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7por Pullia, M“…A precise control of the extraction from the synchrotron is needed to satisfy the medical specifications and this has led to a renewed interest in the basic theory of third-order resonance extraction. In the present paper, a complete description of the transit time in the resonance (the time between a particle becoming unstable and reaching the electrostatic septum) is developed as a basis for future work predicting spill shapes and the influence of power supply ripple. …”
Publicado 1996
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8por Franchetti, Giuliano, Gilardoni, Simone, Huschauer, Alexander, Schmidt, Frank, Wasef, Raymond“…In this article we present an extension of the previous studies to describe the effect of space charge on a controlled coupled (2D) third order resonance. The experimental and simulation results of this latest campaign shed a new light on the difficulties of the 2D particle dynamics. …”
Publicado 2017
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13por Chen, Xuan, Gehrmann, Thomas, Glover, E.W.N., Huss, Alexander, Monni, Pier Francesco, Re, Emanuele, Rottoli, Luca, Torrielli, Paolo“…In this Letter we present a state-of-the-art calculation of the fiducial cross section and of differential distributions for this process at third order in the strict fixed-order expansion in the strong coupling, as well as including the all-order resummation of logarithmic corrections. …”
Publicado 2022
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16“…A third-order rational difference equation is solved analytically. …”
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17“…This contribution brings a deep and detailed study of the dynamical behavior associated with nonlinear oscillator described by a single third-order differential equation with scalar jump nonlinearity. …”
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18por Pandey, P. K.“…In this article, we present a novel second order numerical method for solving third order boundary value problems using the quartic polynomial splines. …”
Publicado 2016
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19por Shorokhov, Alexander S., Okhlopkov, Kirill I., Reinhold, Jörg, Helgert, Christian, Shcherbakov, Maxim R., Pertsch, Thomas, Fedyanin, Andrey A.“…We performed time-resolved measurements of the photoinduced transient third-order nonlinear optical response of a fishnet metamaterial. …”
Publicado 2016
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20por Popczyk, Anna, Aamoum, Aouatif, Migalska-Zalas, Anna, Płóciennik, Przemyslaw, Zawadzka, Anna, Mysliwiec, Jaroslaw, Sahraoui, Bouchta“…An experiment was conducted for s and p polarizations of incident beam, using the Maker fringes technique. The third order nonlinear susceptibility χ((3)) was estimated using the Kubodera and Kobayashi comparative model, on the grounds that presented compounds exhibit high linear absorption of the generated third harmonic wavelength (355 nm). …”
Publicado 2019
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