Search arXiv⌕ Search

arXiv · physics/0603127

Focusing a fountain of neutral cesium atoms with an electrostatic lens triplet

Abstract

An electrostatic lens with three focusing elements in an alternating-gradient configuration is used to focus a fountain of cesium atoms in their ground (strong-field-seeking) state. The lens electrodes are shaped to produce only sextupole plus dipole equipotentials which avoids adding the unnecessary nonlinear forces present in cylindrical lenses. Defocusing between lenses is greatly reduced by having all of the main electric fields point in the same direction and be of nearly equal magnitude. The addition of the third lens gave us better control of the focusing strength in the two transverse planes and allowed focusing of the beam to half the image size in both planes. The beam envelope was calculated for lens voltages selected to produced specific focusing properties. The calculations, starting from first principles, were compared with measured beam sizes and found to be in good agreement. Application to fountain experiments, atomic clocks, and focusing polar molecules in strong-field-seeking states is discussed.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Juris G. Kalnins, Jason M. Amini, Harvey Gould. 2006-03-15. Focusing a fountain of neutral cesium atoms with an electrostatic lens triplet. https://doi.org/10.1103/physreva.72.043406

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Stable, High-Charge, Laser-Driven VHEE Beams for Preclinical Applications

Laser-driven plasma accelerators (LPAs) are promising sources of very-high-energy-electron (VHEE) beams for medical applications, but increasing charge per pulse while maintaining pointing stability remains challenging. We demonstrate laser-accelerated beams with total charge per pulse reaching (559 $\pm$ 56) pC using an 80 TW laser system. The spectra have a dominant component at 40-60 MeV and a high-energy tail extending to approximately 200 MeV. Pointing jitter measured in air at the irradiation target plane reaches as low as 0.7 mrad. The beams were used for VHEE irradiation experiments involving a 10 mm region of interest through a 40 mm depth at 400 $\pm$ 20 mGy/pulse. Spectral reproducibility is quantified over fixed-setting shot sequences. Particle-in-cell simulations produce a peak-and-tail spectrum through acceleration in successive bubbles associated with a strongly modified plasma wake, providing a plausible mechanism for maintaining substantial accelerated charge despite strong beam loading. Dose-weighted time-of-flight calculations indicate an effective pulse dose rate of $10^{12}$ Gy/s and average dose rates of tens of Gy/min. These results establish an LPA operating regime relevant to preclinical VHEE irradiation.

physics.acc-ph↗

Quantum transport of vortex electrons in bending magnets and circular accelerators

Controlling the sizes and phase structure of single-particle wave packets in accelerators remains an experimental challenge and requires understanding how bending magnets transform these states. An important example is transporting relativistic vortex electrons through the magnets to a collision point while keeping a narrow orbital-angular-momentum (OAM) distribution. We derive an effective Hamiltonian that accounts for the packet acceleration, employ it to obtain a generalized BMT-like equation, match the electron state at both magnet boundaries, and calculate the mean OAM and its variance. A half turn can reverse the mean OAM relative to the momentum while broadening its distribution, so recovering the mean does not ensure state recovery. We identify windows in packet sizes and bend angles for a small OAM spread and show that weak bends can produce narrow distributions with the mean OAM tilted relative to the momentum, making these states candidates for spatiotemporal vortices. For a few MeV electrons, we propose to use half-turn magnets that leave the mean OAM nearly antiparallel to the momentum while keeping its distribution narrow. For a circular orbit in a uniform field, the OAM variance after the exit grows as $N^2$ over $N$ turns, favoring linear accelerators, such as LINAC at JINR, for first experiments in MeV range.

physics.acc-ph↗

Fast prediction of electron-beam parameters using transfer maps and machine learning in a digital model of a MeV $γγ$ collider

Tuning the electron beam of a MeV-scale $γγ$ collider, first in the design and later in a digital twin of the machine, requires the beam parameters at the interaction point (IP) for many injector states. Start-to-end particle tracking is too slow for this and needs the full particle distribution, which an operating machine cannot measure. We address this problem for the 200-MeV transport line of the collider with two fast predictors. For design, second-order transfer maps from the transport entrance to the IP are applied to every particle. For a digital twin, an extremely-randomized-trees (ExtraTrees) model predicts the IP parameters from the means and rms widths of the beam at the transport entrance. On 89 held-out start-to-end simulations, the map predictor reproduces Elegant tracking for the mean energy, momentum spread, bunch length, transverse rms sizes and normalized emittances with coefficients of determination ($R^2$) of 0.97--1.00 and is ten times faster. The ExtraTrees model reaches an average $R^2$ of 0.88, compared with 0.58 when the injector settings are used as input, and performs similarly with eleven inputs that can be measured or reconstructed. Under a 2% input perturbation, the average $R^2$ of the six parameters other than the mean energy decreases only from 0.917 to 0.895, whereas the mean energy requires an accurate momentum calibration. The two predictors provide the IP-beam evaluation for the collider design and the prediction layer of a future digital twin.

physics.acc-ph↗