Basic features of a charged particle dynamics in a laser beam with static axial magnetic field

2009 ◽  
Vol 17 (4) ◽  
Author(s):  
A. Dubik ◽  
M.J. Małachowski
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Kinetic Energy ◽  
Electric Field ◽  
Laser Beam ◽  
Analytical Solutions ◽  
Axial Magnetic Field ◽  
Dynamic Equations ◽  
Graphical Form ◽  
Particle Rotation

AbstractIn this paper, the trajectory and kinetic energy of a charged particle, subjected to interaction from a laser beam containing an additionally applied external static axial magnetic field, have been analyzed. We give the rigorous analytical solutions of the dynamic equations. The obtained analytical solutions have been verified by performing calculations using the derived solutions and the well known Runge-Kutta procedure for solving original dynamic equations. Both methods gave the same results. The simulation results have been obtained and presented in graphical form using the derived solutions. Apart from the laser beam, we show the results for a maser beam. The obtained analytical solutions enabled us to perform a quantitative illustration, in a graphical form of the impact of many parameters on the shape, dimensions and the motion direction along a trajectory. The kinetic energy of electrons has also been studied and the energy oscillations in time with a period equal to the one of a particle rotation have been found. We show the appearance of, so-called, stationary trajectories (hypocycloid or epicycloid) which are the projections of the real trajectory onto the (x, y) plane. Increase in laser or maser beam intensity results in the increase in particle’s trajectory dimension which was found to be proportional to the amplitude of the electric field of the electromagnetic wave. However, external magnetic field increases the results in shrinking of the trajectories. Performed studies show that not only amplitude of the electric field but also the static axial magnetic field plays a crucial role in the acceleration process of a charged particle.At the authors of this paper best knowledge, the precise analytical solutions and theoretical analysis of the trajectories and energy gains by the charged particles accelerated in the laser beam and magnetic field are lacking in up to date publications. The authors have an intention to clarify partly some important aspects connected with this process. The presented theoretical studies apply for arbitrary charged particle and the attached figures-for electrons only.

scholarly journals Optimized laser vacuum acceleration by static magnetic field

2015 ◽  
Vol 33 (3) ◽  
pp. 433-437 ◽  
Author(s):  
H. Lin ◽  
C. P. Liu ◽  
C. Wang ◽  
B. F. Shen
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Kinetic Energy ◽  
Electric Field ◽  
Static Magnetic Field ◽  
Vacuum Acceleration ◽  
High Kinetic Energy

AbstractLaser vacuum acceleration can be optimized significantly by applying a static magnetic field which is along the direction of laser magnetic field. This setup can cause a charged particle to be of a periodic, oscillatory-rising velocity, and significantly high kinetic energy. Moreover, the contribution from the motion vertical to accelerating electric field is fully taken into account and is found to be essential to efficient acceleration.

scholarly journals Ion energy increase in laser-generated plasma expanding through axial magnetic field trap

2007 ◽  
Vol 25 (3) ◽  
pp. 453-464 ◽  
Author(s):  
L. Torrisi ◽  
D. Margarone ◽  
S. Gammino ◽  
L. Andò
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Electric Fields ◽  
Axial Magnetic Field ◽  
Ion Beam ◽  
High Vacuum ◽  
Target Surface ◽  
Axial Direction ◽  
Ion Interactions ◽  
The Magnetic Field

Laser-generated plasma is obtained in high vacuum (10−7 mbar) by irradiation of metallic targets (Al, Cu, Ta) with laser beam with intensities of the order of 1010 W/cm2. An Nd:Yag laser operating at 1064 nm wavelength, 9 ns pulse width, and 500 mJ maximum pulse energy is used. Time of flight measurements of ion emission along the direction normal to the target surface were performed with an ion collector. Measurements with and without a 0.1 Tesla magnetic field, directed along the normal to the target surface, have been taken for different target-detector distances and for increasing laser pulse intensity. Results have demonstrated that the magnetic field configuration creates an electron trap in front of the target surface along the axial direction. Electric fields inside the trap induce ion acceleration; the presence of electron bundles not only focuses the ion beam but also increases its energy, mean charge state and current. The explanation of this phenomenon can be found in the electric field modification inside the non-equilibrium plasma because of an electron bunching that increases the number of electron-ion interactions. The magnetic field, in fact, modifies the electric field due to the charge separation between the clouds of fast electrons, many of which remain trapped in the magnetic hole, and slow ions, ejected from the ablated target; moreover it increases the number of electron-ion interactions producing higher charge states.

THE TOWNSEND DISCHARGE IN A COAXIAL DIODE WITH AXIAL MAGNETIC FIELD

1958 ◽  
Vol 36 (3) ◽  
pp. 255-270 ◽  
Author(s):  
P. A. Redhead
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Space Charge ◽  
Transit Time ◽  
Pressure Range ◽  
Axial Magnetic Field ◽  
Constant Electric Field ◽  
Approximate Theory ◽  
Charge Effects ◽  
Townsend Discharge

An approximate theory is developed of the breakdown characteristics of a coaxial diode in an axial magnetic field, taking into account the effects of elastic collisions. It is assumed that the electron moves in a constant electric field between collisions and thus the theory is valid only in the appropriate range of magnetic field and voltage. Estimates of transit time and of space-charge effects are also made. Measurements in the pressure range 10−3 to 10−9 mm. Hg are in general agreement with the theory.

Influence of Magnetic Field on Level of Linearly Polarized Laser Beam Passing through Faraday Crystal

2021 ◽  
Vol 408 ◽  
pp. 129-140
Author(s):  
Samer H. Zyoud ◽  
Atef Abdelkader ◽  
Ahed H. Zyoud ◽  
Araa Mebdir Holi
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Laser Beam ◽  
Active Material ◽  
Polarized Light ◽  
Linearly Polarized ◽  
Physical Effects ◽  
Pass Through ◽  
Polarization Level ◽  
Optically Active Material

Many natural materials have the ability to rotate the polarization level of linearly polarized laser beam and pass through it. This phenomenon is called optical activity. In the event that a light beam (linearly polarized) passes through an optically active material, such as a quartz crystal, and projected vertically on the optical axis, the output beam will be polarized equatorially, and the vibration level will rotate at a certain angle [1], [2], [3]. A number of crystals, liquids, solutions, and vapors rotate the electric field of linearly polarized light that passes through them [4], [5], [6], [7]. Many different physical effects are applied to optical isotropic and transparent materials that cause them to behave as optical active materials, where they are able to rotate the polarization level of the polarized light linearly and pass through it [8], [9], [10]. These effects include mechanical strength, electric field, and magnetic field. By placing one of these effects on an optically transparent medium, it changes the behavior of the light travelling through it [11].

Orbits of magnetized charged particles in parabolic and inverse electrostatic potentials

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
P. M. Bellan
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
Charged Particle ◽  
Penning Trap ◽  
Axial Magnetic Field ◽  
Charged Particles ◽  
Analytic Solutions ◽  
The Other ◽  
Particle Orbit ◽  
Slow Frequency

Analytic solutions are presented for the orbit of a charged particle in the combination of a uniform axial magnetic field and parabolic electrostatic potential. These trajectories are shown to correspond to the sum of two individually rotating vectors with one vector rotating at a constant fast frequency and the other rotating in the same sense but with a constant slow frequency. These solutions are related to Penning trap orbits and to stochastic orbits. If the lengths of the two rotating vectors are identical, the particle has zero canonical angular momentum in which case the particle orbit will traverse the origin. If the potential has an inverse dependence on distance from the source of the potential, the particle can impact the source. Axis-encircling orbits are where the length of the vector associated with the fast frequency is longer than the vector associated with the slow frequency. Non-axis-encircling orbits are the other way around.

Spot-size evolution of laser beam propagating in plasma embedded in axial magnetic field

2007 ◽  
Vol 14 (11) ◽  
pp. 114504 ◽  
Author(s):  
Pallavi Jha ◽  
Rohit K. Mishra ◽  
Ajay K. Upadhyay ◽  
Gaurav Raj
Keyword(s):  
Magnetic Field ◽  
Laser Beam ◽  
Axial Magnetic Field ◽  
Spot Size ◽  
Size Evolution

scholarly journals Quantum behavior of a charged particle in an axial magnetic field

2004 ◽  
Vol 70 (5) ◽  
Author(s):  
Ashok Das ◽  
J. Frenkel ◽  
S. H. Pereira ◽  
J. C. Taylor
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Axial Magnetic Field ◽  
Quantum Behavior

On an electron in a nonuniform axial magnetic field in a uniformly rotating frame

2019 ◽  
Vol 34 (33) ◽  
pp. 1950229
Author(s):  
K. Bakke ◽  
R. F. Ribeiro ◽  
C. Salvador
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Symmetry Axis ◽  
Axial Magnetic Field ◽  
Radial Distance ◽  
Nonuniform Magnetic Field ◽  
Rotating Frame ◽  
The Magnetic Field

The interaction of an electron with a nonuniform axial magnetic field is analyzed in a uniformly rotating frame. In particular, the magnetic field is proportional to the square of the radial distance from the symmetry axis. Then, in search of analytical solutions to the Schrödinger equation, it is shown that these solutions are possible if the nonuniform magnetic field possesses a discrete set of values.

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