One-dimensional Model of a Gamma Klystron
Andriy Kostyuk, Andrei Korol, Andrey Solov'yov, and Walter Greiner

TL;DR
This paper proposes a novel gamma-ray amplification scheme using crystalline undulators in a gamma klystron, demonstrating lower particle density requirements compared to simpler schemes.
Contribution
It introduces a new gamma klystron scheme with two crystals for gamma-ray amplification, showing improved efficiency over single-crystal methods.
Findings
Gamma klystron scheme achieves amplification at lower particle densities.
Two-crystal setup enhances gamma-ray amplification efficiency.
Comparison shows advantages over single-crystal schemes.
Abstract
A new scheme for amplification of coherent gamma rays is proposed. The key elements are crystalline undulators - single crystals with periodically bent crystallographic planes exposed to a high energy beam of charged particles undergoing channeling inside the crystals. The scheme consists of two such crystals separated by a vacuum gap. The beam passes the crystals successively. The particles perform undulator motion inside the crystals following the periodic shape of the crystallographic planes. Gamma rays passing the crystals parallel to the beam get amplified due to interaction with the particles inside the crystals. The term `gamma klystron' is proposed for the scheme because its operational principles are similar to those of the optical klystron. A more simple one-crystal scheme is considered as well for the sake of comparison. It is shown that the gamma ray amplification in the…
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