School of Physics and Innovation Institute, Huazhong University of Science and Technology, 430074, Wuhan, China.
Department of Electrical and Computer Engineering, National University of Singapore, Singapore, 117583, Republic of Singapore.
Nat Commun. 2019 Jul 30;10(1):3411. doi: 10.1038/s41467-019-11430-3.
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.
薛定谔方程是描述量子力学系统波函数的基本方程。薛定谔方程和傍轴波动方程之间的相似形式使得人们可以从量子力学范式转变到经典场,从而产生出许多有趣的现象,包括光学超振荡行为。在这里,我们提出了一种超声超透镜,可以产生具有不同空间动量的超振荡声波包,然后将它们叠加到一个突破衍射极限的光斑上,这可以通过微小粒子的环形捕获来直观地表示。此外,基于聚焦的超振荡包,我们实验验证了超分辨率超声成像的概念验证,为先进的超声成像、生物医学应用和多功能远场超声控制开辟了超振荡超声学的领域。