Marie Touboul, Benjamin Vial, Raphaël Assier, Sébastien Guenneau, Richard V. Craster
{"title":"周期性分散介质的高频均质化","authors":"Marie Touboul, Benjamin Vial, Raphaël Assier, Sébastien Guenneau, Richard V. Craster","doi":"10.1137/23m159648x","DOIUrl":null,"url":null,"abstract":"Multiscale Modeling &Simulation, Volume 22, Issue 3, Page 1136-1168, September 2024. <br/> Abstract. High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.","PeriodicalId":501053,"journal":{"name":"Multiscale Modeling and Simulation","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"High-Frequency Homogenization for Periodic Dispersive Media\",\"authors\":\"Marie Touboul, Benjamin Vial, Raphaël Assier, Sébastien Guenneau, Richard V. Craster\",\"doi\":\"10.1137/23m159648x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Multiscale Modeling &Simulation, Volume 22, Issue 3, Page 1136-1168, September 2024. <br/> Abstract. High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.\",\"PeriodicalId\":501053,\"journal\":{\"name\":\"Multiscale Modeling and Simulation\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Multiscale Modeling and Simulation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/23m159648x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Multiscale Modeling and Simulation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/23m159648x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
High-Frequency Homogenization for Periodic Dispersive Media
Multiscale Modeling &Simulation, Volume 22, Issue 3, Page 1136-1168, September 2024. Abstract. High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.
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