Coherent short wave radiation from a solid state free electron laser

S. A. Bogacz; J. B. Ketterson; G. K. Wong

doi:10.1016/0168-9002(86)90904-6

Coherent short wave radiation from a solid state free electron laser

S. A. Bogacz, J. B. Ketterson, G. K. Wong

MRC - Materials Research Center

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The idea of using a crystal lattice or a superlattice as an undulator for a free electron laser is explored. A purely classical treatment of relativistic positrons channeling through the proposed structure is performed in a self-consistent fashion involving the wave equation for the radiating electromagnetic field and the kinetic equation for the positron distribution function. The gain coefficient for a forward radiating field is obtained in closed analytical form and is studied numerically for a (110) planar channeling in Si. This result, combined with a feedback mechanism arising from Bragg diffraction within the basic crystal lattice, may lead to an instability of the radiation inside the crystal.

Original language	English (US)
Pages (from-to)	328-336
Number of pages	9
Journal	Nuclear Inst. and Methods in Physics Research, A
Volume	250
Issue number	1-2
DOIs	https://doi.org/10.1016/0168-9002(86)90904-6
State	Published - Sep 1 1986

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation

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10.1016/0168-9002(86)90904-6

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title = "Coherent short wave radiation from a solid state free electron laser",

abstract = "The idea of using a crystal lattice or a superlattice as an undulator for a free electron laser is explored. A purely classical treatment of relativistic positrons channeling through the proposed structure is performed in a self-consistent fashion involving the wave equation for the radiating electromagnetic field and the kinetic equation for the positron distribution function. The gain coefficient for a forward radiating field is obtained in closed analytical form and is studied numerically for a (110) planar channeling in Si. This result, combined with a feedback mechanism arising from Bragg diffraction within the basic crystal lattice, may lead to an instability of the radiation inside the crystal.",

author = "Bogacz, {S. A.} and Ketterson, {J. B.} and Wong, {G. K.}",

note = "Funding Information: We would like to acknowledge financial support from NSF Grant DMR 81-07385, the Northwestern Materials Research Center, through NSF Grant DMR 82-16972, and from the US Department of Energy . Stimulating discussions with D.Y. Smith are also acknowledged.",

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T1 - Coherent short wave radiation from a solid state free electron laser

AU - Bogacz, S. A.

AU - Ketterson, J. B.

AU - Wong, G. K.

N1 - Funding Information: We would like to acknowledge financial support from NSF Grant DMR 81-07385, the Northwestern Materials Research Center, through NSF Grant DMR 82-16972, and from the US Department of Energy . Stimulating discussions with D.Y. Smith are also acknowledged.

PY - 1986/9/1

Y1 - 1986/9/1

N2 - The idea of using a crystal lattice or a superlattice as an undulator for a free electron laser is explored. A purely classical treatment of relativistic positrons channeling through the proposed structure is performed in a self-consistent fashion involving the wave equation for the radiating electromagnetic field and the kinetic equation for the positron distribution function. The gain coefficient for a forward radiating field is obtained in closed analytical form and is studied numerically for a (110) planar channeling in Si. This result, combined with a feedback mechanism arising from Bragg diffraction within the basic crystal lattice, may lead to an instability of the radiation inside the crystal.

AB - The idea of using a crystal lattice or a superlattice as an undulator for a free electron laser is explored. A purely classical treatment of relativistic positrons channeling through the proposed structure is performed in a self-consistent fashion involving the wave equation for the radiating electromagnetic field and the kinetic equation for the positron distribution function. The gain coefficient for a forward radiating field is obtained in closed analytical form and is studied numerically for a (110) planar channeling in Si. This result, combined with a feedback mechanism arising from Bragg diffraction within the basic crystal lattice, may lead to an instability of the radiation inside the crystal.

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Coherent short wave radiation from a solid state free electron laser

Abstract

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