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Non-Hermitian elastodynamics

Project description

Quantum mechanics and elastodynamics in metamaterials

Metamaterials, engineered materials with exotic properties unlike any seen in nature, are at the forefront of multidisciplinary research in many fields. Metamaterials that alter the propagation of waves including sound, water, and light in unnatural ways have attracted growing attention in recent years and elastic waves modification is of particular interest. The coupling between shear and pressure waves, which is unique to elastodynamics, can minimise or remove external energy from processes, generating exotic phenomena. The EU-funded EXCEPTIONAL project will investigate shear-pressure wave coupling together with a quantum mechanical formalism that describes nonconservative systems that exchange energy with their environment. Understanding the mechanics of wave propagation in metamaterials will support rational design of wave-shaping devices.

Objective

The properties of artificial materials can be tailored to exhibit extraordinary properties by cleverly engineering their composition. The development of such metamaterials is a prominent thrust in engineering today. One of the greatest challenges is to engineer metamaterials that manipulate waves by design. Of particular interest are elastic waves, since numerous mechanical applications require their control; vibration isolation, ultrasonography, energy harvesting and cloaking, to name a few. The forefront of research in wave control emerged from a seemingly unrelated theory, quantum mechanics, with the development of its non-Hermitian formalism, describing nonconservative systems that exchange energy with their environment. By drawing analogies between this formalism and those of classical systems, researchers have discovered phenomena that defy intuition, phenomena such as zero reflection and chiral absorption, and have exploited them to control light, sound, and elastic waves. Can we go beyond these analogies?

I suggest that the answer is hidden in the tensorial nature of elastodynamics, a nature that is unparalleled in other physics. This conjecture is motivated by my group's recent discovery that even conservative stratified solids can generate non-Hermitian features, such as negative refraction and exceptional points. The mechanism that obviates external energy is the coupling between shear and pressure waves that is unique to elastodynamics. What happens when judiciously exploiting this distinctive mechanism together with concepts from non-Hermitian quantum mechanics? In tackling this question I expect to unveil novel phenomena that are inaccessible in other physics. Understanding the mechanics will lead to exceptional ways of shaping waves, thereby benefiting engineering applications that require robust control of elastic motion.

Host institution

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Net EU contribution
€ 1 594 166,00
Address
SENATE BUILDING TECHNION CITY
32000 Haifa
Israel

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Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 1 594 166,25

Beneficiaries (1)