UNIQUE DETERMINATION OF PERIODIC POLYHEDRAL STRUCTURES BY SCATTERED ELECTROMAGNETIC FIELDS
Publication in refereed journal

香港中文大學研究人員

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其它資訊
摘要This work is concerned with the unique determination of a periodic diffraction grating profile in three dimensions by some scattered electromagnetic fields measured above the grating. In general, it is well known that global uniqueness may not be true when the measurement is only taken for one incident field. Our goal is to completely characterize the global uniqueness properties when the periodic structure is of polyhedral type. Corresponding to each incident plane wave, we are able to classify all unidentifiable structures into three classes and show that any periodic polyhedral structure can be uniquely determined by one incident field if and only if it belongs to none of the three classes. Consequently, the minimum number of incident waves required for the unique determination of a periodic polyhedral structure can be easily read.
著者Bao G, Zhang H, Zou J
期刊名稱Transactions of the American Mathematical Society
出版年份2011
月份9
日期1
卷號363
期次9
出版社AMER MATHEMATICAL SOC
頁次4527 - 4551
國際標準期刊號0002-9947
電子國際標準期刊號1088-6850
語言英式英語
關鍵詞dihedral group; inverse scattering; Periodic structure; uniqueness
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2021-25-02 於 01:16