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<p>Future wireless systems demand reconfigurable radio frequency (RF) filters; however, bandwidth-tunable acoustic filters typically rely on cascaded resonators and multiple tuning parameters. We propose a topological RF filter architecture utilizing a synthetic frequency dimension within a single mechanical resonator. By treating eigenmodes as lattice sites and implementing the Su–Schrieffer–Heeger coupling pattern via difference-frequency parametric pumping, we demonstrate complex filtering functionality in a single element. A numerical analysis based on the coupled-mode theory showed that a distinct passband is formed at the bandgap center only in the nontrivial topological phase; at a practical reference design point, the <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(-3\)</EquationSource><EquationSource Format="MATHML"><math><mo>−</mo><mn>3</mn></math></EquationSource></InlineEquation> dB bandwidth was ~350 Hz with an insertion loss of ~6–7 dB, and it could be continuously reconfigured using the pump-amplitude ratio. This approach offers a compact route to electrically reconfigurable, multi-pole-like RF filtering with few control parameters. This synthetic-dimension approach offers a design pathway toward compact, area-efficient RF filters that exploit topological protection within a single mechanical element.</p>

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Electrically reconfigurable topological RF filter utilizing a synthetic frequency dimension in a single mechanical resonator

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月9日

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  • Takashi Ozaki,
  • Norikazu Ohta,
  • Jiaju Ma,
  • Motohiro Fujiyoshi

摘要

Future wireless systems demand reconfigurable radio frequency (RF) filters; however, bandwidth-tunable acoustic filters typically rely on cascaded resonators and multiple tuning parameters. We propose a topological RF filter architecture utilizing a synthetic frequency dimension within a single mechanical resonator. By treating eigenmodes as lattice sites and implementing the Su–Schrieffer–Heeger coupling pattern via difference-frequency parametric pumping, we demonstrate complex filtering functionality in a single element. A numerical analysis based on the coupled-mode theory showed that a distinct passband is formed at the bandgap center only in the nontrivial topological phase; at a practical reference design point, the \(-3\)−3 dB bandwidth was ~350 Hz with an insertion loss of ~6–7 dB, and it could be continuously reconfigured using the pump-amplitude ratio. This approach offers a compact route to electrically reconfigurable, multi-pole-like RF filtering with few control parameters. This synthetic-dimension approach offers a design pathway toward compact, area-efficient RF filters that exploit topological protection within a single mechanical element.