method that allows bifurcation analysis in case of stationary vibrations, (ii) by a continuation code based on direct integration and Poincaré maps, which also evaluates the maximum Lyapunov exponent in case of non-stationary vibrations. The comparison of experimental and numerical results is particularly satisfactory throughout the various excitation amplitude levels considered. The two methods concur in describing the progressive development of the companion mode into a fully developed traveling wave and the subsequent appearance of quasi-periodic and eventually chaotic vibrations.
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Lambert, William, and Stefano Brizzolara. "On the Effect of Non-Linear Boundary Conditions on the Wave Disturbance and Hydrodynamic Forces of Underwater Vehicles Travelling Near the Free-Surface." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18214.

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Abstract This study compares the effect of non-linear free-surface boundary conditions for a high-order non-linear free-surface Rankine-source boundary element method on wave disturbance and hydrodynamic forces acting on an underwater vehicle travelling near a calm free-surface. In particular, simulations for a steady nonaxisymmetric prolate spheroid using different basis flows and linearization techniques were compared to an analytical method achieved by Chatjigeorgiou using a multipole expansion of Green’s functions. It appears that at low Froude numbers, the basis flow used in the formulation contributes significantly to differences in the steady solutions for wave resistance and pitch, whereas for higher Froude numbers the linearization technique becomes a more defining feature. Upon observation of the analytical solution for wave resistance, one can see that it was formed under a Neumann-Kelvin formulation and this is supported by the Neumann-Kelvin simulations converging well to the analytical solution. Further comparisons were made using a wave directional energy spectrum gathered from transverse wave cuts of the free wave pattern. The spectral analysis allows for a higher level of comparison between all of the different cases, establishing a direct relation between the change in wave resistance and the energy content variation of the particular wave spectrum components.
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9

Siegel, Stefan G., Tiger Jeans, and Thomas McLaughlin. "Intermediate Ocean Wave Termination Using a Cycloidal Wave Energy Converter." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20030.

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We investigate a lift based wave energy converter (WEC), namely, a cycloidal turbine, as a wave termination device. A cycloidal turbine employs the same geometry as the well established Cycloidal or Voith-Schneider Propeller. The interaction of intermediate water waves with the Cycloidal WEC is presented in this paper. The cycloidal WEC consists of a shaft and one or more hydrofoils that are attached eccentrically to the main shaft and can be adjusted in pitch angle as the Cycloidal WEC rotates. The main shaft is aligned parallel to the wave crests and fully submerged at a fixed depth. We show that the geometry of the Cycloidal WEC is suitable for wave termination of straight crested waves. Two-dimensional potential flow simulations are presented where the hydrofoils are modeled as point vortices. The operation of the Cycloidal WEC both as a wave generator as well as a wave energy converter interacting with a linear Airy wave is demonstrated. The influence that the design parameters radius and submergence depth on the performance of the WEC have is shown. For optimal parameter choices, we demonstrate inviscid energy conversion efficiencies of up to 95% of the incoming wave energy to shaft energy. This is achieved by using feedback control to synchronize the rotational rate and phase of the Cycloidal WEC to the incoming wave. While we show complete termination of the incoming wave, the remainder of the energy is lost to harmonic waves travelling in the upwave and downwave direction.
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10

Li, Yan, Thomas A. A. Adcock, and Ton S. van den Bremer. "Linear Evolution of a Narrow-Banded Surface Gravity Wavepacket Over an Infinite Step." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96082.

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Abstract This paper focuses on the classical and fundamental problem of waves propagating over an infinite step in finite water depth. Specifically, this paper aims to extend classical narrow-banded wave theory for constant water depth which uses a multiple-scales expansion to the case of an abrupt change in the water depth, known as an infinite step. This paper derives the linear evolution equations and is the first step towards the calculation of second-order and higher-order effects for wavepackets travelling over a step using commonly employed envelope-type evolution equations, in particular the bound sub- and super-harmonics at second order.
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Reports on the topic "Travelling wave linear accelerators"

1

Lin, Ellie. Standing Wave Linear Accelerators: An Investigation of the Fundamental Field Stability and Tuning Characteristics. Office of Scientific and Technical Information (OSTI), August 2002. http://dx.doi.org/10.2172/800020.

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