A Thin Lens Model for ChargedParticle RF Accelerating Gaps
Abstract
Presented is a thinlens 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 transittime factors. The combination yields a complexvalued Hamiltonian rotating in the complex plane with synchronous phase. Using Hamiltonians the phase and energy gains are computed independently in the pregap and postgap 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:
 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/TM2017/395
 DOE Contract Number:
 AC0500OR22725
 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 ChargedParticle RF Accelerating Gaps. United States: N. p., 2017.
Web. doi:10.2172/1408581.
Allen, Christopher K. A Thin Lens Model for ChargedParticle RF Accelerating Gaps. United States. doi:10.2172/1408581.
Allen, Christopher K. Sat .
"A Thin Lens Model for ChargedParticle 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 ChargedParticle RF Accelerating Gaps},
author = {Allen, Christopher K.},
abstractNote = {Presented is a thinlens 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 transittime factors. The combination yields a complexvalued Hamiltonian rotating in the complex plane with synchronous phase. Using Hamiltonians the phase and energy gains are computed independently in the pregap and postgap 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}
}
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