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A Resistive Theory of Bunch Lengthening

M. Month, E. Messerschmid
1977 IEEE Transactions on Nuclear Science  
instability theory adequately describes the a n d o u s length of the electron bunch in 8pebB. Scaling law fo11owd over a w i d e r-e of the realfng P G a w t e r , g -over 3 o r d e n of cmgnitude.  ...  "Pwt" instability theory in the class of theories predicting energy widening-camairtent with observation. 6. mrtiur t e s t s of +heow: -Redicta the presence of ".mall" coherent h a m signals i n the frequency  ... 
doi:10.1109/tns.1977.4328898 fatcat:fq3s6d44hvayxffs54nmmdopwy

Theory of wakefields excited by an off-axis drive bunch in a plasma-dielectric waveguide [article]

K. V. Galaydych, G. V. Sotnikov, I. N. Onishchenko
2021 arXiv   pre-print
A linear theory of a wakefield excitation in a plasma-dielectric accelerating structure by a drive electron bunch in the case of an off-axis bunch injection has been constructed.  ...  Derived theory was used to investigate numerically the spatial distribution of the bunch-excited wakefield components, which act on both the drive and witness bunches.  ...  ACKNOWLEDGMENTS The study is supported by the National Research Foundation of Ukraine under the program "Leading and Young Scientists Research Support" (project # 2020.02/0299).  ... 
arXiv:2108.13069v2 fatcat:sptdurgxzzhrnb35jrkzkkrw44

Quantitative theory of current-induced step bunching on Si(111)

Da-Jiang Liu, John D. Weeks
1998 Physical Review B (Condensed Matter)  
We use a one-dimensional step model to study quantitatively the growth of step bunches on Si(111) surfaces induced by a direct heating current.  ...  A force in the step down direction will destabilize the uniform step train towards step bunching.  ...  THEORY OF CURRENT-INDUCED STEP . . .  ... 
doi:10.1103/physrevb.57.14891 fatcat:xubt3g2v6bdxlpk52hmzmg7cc4

Theory of Longitudinal Instability for Bunched Electron and Proton Beams

A. G. Ruggiero
1977 IEEE Transactions on Nuclear Science  
Sometimes, in the latter case, the modification of the potential well is introduced ad hoc! Our theory applies to the case of a real frequency Independent impedance.  ...  Also (2) can be regarded as a special case of a proton bunch. Let g(4> whore U is a collective complex angular frequency.  ...  A dispersion relation Is obtained from (11) (17) 1 « eZInhTC | ydx where y is a particular solution of (16) which goes to lero at least as e~x for N-*».  ... 
doi:10.1109/tns.1977.4328897 fatcat:3sli2oo6prhjnbciv3gmj3gyru

Theory of the Rebatron—a Relativistic Electron Bunching Accelerator for Use in Megavolt Electronics

Paul D. Coleman
1957 Journal of Applied Physics  
Dimensionless ratios are introduced into Eq. (17) so that the theory can be universal for all relativistic electron bunching accelerators (REBATRONS) using a TMow mode cavity.  ...  in a TMoo mode cavity, assume that the electron bunch can be represented as a sheet of charge of density o=Ng/mRo’.  ... 
doi:10.1063/1.1722916 fatcat:chgfnx5sjzbbhiunhby4ydkday

Theory of coupled-bunch longitudinal instabilities in a storage ring for arbitrary rf potentials

Ryan R. Lindberg
2018 Physical Review Accelerators and Beams  
We present a theory of coupled-bunch longitudinal instabilities that is based on the coupled set of Vlasov equations governing the particle distribution function, and can be applied to arbitrary longitudinal  ...  We then apply the theory to a weakly nonlinear oscillator and to a quartic potential that is relevant for ultralow emittance storage rings that employ bunch-lengthening systems.  ...  Our theory can also be thought of as a generalization to the results of Thompson and Ruth [16] , who showed how to formulate the coupled-bunch problem as a simple matrix equation.  ... 
doi:10.1103/physrevaccelbeams.21.124402 fatcat:gafolkgb6zaatnzvenimuqabuy

Approach to a Theory of the Epidemiology from General Medicine: Its Morphology, Ethology, Distribution and Ecology. "The Pampa is much more than a Bunch of Grass"

Jose Luis Turabian
2019 Epidemiology International Journal  
"Because the Pampa is nothing more than a bunch of grass," he explained with a grandiloquent gesture of his arms, as if trying to prove the amount of grass he was referring to.  ...  "The Pampa is much more than a bunch of grass", and under that bright mantle of grass, and in the forests of dry and brittle stems, the amount of living beings is extraordinary.  ...  Approach to a Theory of the Epidemiology from General Medicine: Its Morphology, Ethology, Distribution and Ecology. "The Pampa is much more than a Bunch of Grass".  ... 
doi:10.23880/eij-16000124 fatcat:nphminyni5a4zcv2ynec3c7dgi

A Large Signal Theory of Multiple Cascaded Bunching Cavities for High-Efficiency Triaxial Klystron Amplifier

Fuxiang Yang, Fangchao Dang, Juntao He, Xiaoping Zhang, Jinchuan Ju
2021 Electronics  
This paper presents a large signal theory of multiple cascaded bunching cavities for the design of high-efficiency triaxial klystron amplifiers (TKAs).  ...  This theory can predict the possibility of deep modulation of intense relativistic electron beams when the depth of the first harmonic current is about 150% by multiple cascaded bunching cavities.  ...  With the guidance of the deep modulation theory, we can obtain the optimal gap voltage of each bunching cavity and design a TKA with about 60% output efficiency as a result.  ... 
doi:10.3390/electronics10111284 fatcat:v4n4mmixmja3je2vxnwhhvtzgm

If you really want to get ahead, get a bunch of theories… and data to test them

Alan H. Schoenfeld
2014 The Mathematics Enthusiast  
What theories do you need to know, in order do a good job of professional development?  ...  In the light of this kind of theoretical framing, I will discuss two related attempts at supporting teachers in their work.  ...  The second, which evolved from the first, was entitled "If you really want to get ahead, get a bunch of theories . . . and data to test them," and was an invited presentation at the annual meeting of the  ... 
doi:10.54870/1551-3440.1289 fatcat:kluauhhstzbtho67n7otr2tcgm

Vlasov Theory of Signal Suppression for Bunched Beams Interacting with a Stochastic Cooling Feedback Loop

Swapan Chattopadhyay
1983 IEEE Transactions on Nuclear Science  
We develop a self-consistent Vlasov theoretic description of the dynamic distortion of incoherent Schottky signals from a bunched beam undergoing stochastic cooling, arising from beam feedback.  ...  In the situation of non-overlapping synchrotron bands, explicit expressions for the signal suppression factors are derived and evaluated numerically for a prototype high-energy storage ring.  ...  We assume the existence of a zero-order stationary distribution function for the beam fg Z fo(a) = g,,(J): (dfo/dt) = 0. ;= (qfoh) kp*a C C (~jJv(na) e-in6k[V(t)ei"o '1 e-i"'C(t) xi n (10) where J,,(x  ... 
doi:10.1109/tns.1983.4332911 fatcat:td6bwydenvhnhgn32vyj6ljpgm

Theory of single bunch transverse collective instabilities in electron storage rings

J. Gao
1998 Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment  
theory.  ...  In this paper, concerning the fast single bunch transverse instability, it is believed that the elimination of the Landau damping is the cause of this type of instability different from the mode-coupling  ...  mode coupling theory requires ∆ν y,c = F ν s instead of ∆ν y,c = −4σ νy,inc , where F is a variable depending on the bunch length.  ... 
doi:10.1016/s0168-9002(98)00789-x fatcat:jn2wsneuczcxdj5sb4yyckh2li

Theory and simulation of CSR microbunching in bunch compressors

Zhirong Huang, Michael Borland, Paul Emma, Kwang-Je Kim
2003 Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment  
The iterative solutions of the integral equation for the instability provide approximate expressions of CSR microbunching due to initial density and energy modulation, and can be applied to a series of  ...  CSR microbunching instability in bunch compressors is studied both analytically and numerically.  ...  Theory A typical bunch compressor chicane consists of four dipoles of equal length L b and equal magnitude of bending radius ρ 0 .  ... 
doi:10.1016/s0168-9002(03)00937-9 fatcat:fod2krzbk5bpheibsjtu34frxq

Theory of single bunch stability and dynamics in linacs with strong wakefields and misalignments

G Guignard, J Hagel
1999 Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment  
The basic method we propose in order to solve analytically the equation of motion of a relativistic single-bunch travelling in a linac, in the presence of wakefields, has been summarized in a preceding  ...  It deals with a Gaussian distribution of charge, linear variation of the wakefields within the bunch and smooth focusing.  ...  Results from the theory concerning the center-of-gravity off-sets that take place within a single bunch and contribute to the emittance growth when the bunch travels down the linac are given in Section  ... 
doi:10.1016/s0168-9002(99)00560-4 fatcat:tooipqnbarcltehsm36xjdydka

New theory of single bunch stability in a linac with quadrupole displacements

G. Guignard, J. Hagel
Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)  
It presents a break-through in the recent efforts [3] to solve the problem of the bunch stability theoretically, with realistic beam and linac models.  ...  Both, the longitudinal and transverse equations of motion are solved, the second by using the perturbation method with partial expansions developed for this theory.  ...  In addition, a linear variation of the wakefield level along the bunch in both planes is assumed.  ... 
doi:10.1109/pac.1999.794205 fatcat:r4tlbsyii5e3tbuwjrge652afu

Centroid theory of transverse electron-proton two-stream instability in a long proton bunch revisited [article]

T S F Wang, R C Davidson, R J Macek, P J Channell
2005
This revision and related changes have been published in a recent Erratum [2]. This note summarizes the main results of the original paper and the highlight of the main changes made in the Erratum.  ...  We have identified a few technical errors in our recent paper on the electron-proton instability [1] .  ...  INTRODUCTION In our recent paper on the study of the transverse electron-proton (e-p) instability in a long proton bunch [1] , a few errors have been found.  ... 
doi:10.5170/cern-2005-001.379 fatcat:fcsio4xa5nce5gh6lsaqe7flty
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