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Updated: Aug 30, 2026

Measurement of Chladni Mode Shapes with an Optical Lever Method
Published on: June 5, 2020
Detection of object resonances by vibro-acoustography and numerical vibrational mode identification
Farid G Mitri1, Philippe Trompette, Jean-Yves Chapelon
1National Institute of Health and Medical Research, INSERM Unit 556-Therapeutic Ultrasound Research Laboratory, 151 Cours Albert Thomas, 69424 Lyon, cedex 03, France. mitri@ieee.org
Abstract:
Chalk sphere and cylinder resonance frequencies related to compressional and bending modes were detected in water, using vibro-acoustography, a relatively new imaging technique. The variable (radiation) force of low-frequency excitation, produced by intersecting two primary focused ultrasound waves with slightly different frequencies, forces the object to vibrate. The low-frequency acoustic emission field, resulting from object vibration, was detected by a hydrophone. By fixing the object at the focus of the ultrasound beam and sweeping the frequency of one of the primary beams within a chosen bandwidth, it was possible to detect some of the resonance frequencies (those related to compressional and bending modes) via variations in acoustic emission amplitude. Experimental results showed excellent agreement with finite element calculations. This method can be used to characterize the presence of heterogeneities in various media, in the field of materials science or biology.
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