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Superconducting radio-frequency (SRF) technology has been widely used in modern particle accelerators. For high-current energy recovery linac (ERL) machines, effective damping of higher-order modes (HOMs) is essential to maintain beam stability and reduce cryogenic losses. In this paper, waveguides are employed to extract the dangerous HOMs induced by high-current beams. RF design based on the waveguide HOM-damping scheme have been studied and optimized. The scheme was applied to a single-cell cavity for electromagnetic simulations, demonstrating effective suppression of the dominant HOMs while keeping the fundamental mode below cutoff. The single-cell waveguide HOM-damping cavity, adopting the TESLA shape with an enlarged beam pipe, is currently under fabrication and will be served to validate the waveguide fabrication techniques.
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