Abstract
A novel configuration of a reltron, referred to as the biperiodic reltron, has been proposed to generate gigawatts-level RF radiation. It uses a modified modulation cavity, in which double-side coupled modulation cavities are biperiodically associated instead of a single-side coupled modulation cavity as in the conventional case. All three feasible resonating modes, i.e., 0, <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\pi $</tex-math> </inline-formula> /2, and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\pi $</tex-math> </inline-formula> modes, generated concurrently at the two different resonant frequencies provided a good field stability against unwanted perturbations. With the input beam current and voltage of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\sim$</tex-math> </inline-formula> 53 kA and 400 kV, respectively, the proposed biperiodic reltron has predicted <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\sim$</tex-math> </inline-formula> 12-GW RF power generation with <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\sim$</tex-math> </inline-formula> 57% efficiency using particle-in-cell (PIC) simulation.
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