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@inproceedings{yu:ipac2021-mopab040,
author = {L.H. Yu},
title = {{Gain of Hard X-Ray Fel at 3 GeV and Required Parameters}},
booktitle = {Proc. IPAC'21},
pages = {178--181},
eid = {MOPAB040},
language = {english},
keywords = {FEL, electron, undulator, laser, focusing},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-MOPAB040},
url = {https://jacow.org/ipac2021/papers/mopab040.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-MOPAB040},
abstract = {{We develop a tool for the calculation to study the conditions for a hard x-ray FEL oscillator based on an electron beam in the medium energy range from 3 to 4.5 GeV. We show that the approach developed by K.J. Kim et al. for the small-signal low gain formula can be modified so that the gain can be derived without taking the "no focusing approximation" adopted in the approach so that a strong focusing can be applied. We also derive the formula to allow for the gain calculation of harmonic lasing. The gain in this formula can be cast in the form of a product of two factors with one of them only depends on the harmonic number, undulator period, and gap. Thus this factor can be used to show that it is favorable to use harmonic lasing to achieve hard x-ray FEL working in the medium energy range and in the small-signal low gain regime.}},
}