Degrees of Freedom and Sampling Representation of Electromagnetic Fields: Concepts and applications.

IF 5.7 4区计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Antennas and Propagation Magazine Pub Date : 2024-12-30 DOI:10.1109/MAP.2024.3513216

Ovidio Mario Bucci;Marco Donald Migliore

引用次数: 0

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.

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电磁场的自由度和采样表示：概念和应用。

本文回顾了辐射或散射场的自由度数（DOF）或NDF概念的发展，以及为充分表示它们而优化的采样扩展，强调了它们对利用电磁场的通信系统可以传输的信息量的影响。在总结和讨论了自由度的概念及其与辐射场数学性质的关系之后，对电磁场空间带宽的概念进行了评述。然后，讨论了使用带限函数的场的近似，阐明了采样表示的便利性，并包括对它们相对于NDF的冗余的新分析。最后，我们提供了它们在许多实际领域应用的最新概述，无论是在应用电磁学的经典领域还是在新兴的电磁信息理论领域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Antennas and Propagation Magazine 工程技术-工程：电子与电气

CiteScore

7.00

自引率

5.70%

发文量

186

审稿时长

3 months

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.