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Title: A Thin Lens Model for Charged-Particle RF Accelerating Gaps

Abstract

Presented is a thin-lens model for an RF accelerating gap that considers general axial fields without energy dependence or other a priori assumptions. Both the cosine and sine transit time factors (i.e., Fourier transforms) are required plus two additional functions; the Hilbert transforms the transit-time factors. The combination yields a complex-valued Hamiltonian rotating in the complex plane with synchronous phase. Using Hamiltonians the phase and energy gains are computed independently in the pre-gap and post-gap regions then aligned using the asymptotic values of wave number. Derivations of these results are outlined, examples are shown, and simulations with the model are presented.

Authors:
 [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1408581
Report Number(s):
ORNL/TM-2017/395
DOE Contract Number:
AC05-00OR22725
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Allen, Christopher K. A Thin Lens Model for Charged-Particle RF Accelerating Gaps. United States: N. p., 2017. Web. doi:10.2172/1408581.
Allen, Christopher K. A Thin Lens Model for Charged-Particle RF Accelerating Gaps. United States. doi:10.2172/1408581.
Allen, Christopher K. Sat . "A Thin Lens Model for Charged-Particle RF Accelerating Gaps". United States. doi:10.2172/1408581. https://www.osti.gov/servlets/purl/1408581.
@article{osti_1408581,
title = {A Thin Lens Model for Charged-Particle RF Accelerating Gaps},
author = {Allen, Christopher K.},
abstractNote = {Presented is a thin-lens model for an RF accelerating gap that considers general axial fields without energy dependence or other a priori assumptions. Both the cosine and sine transit time factors (i.e., Fourier transforms) are required plus two additional functions; the Hilbert transforms the transit-time factors. The combination yields a complex-valued Hamiltonian rotating in the complex plane with synchronous phase. Using Hamiltonians the phase and energy gains are computed independently in the pre-gap and post-gap regions then aligned using the asymptotic values of wave number. Derivations of these results are outlined, examples are shown, and simulations with the model are presented.},
doi = {10.2172/1408581},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Jul 01 00:00:00 EDT 2017},
month = {Sat Jul 01 00:00:00 EDT 2017}
}

Technical Report:

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