dorsal/arxiv
View SchemaEquilibrium orbit analysis in a free-electron laser with a coaxial wiggler
| Authors | B. Maraghechi, B. Farrokhi, J. E. Willett, U. -H. Hwang |
|---|---|
| Categories | |
| ArXiv ID | physics/0002032 |
| URL | https://arxiv.org/abs/physics/0002032 |
| DOI | 10.1103/PhysRevE.61.7046 |
Abstract
An analysis of single-electron orbits in combined coaxial wiggler and axial guide magnetic fields is presented. Solutions of the equations of motion are developed in a form convenient for computing orbital velocity components and trajectories in the radially dependent wiggler. Simple analytical solutions are obtained in the radially-uniform-wiggler approximation and a formula for the derivative of the axial velocity $v_{\|}$ with respect to Lorentz factor $\gamma$ is derived. Results of numerical computations are presented and the characteristics of the equilibrium orbits are discussed. The third spatial harmonic of the coaxial wiggler field gives rise to group $III$ orbits which are characterized by a strong negative mass regime.
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"abstract": "An analysis of single-electron orbits in combined coaxial wiggler and axial\nguide magnetic fields is presented. Solutions of the equations of motion are\ndeveloped in a form convenient for computing orbital velocity components and\ntrajectories in the radially dependent wiggler. Simple analytical solutions are\nobtained in the radially-uniform-wiggler approximation and a formula for the\nderivative of the axial velocity $v_{\\|}$ with respect to Lorentz factor\n$\\gamma$ is derived. Results of numerical computations are presented and the\ncharacteristics of the equilibrium orbits are discussed. The third spatial\nharmonic of the coaxial wiggler field gives rise to group $III$ orbits which\nare characterized by a strong negative mass regime.",
"arxiv_id": "physics/0002032",
"authors": [
"B. Maraghechi",
"B. Farrokhi",
"J. E. Willett",
"U. -H. Hwang"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.61.7046",
"title": "Equilibrium orbit analysis in a free-electron laser with a coaxial wiggler",
"url": "https://arxiv.org/abs/physics/0002032"
},
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