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We theoretically propose a synthetic frequency dimension scheme to controlthe spectrum of a light beam propagating through an array of evanescentlycoupled waveguides modulated in time by a propagating sound wave via theacousto-optical effect. Configurations are identified where the emergingtwo-dimensional synthetic space-frequency lattice displays a non-trivialtopological band structure. The corresponding chiral edge states can beexploited to manipulate the frequency spectrum of an incident beam in a robustway. In contrast to previous works, our proposal is not based on discretehigh-Q cavity modes, which paves the way to the manipulation of broadbandsignals.

Topologically protected frequency control of broadband signals in dynamically modulated waveguide arrays