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A Resistive Theory of Bunch Lengthening

1977
*
IEEE Transactions on Nuclear Science
*

instability

doi:10.1109/tns.1977.4328898
fatcat:fq3s6d44hvayxffs54nmmdopwy
*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 ...##
###
Theory of wakefields excited by an off-axis drive bunch in a plasma-dielectric waveguide
[article]

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). ...

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

1998
*
Physical Review B (Condensed Matter)
*

We use

doi:10.1103/physrevb.57.14891
fatcat:xubt3g2v6bdxlpk52hmzmg7cc4
*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 . . . ...##
###
Theory of Longitudinal Instability for Bunched Electron and Proton Beams

1977
*
IEEE Transactions on Nuclear Science
*

Sometimes, in the latter case, the modification

doi:10.1109/tns.1977.4328897
fatcat:3sli2oo6prhjnbciv3gmj3gyru
*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-*». ...##
###
Theory of the Rebatron—a Relativistic Electron Bunching Accelerator for Use in Megavolt Electronics

1957
*
Journal of Applied Physics
*

Dimensionless ratios are introduced into Eq. (17) so that the

doi:10.1063/1.1722916
fatcat:chgfnx5sjzbbhiunhby4ydkday
*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’. ...##
###
Theory of coupled-bunch longitudinal instabilities in a storage ring for arbitrary rf potentials

2018
*
Physical Review Accelerators and Beams
*

We present

doi:10.1103/physrevaccelbeams.21.124402
fatcat:gafolkgb6zaatnzvenimuqabuy
*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. ...##
###
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"

2019
*
Epidemiology International Journal
*

"Because the Pampa is nothing more than

doi:10.23880/eij-16000124
fatcat:nphminyni5a4zcv2ynec3c7dgi
*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". ...##
###
A Large Signal Theory of Multiple Cascaded Bunching Cavities for High-Efficiency Triaxial Klystron Amplifier

2021
*
Electronics
*

This paper presents

doi:10.3390/electronics10111284
fatcat:v4n4mmixmja3je2vxnwhhvtzgm
*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. ...##
###
If you really want to get ahead, get a bunch of theories… and data to test them

2014
*
The Mathematics Enthusiast
*

What

doi:10.54870/1551-3440.1289
fatcat:kluauhhstzbtho67n7otr2tcgm
*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 ...##
###
Vlasov Theory of Signal Suppression for Bunched Beams Interacting with a Stochastic Cooling Feedback Loop

1983
*
IEEE Transactions on Nuclear Science
*

We develop

doi:10.1109/tns.1983.4332911
fatcat:td6bwydenvhnhgn32vyj6ljpgm
*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 ...##
###
Theory of single bunch transverse collective instabilities in electron storage rings

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. ...

##
###
Theory and simulation of CSR microbunching in bunch compressors

2003
*
Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment
*

The iterative solutions

doi:10.1016/s0168-9002(03)00937-9
fatcat:fod2krzbk5bpheibsjtu34frxq
*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 . ...##
###
Theory of single bunch stability and dynamics in linacs with strong wakefields and misalignments

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

doi:10.1016/s0168-9002(99)00560-4
fatcat:tooipqnbarcltehsm36xjdydka
*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 ...##
###
New theory of single bunch stability in a linac with quadrupole displacements

*
Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)
*

It presents

doi:10.1109/pac.1999.794205
fatcat:r4tlbsyii5e3tbuwjrge652afu
*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. ...##
###
Centroid theory of transverse electron-proton two-stream instability in a long proton bunch revisited
[article]

2005

This revision and related changes have been published in

doi:10.5170/cern-2005-001.379
fatcat:fcsio4xa5nce5gh6lsaqe7flty
*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. ...
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