Search NASA⌕ Search

SEARCH · Search NASA

Results for “BETATRON OSCILLATIONS”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 19 records
All sourcesNASA NTRSDOE OSTI
DOE OSTI2017

Specific features of betatron oscillations and betatron emission in a hollow-channel plasma

Transverse betatron oscillations and the corresponding betatron emission are investigated for electrons in a strongly non-linear wake wave excited by a high-power laser pulse in a hollow-channel plasma. The expressions for the oscillation period and critical frequency in the synchrotron regime of betatron emission are derived. A two-stage scheme is considered, in which an electron bunch formed in a plasma possessing a certain set of parameters generates betatron emission in a plasma possessing another set of parameters. The emission spectrum at the second stage is calculated in the absence of bunch acceleration. (paper)

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
DOE OSTI2017

Resonant excitation of betatron oscillations

Resonant excitation of betatron oscillations is a proposed mechanism for creating large amplitude, sinusoidal electron oscillations by overlaying a standard magnetic undulator and the radial electric fields of an ion channel to effectively create a very high strength undulator. By satisfying a resonance condition between the undulator and betatron periods, large transverse wiggling amplitudes are possible at short periods of oscillation. This skirts the existing limitations of magnetic undulators whose effective strength is constrained by the limits on high peak field values in a short (~cm) period. Additionally, such motion can be achieved with on axis beam injection and greater operational amplitude and polarization tunability than offered in other incarnations of the plasma wiggler. This technique provides a path to applications that demand high K, tunable, bright x-ray or gamma ray radiation such as high flux polarized positron production and a practical realization of the ion channel laser.

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND ↗
DOE OSTI2023

Proof-of-Principle Studies on Betatron-Oscillation Phase Tracking of a Single Electron (BOPTSE) in IOTA Run 3

We present a description and preliminary results of the proof-of-principle studies on betatron-oscillation phase tracking of a single electron in the Fermilab IOTA storage ring during Run 3 (2021). We describe the general principles of the experiment, the optical diagnostics setup, the configuration of the ring, a chronology of the studies, the structure of the measured data, and results of the preliminary analysis of the collected data. It was observed that the coherence time of betatron oscillations exceeds 60,000 turns. The betatron tune of the single electron was accurately measured and compared with that of electron bunches. In addition, chromaticity was extracted from the combined analysis of synchrotron oscillations and betatron phase tracking.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
DOE OSTI2018

Reduction of Coherent Betatron Oscillations Using RF Electric Fields in the Fermilab Muon g-2 Experiment

The Fermilab Muon g-2 experiment aims to measure the muon anomalous magnetic moment with a 140 parts-per-billion precision to investigate the greater than 3 standard deviation difference between the Standard Model prediction and the previous measurement by the BNL Muon g-2 experiment. The coherent betatron oscillation (CBO) beam effects must be corrected for in the decay-positron time spectra fits used in high precision muon storage ring based anomalous magnetic moment measurements. This MC simulation study indicates that the application of radio frequency (RF) electric fields to the muon storage ring beam can reduce the CBO amplitude by up to a factor of 10, as well to increase the symmetry of the beam phase space. This is achieved by correcting the mismatched oscillation phases between the high and low momentum muon populations by modulating the muon beam betatron oscillation frequencies with off-resonance RF fields.

43 PARTICLE ACCELERATORS↗
DOE OSTI2013

Induction of electron injection and betatron oscillation in a plasma-waveguide-based laser wakefield accelerator by modification of waveguide structure

By adding a transverse heater pulse into the axicon ignitor-heater scheme for producing a plasma waveguide, a variable three-dimensionally structured plasma waveguide can be fabricated. With this technique, electron injection in a plasma-waveguide-based laser wakefield accelerator was achieved and resulted in production of a quasi-monoenergetic electron beam. The injection was correlated with a section of expanding cross-section in the plasma waveguide. Moreover, the intensity of the X-ray beam produced by the electron bunch in betatron oscillation was greatly enhanced with a transversely shifted section in the plasma waveguide. The technique opens a route to a compact hard-X-ray pulse source.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗
DOE OSTI2019

A Method to Reduce the Coherent Betatron Oscillations in a Muon g-2 Storage Ring Experiment using RF Fields

The muon $g-2$ storage-ring experiments store a beam of polarized muons in a weak focusing storage ring. As the ensemble of muons goes around the ring, their spin precesses, and when they decay through the weak interaction: $\mu^+ \rightarrow e^+ \nu_e \bar{\nu_\mu}$ the decay positrons are detected by electromagnetic calorimeters. In addition to the expected exponential decay in the positron time spectrum, the weak decay asymmetry causes a modulation in the number of positrons at the difference frequency between the spin and cyclotron frequencies, $\omega_a$. This frequency is directly proportional to the magnetic anomaly $a =(g-2)/2$, where $g$ is the gyromagnetic ratio of the muon, which is slightly greater than 2. The detector acceptance depends on the radial position of the muon decay, so the coherent betatron oscillations (CBO) of the muon bunch following injection into the storage ring amplitude modulates the measured muon signal with the frequency $\omega_{CBO}$. A new method using radio frequency (RF) electric fields has the potential to significantly decrease the beam CBO, and additionally to scrape the beam to reduce muon losses from the storage ring during the measurement period.

43 PARTICLE ACCELERATORS↗
DOE OSTI2012

Tune Determination of Strongly Coupled Betatron Oscillations in a Fast-Ramping Synchrotron

Tune identification -- i.e. attribution of the spectral peak to a particular normal de of oscillations -- can present a significant difficulty in the presence of strong transverse coupling when the normal mode with a lower damping rate dominates spectra of Turn-by-Turn oscillations in both planes. The introduced earlier phased sum algorithm helped to recover the weaker normal mode signal from the noise, but by itself proved to be insufficient for automatic peak identification in the case of close phase advance distribution in both planes. To resolve this difficulty we modified the algorithm by taking and analyzing Turn-by-Turn data for two different ramps with the beam oscillation excited in each plane in turn. Comparison of relative amplitudes of Fourier components allows for correct automatic tune identification. The proposed algorithm was implemented in the Fermilab Booster B38 console application and successfully used for tune, coupling and chromaticity measurements.

43 PARTICLE ACCELERATORS↗
DOE OSTI2019

Measurement of vertical betatron oscillations using the straw tracking detectors for the E989 muon g-2 experiment at Fermilab.

The measurement of the anomalous magnetic moment of electrons and muons has been an important test of the Standard Model (SM) of particle physics over many decades. This is because it can be measured experimentally and calculated theoretically to a high precision. In particular the anomalous magnetic moment of the muon, a µ , is an ideal candidate for the search of new physics due to the combination of the muons large mass and relatively long lifetime. The current world’s most precise value of aµ was measured by the E821 experiment at the Brookhaven National laboratory (BNL). This achieved a precision of 540 ppb (463 ppb stat., 283 ppb syst.) and measured a ~ 3.5 σ deviation from the SM value [1]. This motivated a new experiment: the E989 muon g–2 experiment at the Fermi National Accelerator Laboratory (Fermilab) to confirm or reject this discrepancy. This experiment aims to gather a data sample 21 times larger than the BNL experiment and improve the determination of the systematic uncertainties by a factor of three and thereby achieve a fourfold increase in precision to 140 ppb [2]. If the aµ value were to remain unchanged, this improvement in precision would establish evidence for Beyond SM (BSM) physics with a significance of more than 7 standard deviations. The Fermilab experiment has the same methodology as the BNL experiment and reuses the experiment’s storage ring magnet. New, improved experimental apparatus has been introduced to reduce the systematic uncertainty on the a µ measurement. One such improvement is the addition of two straw tracking stations. These measure the trajectory of the positrons emitted from the (positive) muon decays which allows a detailed study of the spatial and temporal motion of the beam and critical crosschecks of the calorimeter data. This thesis describes in detail the design, construction and testing of the tracking detectors which were built at the University of Liverpool. A detailed study of the vertical motion of the beam is also presented. This study provides an important correction that must be applied to the data before a µ can be determined.

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND ↗
DOE OSTI2024

Electron energy gain due to a laser frequency modulation experienced by electron during betatron motion

Direct laser acceleration of electrons is an important energy deposition mechanism for laser-irradiated plasmas that is particularly effective at relativistic laser intensities in the presence of quasi-static laser-driven plasma electric and magnetic fields. These radial electric and azimuthal magnetic fields provide transverse electron confinement by inducing betatron oscillations of forward-moving electrons undergoing laser acceleration. Electrons are said to experience a betatron resonance when the frequency of betatron oscillations matches the average frequency of the laser field oscillations at the electron position. In this paper, we show that the modulation of the laser frequency as seen by an electron performing betatron oscillations can be another important mechanism for net energy gain that is qualitatively different from the betatron resonance. Specifically, we show that the frequency modulation experienced by the electron can lead to net energy gain in the regime where the laser field performs three oscillations per betatron oscillation. There is no net energy gain in this regime without the modulation because the energy gain is fully compensated by the energy loss. The modulation slows down the laser oscillation near transverse stopping points, increasing the time interval during which the electron gains energy and making it possible to achieve net energy gain.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗
DOE OSTI2014

Enhancement of laser-driven electron acceleration in an ion channel

A laser beam with duration longer than the period of plasma oscillations propagating through an underdense plasma produces a steady-state positively charged channel in the electron density. We consider a test electron in the two-dimensional plane channel under the combined action of the laser field and the transverse static electric field of the channel. At ultrarelativistic laser wave amplitude (a≫1), the electron is pushed primarily forward. As the electron gradually dephases from the wave, the field it samples and its relativistic γ-factor strongly oscillate. The natural frequency of electron oscillations across the channel (betatron frequency) depends on γ, which couples the betatron oscillations to the longitudinal motion induced by the wave. We show that the modulation of the natural frequency makes the oscillations unstable. The resulting amplification of the oscillations across the channel reduces the axial dephasing between the electron and the wave, leading to a considerable electron energy enhancement well above the ponderomotive energy. We find that there is a well-pronounced laser amplitude threshold a{sub *}, above which the enhancement takes place, that scales as a{sub *}∝1/√(n{sub 0}), where n{sub 0} is the ion density. The presented mechanism of energy enhancement is robust with respect to a longitudinal variation of the density, because it relies on a threshold phenomenon rather than on a narrow linear resonance.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗
DOE OSTI2018

Overcoming proton and 3 He intrinsic resonances in the AGS Booster with an ac dipole

Polarized 3 He collisions are part of future physics programs for RHIC and eRHIC. Due to optics perturbations from the AGS partial helical dipoles, it is desired to extract 3 He from the Booster at Gγ = –10.5, which involves crossing the 12 – ν y and the 6 + ν y intrinsic resonances. To overcome these resonances, an ac dipole is being designed to be installed in the Booster. The effect of an ac dipole is to generate artificial spin-resonance by inducing vertical betatron oscillations that guide the bunch through the horizontal fields of the quadrupoles. An experimental study with Au beam was performed to confirm that the available aperture is sufficient to accommodate these large vertical betatron oscillations. Simulations for 3 He crossing the aforementioned resonances have been performed and display the effectiveness of the ac dipole at spin-flipping in the Booster. Due to the rapid acceleration of the Booster, the ac dipole tune will change as much as 0.0028 over the course of an ac dipole cycle, which changes the amplitude of these betatron oscillations over the course of the cycle. Through simulation, it is shown that the varying betatron amplitude does not dilute the effectiveness of the ac dipole. Sextupoles are used to provide further control over the tune spread, where RF-dual harmonics are used to control the bunch length, and to reduce the momentum spread.

43 PARTICLE ACCELERATORS↗
DOE OSTI2013

Simulation of Betatron X-Ray Radiation as an Indirect Measurement of Electron Trajectories in a Laser-Wakefield Accelerator

Laser-wakefield accelerators (LWFA) only a few centimeters long have generated ultrarelativistic electrons and synchrotron-like x-rays. One barrier to using LWFA's for accelerator and x-ray source applications is the current inability to directly measure and characterize the betatron oscillations of electrons in the plasma. We have developed Mathematica/MATLAB simulations to model betatron oscillations and x-ray generation in a LWFA. By fitting simulation parameters to obtain closest agreement with experimentally measured betatron x-ray beam profiles, we obtain indirect measurements of experimental electron trajectories.

42 ENGINEERING↗