{"title":"Multiple super-transmission angle and Klein tunneling of elastic wave","authors":"Hongzhu Li, Xiaofei Lyu, Qian Ding, Tianzhi Yang","doi":"10.1007/s00707-024-04211-7","DOIUrl":null,"url":null,"abstract":"<div><p>Klein tunneling is a fascinating phenomenon in quantum mechanics, which has been discovered in acoustic metamaterials. However, most of the present theory and experiments are limited in normal impinging elastic wave. In this letter, we explore the possibilities for oblique tunneling for elastic wave. We introduce a unique approach by constructing a kind of one-dimensional tunneling model with two similar phononic crystals, extending tunneling beyond normal incidence. Supported by the quantum potential barrier model and pseudospin conservation principle, we demonstrate the super-transmission caused by tunneling at various angles, influenced by the thickness of potential barrier and Klein-like tunneling independent on thickness of that. Our results, confirmed through simulations and experiments, open avenues for constructing superlattices and exhibit potential applications in wave control and covert communications, emphasizing new dimensions in quantum tunneling research.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1289 - 1298"},"PeriodicalIF":2.3000,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04211-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Klein tunneling is a fascinating phenomenon in quantum mechanics, which has been discovered in acoustic metamaterials. However, most of the present theory and experiments are limited in normal impinging elastic wave. In this letter, we explore the possibilities for oblique tunneling for elastic wave. We introduce a unique approach by constructing a kind of one-dimensional tunneling model with two similar phononic crystals, extending tunneling beyond normal incidence. Supported by the quantum potential barrier model and pseudospin conservation principle, we demonstrate the super-transmission caused by tunneling at various angles, influenced by the thickness of potential barrier and Klein-like tunneling independent on thickness of that. Our results, confirmed through simulations and experiments, open avenues for constructing superlattices and exhibit potential applications in wave control and covert communications, emphasizing new dimensions in quantum tunneling research.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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