Transverse mode excitation and coupling in a waveguide free electron laser

Y. Pinhasi; A. Gover; R. W.B. Best; M. J. van der Wiel

doi:10.1016/0168-9002(92)91111-L

Transverse mode excitation and coupling in a waveguide free electron laser

Y. Pinhasi
, A. Gover
, R. W.B. Best
, M. J. van der Wiel

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

12 Scopus citations

Abstract

An analysis of excitation, gain-coupling and evolution of transverse electromagnetic modes in a waveguide free electron laser is presented. We use a formalism of coupled-mode analysis to find the gain-dispersion equation of the coupled waveguide modes and diagonalize the system to find the eigenmodes ("supermodes") of the coupled system and their gain. We demonstrate the use of the method to find the mutual gain of the coupled TE₂₁ TM₂₁ modes which are degenerate. A noteworthy finding is that the gain of the supermode is higher than the gain of either of the separate waveguide modes when calculated in a model where coupling is neglected. The analytically calculated results are compared to the results of a numerical 3-D FEL code.

Original language	English
Pages (from-to)	523-527
Number of pages	5
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	318
Issue number	1-3
DOIs	https://doi.org/10.1016/0168-9002(92)91111-L
State	Published - 1 Jul 1992
Externally published	Yes

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10.1016/0168-9002(92)91111-L

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title = "Transverse mode excitation and coupling in a waveguide free electron laser",

abstract = "An analysis of excitation, gain-coupling and evolution of transverse electromagnetic modes in a waveguide free electron laser is presented. We use a formalism of coupled-mode analysis to find the gain-dispersion equation of the coupled waveguide modes and diagonalize the system to find the eigenmodes ({"}supermodes{"}) of the coupled system and their gain. We demonstrate the use of the method to find the mutual gain of the coupled TE21 TM21 modes which are degenerate. A noteworthy finding is that the gain of the supermode is higher than the gain of either of the separate waveguide modes when calculated in a model where coupling is neglected. The analytically calculated results are compared to the results of a numerical 3-D FEL code.",

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T1 - Transverse mode excitation and coupling in a waveguide free electron laser

AU - Pinhasi, Y.

AU - Gover, A.

AU - Best, R. W.B.

AU - van der Wiel, M. J.

PY - 1992/7/1

Y1 - 1992/7/1

N2 - An analysis of excitation, gain-coupling and evolution of transverse electromagnetic modes in a waveguide free electron laser is presented. We use a formalism of coupled-mode analysis to find the gain-dispersion equation of the coupled waveguide modes and diagonalize the system to find the eigenmodes ("supermodes") of the coupled system and their gain. We demonstrate the use of the method to find the mutual gain of the coupled TE21 TM21 modes which are degenerate. A noteworthy finding is that the gain of the supermode is higher than the gain of either of the separate waveguide modes when calculated in a model where coupling is neglected. The analytically calculated results are compared to the results of a numerical 3-D FEL code.

AB - An analysis of excitation, gain-coupling and evolution of transverse electromagnetic modes in a waveguide free electron laser is presented. We use a formalism of coupled-mode analysis to find the gain-dispersion equation of the coupled waveguide modes and diagonalize the system to find the eigenmodes ("supermodes") of the coupled system and their gain. We demonstrate the use of the method to find the mutual gain of the coupled TE21 TM21 modes which are degenerate. A noteworthy finding is that the gain of the supermode is higher than the gain of either of the separate waveguide modes when calculated in a model where coupling is neglected. The analytically calculated results are compared to the results of a numerical 3-D FEL code.

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JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

IS - 1-3

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Transverse mode excitation and coupling in a waveguide free electron laser

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