Modeling magnetic fields with helical solutions to Laplace’s equation

@article{Pollack2019ModelingMF,
  title={Modeling magnetic fields with helical solutions to Laplace’s equation},
  author={Brian Pollack and Ryan Pellico and Cole Kampa and H. Glass and Michael Henry Schmitt},
  journal={Nuclear Instruments \& Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment},
  year={2019},
  volume={977},
  pages={164303}
}
  • B. PollackR. Pellico M. Schmitt
  • Published 8 January 2019
  • Physics
  • Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment

References

SHOWING 1-10 OF 23 REFERENCES

Helical harmonics for static fields.

  • P. Overfelt
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2001
Helical harmonic solutions of Laplace's equation are derived using a right-handed nonorthogonal helical coordinate system and a modified separation of variables technique to solve the boundary value problem of two nested helices.

The CMS Magnetic Field Map Performance

The Compact Muon Solenoid (CMS) is a general-purpose detector designed to run at the highest luminosity at the CERN Large Hadron Collider (LHC). Its distinctive features include a 4 T superconducting

Mu2e Solenoid Field Mapping System Design

The design of the Field Mapping System Mu2e will use to measure the magnetic field is described and two different mechanical mapper systems, a survey-based position determination of the in-house calibrated three-dimensional Hall probes, a motion control system, and a data acquisition and readout system are presented.

Hall Probe Calibration System Design for the Mu2e Solenoid Field Mapping System

The goal of the Mu2e experiment at Fermilab is to search for charged-lepton flavor violation by looking for neutrino-less muon to electron conversion in the field of the nucleus. The Mu2e

Construction of the L3 Magnet

The L3 detector, an international collaboration of 36 universities and 13 countries, is installing anew detector on the CERN LEP accelerator. This detector includes a huge magnet of 8000 t and 16 min

The Levenberg-Marquardt algo-rithm: Implementation and theory

A conduit arrangement for a tilt cylinder of a bulldozer comprises a trunnion having a hole to be connected to the hole in a truck frame and a conduit adapted to be connected through the frame to the

Classical Electrodynamics

Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.

A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems

A subspace adaptation of the Coleman--Li trust region and interior method for solving large-scale bound-constrained minimization problems and under reasonable conditions the convergence properties are as strong as those of its full-space version.