A smoking device for aerosol-generation may comprise a device housing, a surface acoustic wave-atomizer (SAW-atomizer), a supply element, and a control system. The device housing may include a storage portion for an aerosol-forming substrate. The SAW-atomizer may include an atomization region, a first transducer, and/or a second transducer. The first transducer is configured to generate first surface acoustic waves that propagate along a surface of the SAW-atomizer. The supply element is arranged to supply the aerosol-forming substrate from the storage portion to the atomization region of the SAW-atomizer. The control system is configured to operate the SAW-atomizer to atomize the aerosol-forming substrate in the atomization region to generate an aerosol. A cartridge for such a smoking device and a method for generating an aerosol in a smoking system are also provided.