摘要
经典电磁场互易定理(即洛伦兹互易定理)作为电磁学重要的理论之一,被广泛应用于通信、天线信号传输和电磁成像等诸多领域,它是一种“能量型”互易定理.已有研究用微分形式扩展“Rumsey反应”的概念,使其同时包含了洛伦兹力密度反应和功率密度反应项.进一步有研究从麦克斯韦方程组导出了动量互易定理.动量互易定理与洛伦兹互易定理一样,既可以用于理论分析,也可以解决实际应用问题.因此利用洛伦兹互易定理可导出惠更斯原理,本文利用动量互易定理导出惠更斯原理.
The classical reciprocity theorem of electromagnetic field proposed by Lorentz H.A. in 1896 is one of the important theories of electromagnetics. The Lorentz reciprocity theorem is widely used in many fields such as communication, antenna signal transmission, and electromagnetic imaging. The Lorentz reciprocity theorem is an “ energy-based” reciprocity theorem. Over the past hundred years, some new reciprocity theorems of electromagnetic field have been discovered, including reciprocity theorems in frequency domain and time domain. In 2020, Lindell et al. extended the concept of the ’Rumsey reaction’ in a differential form to include both the Lorentz force density reaction term and the power density reaction term. In the same year, Liu et al.derived the momentum reciprocity theorem from the Maxwell’s equations. The momentum reciprocity theorem,like the Lorentz reciprocity theorem, can be used for both theoretical analysis and practical applications.Huygens’ principle is usually derived by the Lorentz reciprocity theorem. In this paper, the momentum reciprocity theorem is employed to derive the Huygens’ principle.
作者
刘国强
刘婧
Liu Guo-Qiang;Liu Jing(Institute of Electrical Engineering,Chinese Academy of Sciences,Beijing 100190,China;School of Electronic,Electrical and Communication Engineering,University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2022年第14期15-19,共5页
Acta Physica Sinica
基金
国家自然科学基金重点项目(批准号:51937010)
国家自然科学基金青年科学基金(批准号:51907191)资助的课题.
