# Dynamics of modulated beams in spectral domain

## Abstract

General formalism for describing dynamics of modulated beams along linear beamlines is developed. We describe modulated beams with spectral distribution function which represents Fourier transform of the conventional beam distribution function in the 6-dimensional phase space. The introduced spectral distribution function is localized in some region of the spectral domain for nearly monochromatic modulations. It can be characterized with a small number of typical parameters such as the lowest order moments of the spectral distribution. We study evolution of the modulated beams in linear beamlines and find that characteristic spectral parameters transform linearly. The developed approach significantly simplifies analysis of various schemes proposed for seeding X-ray free electron lasers. We use this approach to study several recently proposed schemes and find the bandwidth of the output bunching in each case.

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1375890

- Report Number(s):
- LA-UR-17-27022

Journal ID: ISSN 0168-9002; TRN: US1702563

- Grant/Contract Number:
- AC52-06NA25396

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Volume: 870; Journal ID: ISSN 0168-9002

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; Accelerator Design, Technology, and Operations; Mathematics

### Citation Formats

```
Yampolsky, Nikolai A.
```*Dynamics of modulated beams in spectral domain*. United States: N. p., 2017.
Web. doi:10.1016/j.nima.2017.07.008.

```
Yampolsky, Nikolai A.
```*Dynamics of modulated beams in spectral domain*. United States. doi:10.1016/j.nima.2017.07.008.

```
Yampolsky, Nikolai A. Sun .
"Dynamics of modulated beams in spectral domain". United States.
doi:10.1016/j.nima.2017.07.008. https://www.osti.gov/servlets/purl/1375890.
```

```
@article{osti_1375890,
```

title = {Dynamics of modulated beams in spectral domain},

author = {Yampolsky, Nikolai A.},

abstractNote = {General formalism for describing dynamics of modulated beams along linear beamlines is developed. We describe modulated beams with spectral distribution function which represents Fourier transform of the conventional beam distribution function in the 6-dimensional phase space. The introduced spectral distribution function is localized in some region of the spectral domain for nearly monochromatic modulations. It can be characterized with a small number of typical parameters such as the lowest order moments of the spectral distribution. We study evolution of the modulated beams in linear beamlines and find that characteristic spectral parameters transform linearly. The developed approach significantly simplifies analysis of various schemes proposed for seeding X-ray free electron lasers. We use this approach to study several recently proposed schemes and find the bandwidth of the output bunching in each case.},

doi = {10.1016/j.nima.2017.07.008},

journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},

number = ,

volume = 870,

place = {United States},

year = {Sun Jul 16 00:00:00 EDT 2017},

month = {Sun Jul 16 00:00:00 EDT 2017}

}

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