{"title":"电磁场的自由度和采样表示:概念和应用。","authors":"Ovidio Mario Bucci;Marco Donald Migliore","doi":"10.1109/MAP.2024.3513216","DOIUrl":null,"url":null,"abstract":"This article reviews the development of the concept of the number of degrees of freedom (DOF), or NDF, of radiated or scattered fields and of optimized sampling expansions for their adequate representation, highlighting their impact on the amount of information that a communication system exploiting electromagnetic fields can transmit. After summarizing and discussing the concept of DOF and its relationship with the mathematical properties of the radiated fields, the concept of spatial bandwidth of the electromagnetic field is reviewed. Then, the approximation of the field using band-limited functions is discussed, clarifying the convenience of sampling representations and including a new analysis of their redundancy with respect to the NDF. Finally, we provide an updated overview of their application in many fields of practical interest, both in classical areas of applied electromagnetics and in the emerging electromagnetic information theory sector.","PeriodicalId":13090,"journal":{"name":"IEEE Antennas and Propagation Magazine","volume":"67 3","pages":"10-22"},"PeriodicalIF":5.7000,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Degrees of Freedom and Sampling Representation of Electromagnetic Fields: Concepts and applications.\",\"authors\":\"Ovidio Mario Bucci;Marco Donald Migliore\",\"doi\":\"10.1109/MAP.2024.3513216\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article reviews the development of the concept of the number of degrees of freedom (DOF), or NDF, of radiated or scattered fields and of optimized sampling expansions for their adequate representation, highlighting their impact on the amount of information that a communication system exploiting electromagnetic fields can transmit. After summarizing and discussing the concept of DOF and its relationship with the mathematical properties of the radiated fields, the concept of spatial bandwidth of the electromagnetic field is reviewed. Then, the approximation of the field using band-limited functions is discussed, clarifying the convenience of sampling representations and including a new analysis of their redundancy with respect to the NDF. Finally, we provide an updated overview of their application in many fields of practical interest, both in classical areas of applied electromagnetics and in the emerging electromagnetic information theory sector.\",\"PeriodicalId\":13090,\"journal\":{\"name\":\"IEEE Antennas and Propagation Magazine\",\"volume\":\"67 3\",\"pages\":\"10-22\"},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2024-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Antennas and Propagation Magazine\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10817797/\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Antennas and Propagation Magazine","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10817797/","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Degrees of Freedom and Sampling Representation of Electromagnetic Fields: Concepts and applications.
This article reviews the development of the concept of the number of degrees of freedom (DOF), or NDF, of radiated or scattered fields and of optimized sampling expansions for their adequate representation, highlighting their impact on the amount of information that a communication system exploiting electromagnetic fields can transmit. After summarizing and discussing the concept of DOF and its relationship with the mathematical properties of the radiated fields, the concept of spatial bandwidth of the electromagnetic field is reviewed. Then, the approximation of the field using band-limited functions is discussed, clarifying the convenience of sampling representations and including a new analysis of their redundancy with respect to the NDF. Finally, we provide an updated overview of their application in many fields of practical interest, both in classical areas of applied electromagnetics and in the emerging electromagnetic information theory sector.
期刊介绍:
IEEE Antennas and Propagation Magazine actively solicits feature articles that describe engineering activities taking place in industry, government, and universities. All feature articles are subject to peer review. Emphasis is placed on providing the reader with a general understanding of either a particular subject or of the technical challenges being addressed by various organizations, as well as their capabilities to cope with these challenges. Articles presenting new results, review, tutorial, and historical articles are welcome, as are articles describing examples of good engineering. The technical field of interest of the Magazine is the same as the IEEE Antennas and Propagation Society, and includes the following: antennas, including analysis, design, development, measurement, and testing; radiation, propagation, and the interaction of electromagnetic waves with discrete and continuous media; and applications and systems pertinent to antennas, propagation, and sensing, such as applied optics, millimeter- and sub-millimeter-wave techniques, antenna signal processing and control, radio astronomy, and propagation and radiation aspects of terrestrial and space-based communication, including wireless, mobile, satellite, and telecommunications.