Collimation of a Positron Beam Using an Externally Applied Axially Symmetric Magnetic Field Numbers (MeV/Sr) 1 12 1 11 1 1 1 9 Electrons Positrons Reference shot (no B fields) 1 15 Shot with B fields by MIFEDS Particle energy (MeV) 2 25 D. H. Barnak University of Rochester Laboratory for Laser Energetics 56th Annual Meeting of the American Physical Society Division of Plasma Physics New Orleans, LA 27 31 October 214
Summary Magnetic collimation results in a quasi-neutral electron positron beam A loop-current magnetic lens is used to collimate the electron positron beam Different particle energies are collimated by varying the field strength and the target-to-lens distance Electron and positron beams can be separated by a coil translation or tipping and tilting TC1169
Collaborators G. Fiksel, P.-Y. Chang, R. Betti, and D. D. Meyerhofer University of Rochester Laboratory for Laser Energetics H. Chen, G. J. Williams, S. Kerr, and J. Park Lawrence Livermore National Laboratory
Positrons are collimated using an axisymmetric magnetic field A divergent positron source is produced by illuminating a high-z target with a short-pulse laser Focal length Collimated positrons Detector Au target Positron jet OMEGA EP sidelighter beam Magnetic-field coil [magneto-inertial fusion electrical discharge system (MIFEDS)] A focal length is defined as the distance between the target and coil that yields a collimated beam TC11738 *H. Chen et al., Phys. Rev. Lett. 12, 151 (29).
A focal length can be determined for an axisymmetric magnetic field as a function of energy Focal length can be expressed in terms of particle energy 4 B = 7.8 T f = # dzqb 8 cm v B z 4 f~ E 2 z 2 * Focal length (mm) 3 2 1 8 1 12 14 Energy (MeV) 16 18 2 Positron collimation acts as an energy selector; electrons are collimated the same as positrons. TC1117a *H. Chen et al., Phys. Plasmas 21, 473 (214).
MIFEDS provides an axially symmetric magnetic field capable of positron collimation MIFEDS generates tens of kiloamps Control circuits Transmission line Capacitors MIFEDS has been successfully deployed on the OMEGA, OMEGA EP, and Titan Laser Systems. TC1961b
Positron beam collimation produces a nearly quasi-neutral electron positron plasma Positron and electron density is increased roughly two orders of magnitude at peak energy 1 12 Shot with B fields by MIFEDS Numbers (MeV/Sr) 1 11 1 1 1 9 Electrons Positrons Reference shot (no B fields) 1 15 2 25 85 J 1-ps pulse at 154 nm B = 7.8 T Particle energy (MeV) TC1161 H. Chen et al., Phys. Rev. Lett. 21, 473 (214).
Collimation is observed at higher positron energy than predicted and is accounted for by a radial electric field A charge imbalance arises from uncollimated high-energy electrons 8 J Peak energy (MeV) 2 15 1 5 Simulation Measured E = 1.4 MeV/mm Theory Quasi-neutral region E 6 8 1 12 14 16 18 Distance from the coil center (CC) to target chamber center (TCC) (mm) High-energy electrons TC11111a For an electron density ~1 14 and a radius of 5 mm, we can estimate an electric field of ~3 MV/mm
Positron collimation was observed on some shots at the Titan Laser Facility Strong collimation was achieved for lower-energy particles produced by Titan Positrons/MeV/sr ( 1 9 ) 1 8 6 4 2 Tungsten positrons B = 8 T B = T 2 4 6 8 1 Positron energy (MeV) TC1174
Not all shots demonstrated the same collimation Using the same material, magnetic-field strength, and targetto-coil distance, the same positron signal was not reproduced Positrons/MeV/sr ( 1 9 ) 1 8 6 4 2 Tungsten positrons B = 8 T B = T 2 4 6 8 1 Positron energy (MeV) TC11741 Coil tip/tilt and translation can account for positrons being deflected away from the detector.
Target and coil misalignment causes deflection off-axis and charge-species separation A small shift off-axis can be represented in the canonical momentum equation as M = qr A ^h =cm v ^ hr z z z 3 This means there is some nonzero v z at infinity, causing particles to drift; the sign of v z depends on q, which causes charge separation TC11611a
Collimation remains the dominant effect close to the coil, resulting in two collimated charge-separated beams Separate electron and positron beams are generated when the magnetic lens is positioned at the focal length and tilted by 2 in the y z plane Quasi-neutral electron positron beam Positrons only y (mm) 1 5 5 Particles in detector plane Electrons only 1 2 1 x (mm) 1 2 TC11742
Summary/Conclusions Magnetic collimation results in a quasi-neutral electron positron beam A loop-current magnetic lens is used to collimate the electron positron beam Different particle energies are collimated by varying the field strength and the target-to-lens distance Electron and positron beams can be separated by a coil translation or tipping and tilting TC1169