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Could ultrasonic vibrations propagated into the solar cells be used to dislodge dust in environments like the surface of Mars or the moon?

Obviously the waves would need to be induced in the substrate other than through the air.

As an example; on earth we use ultrasonic cleaners to clean electronics all the time.

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Probably not.
Ultrasonic cleaners for electronics work by immersing the dirty item in a bath that both transmits vibrations to the item and collects the dirt that's been shaken off. Vibrating a solar panel directly, you'd also have to invert or greatly tilt the panel to make the dirt fall off. Even so, the dust might stay stuck on, due to static electricity. That's another problem that a bath solves.

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