A surgical instrument and method, for example to accomplish phacoemulsification, are disclosed. The surgical instrument includes a handpiece that has a piezoelectric transducer, and a titanium needle having a free distal tip and a supported end that is attached to the handpiece. The titanium needle has a substantially cylindrical portion with an outer diameter in the range 0.5 mm to 1.5 mm and a length in the range 12 mm to 37 mm. A circuit drives the piezoelectric transducer to periodically longitudinally expand and longitudinally contract at a driving frequency. The driving frequency is selected to ring the titanium needle with a standing wave that is characterized by longitudinal expansion and longitudinal contraction, the standing wave having a distal node of minimum amplitude in the substantially cylindrical portion.
