Dispersion relations for 1d high-gain FELs

Stephen D. Webb; Vladimir N. Litvinenko

Dispersion relations for 1d high-gain FELs

Stephen D. Webb
, Vladimir N. Litvinenko

Physics and Astronomy

Brookhaven National Laboratory
Stony Brook University

Research output: Contribution to conference › Paper › peer-review

2 Scopus citations

Abstract

We present analytical results for the one-dimensional dispersion relation for high-gain FELs. Using kappa-n distributions, we obtain analytical relations between the dispersion relations for various order kappa distributions. Since an exact solution exists for the kappa-1 (Lorentzian) distribution, this provides some insight into the number of modes on the way to the Gaussian distribution.

Original language	English
Pages	56-59
Number of pages	4
State	Published - 2010
Event	32nd International Free Electron Laser Conference, FEL 2010 - Malmo City, Sweden Duration: Aug 23 2010 → Aug 27 2010

Conference

Conference	32nd International Free Electron Laser Conference, FEL 2010
Country/Territory	Sweden
City	Malmo City
Period	08/23/10 → 08/27/10

Cite this

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title = "Dispersion relations for 1d high-gain FELs",

abstract = "We present analytical results for the one-dimensional dispersion relation for high-gain FELs. Using kappa-n distributions, we obtain analytical relations between the dispersion relations for various order kappa distributions. Since an exact solution exists for the kappa-1 (Lorentzian) distribution, this provides some insight into the number of modes on the way to the Gaussian distribution.",

author = "Webb, \{Stephen D.\} and Litvinenko, \{Vladimir N.\}",

year = "2010",

language = "English",

pages = "56--59",

note = "32nd International Free Electron Laser Conference, FEL 2010 ; Conference date: 23-08-2010 Through 27-08-2010",

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TY - CONF

T1 - Dispersion relations for 1d high-gain FELs

AU - Webb, Stephen D.

AU - Litvinenko, Vladimir N.

PY - 2010

Y1 - 2010

N2 - We present analytical results for the one-dimensional dispersion relation for high-gain FELs. Using kappa-n distributions, we obtain analytical relations between the dispersion relations for various order kappa distributions. Since an exact solution exists for the kappa-1 (Lorentzian) distribution, this provides some insight into the number of modes on the way to the Gaussian distribution.

AB - We present analytical results for the one-dimensional dispersion relation for high-gain FELs. Using kappa-n distributions, we obtain analytical relations between the dispersion relations for various order kappa distributions. Since an exact solution exists for the kappa-1 (Lorentzian) distribution, this provides some insight into the number of modes on the way to the Gaussian distribution.

UR - https://www.scopus.com/pages/publications/84884652838

M3 - Paper

AN - SCOPUS:84884652838

SP - 56

EP - 59

T2 - 32nd International Free Electron Laser Conference, FEL 2010

Y2 - 23 August 2010 through 27 August 2010

ER -

Dispersion relations for 1d high-gain FELs

Abstract

Conference

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