{"title":"声硬超材料的时域均匀化","authors":"A. Maurel, J. Marigo, B. Lombard","doi":"10.1109/METAMATERIALS.2016.7746495","DOIUrl":null,"url":null,"abstract":"We present a homogenization method based on a matched asymptotic expansion technique for sound hard materials structured at subwavelength scale. Considering the wave equation in the time domain, jump conditions are derived for the acoustic pressure and the normal velocity across an equivalent interface with non zero thickness. These jump conditions are implemented in a numerical scheme and compared to the results of the direct problem.","PeriodicalId":6587,"journal":{"name":"2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS)","volume":"5 1","pages":"223-225"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Homogenization of sound hard metamaterials in the time domain\",\"authors\":\"A. Maurel, J. Marigo, B. Lombard\",\"doi\":\"10.1109/METAMATERIALS.2016.7746495\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a homogenization method based on a matched asymptotic expansion technique for sound hard materials structured at subwavelength scale. Considering the wave equation in the time domain, jump conditions are derived for the acoustic pressure and the normal velocity across an equivalent interface with non zero thickness. These jump conditions are implemented in a numerical scheme and compared to the results of the direct problem.\",\"PeriodicalId\":6587,\"journal\":{\"name\":\"2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS)\",\"volume\":\"5 1\",\"pages\":\"223-225\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/METAMATERIALS.2016.7746495\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/METAMATERIALS.2016.7746495","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Homogenization of sound hard metamaterials in the time domain
We present a homogenization method based on a matched asymptotic expansion technique for sound hard materials structured at subwavelength scale. Considering the wave equation in the time domain, jump conditions are derived for the acoustic pressure and the normal velocity across an equivalent interface with non zero thickness. These jump conditions are implemented in a numerical scheme and compared to the results of the direct problem.