Physics

Lens (geology)

Pure mathematics

Mathematics

Biology

Optics

Wave packet

Beam (structure)

Diffraction

Acoustics

Oscillation (cell signaling)

Quantum mechanics

Field (mathematics)

Genetics

Paraxial approximation

Wave equation

Classical mechanics

Ultrasonic sensor

Quantum

Nature Communications

The Schrödinger equation is a fundamental equation to describe the wave function of a quantum-mechanical system. The similar forms between the Schrödinger equation and the paraxial wave equation allow a paradigm shift from the quantum mechanics to classical fields, opening up a plethora of interesting phenomena including the optical super-oscillatory behavior. Here, we propose an ultrasonic meta-lens for generating super-oscillation acoustic wave-packets with different spatial momenta and then superimposing them to a diffraction-limit-broken spot, visually represented by the ring-shaped trapping of tiny particles. Moreover, based on the focused super-oscillation packets, we experimentally verify proof-of-concept super-resolution ultrasound imaging, opening up the arena of super-oscillation ultrasonics for advanced acoustic imaging, biomedical applications, and versatile far-field ultrasound control.

Ultrasonic super-oscillation wave-packets with an acoustic meta-lens