{"title":"Analytical study to control phase gradient in elastic meta-interface for wave mode conversions","authors":"Mohammad Daud, Jongmin Shim","doi":"10.1016/j.ijengsci.2025.104388","DOIUrl":null,"url":null,"abstract":"<div><div>We present an analytical and design framework for achieving efficient elastic wave mode conversion across meta-interfaces governed by Generalized Snell’s Law (GSL), which prescribes wave motion based on a spatial phase gradient along the interface. In contrast to conventional optimization-based approaches, our method provides clear physical insight into the mechanism of pressure-to-shear wave conversion through a simplified one-dimensional axial wave model with the transfer matrix approach. This model yields analytical expressions for geometric conditions and identifies the relevant design parameter space. Based on this framework, we propose a compact chiral-pattern subunit with a frequency-scalable geometry, enabling straightforward implementation across a range of wave conditions. Full-scale numerical simulations confirm that the resulting meta-interface achieves strong mode conversion performance and accurately reproduces key phenomena including transmitted angles. Additionally, we demonstrate symmetric transmission by introducing mirrored phase gradients, further validating the flexibility of the GSL-based design. While the conversion efficiency is constrained by angular limits inherent to the material’s Poisson ratio, the framework provides a foundation for future improvements. This work bridges analytical modeling and practical design, offering an interpretable and scalable approach to engineered wave manipulation.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"217 ","pages":"Article 104388"},"PeriodicalIF":5.7000,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722525001739","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We present an analytical and design framework for achieving efficient elastic wave mode conversion across meta-interfaces governed by Generalized Snell’s Law (GSL), which prescribes wave motion based on a spatial phase gradient along the interface. In contrast to conventional optimization-based approaches, our method provides clear physical insight into the mechanism of pressure-to-shear wave conversion through a simplified one-dimensional axial wave model with the transfer matrix approach. This model yields analytical expressions for geometric conditions and identifies the relevant design parameter space. Based on this framework, we propose a compact chiral-pattern subunit with a frequency-scalable geometry, enabling straightforward implementation across a range of wave conditions. Full-scale numerical simulations confirm that the resulting meta-interface achieves strong mode conversion performance and accurately reproduces key phenomena including transmitted angles. Additionally, we demonstrate symmetric transmission by introducing mirrored phase gradients, further validating the flexibility of the GSL-based design. While the conversion efficiency is constrained by angular limits inherent to the material’s Poisson ratio, the framework provides a foundation for future improvements. This work bridges analytical modeling and practical design, offering an interpretable and scalable approach to engineered wave manipulation.
期刊介绍:
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.