电磁场反应原理与线性电路多端口互易定理  

Reaction Principle in Electromagnetic Field Theory and the Multi-port Reciprocity Theorem of a Linear Network

作　　者：邹军[1] 李俊杰[1] 

机构地区：[1]清华大学电机工程与应用电子技术系,北京100084

出　　处：《电气电子教学学报》2011年第1期23-26,共4页Journal of Electrical and Electronic Education

摘　　要：多端口互易定理是线性电路重要研究内容之一。在电磁场的反应原理基础上,本文明确了互易性的物理涵义和电磁场互易定理的成立条件。从电磁场的互易定理出发,本文推导了线性电路多端口的互易定理,指出了电路多端口互易定理成立的充分条件是网络的无源性。对于含源(独立源或受控源)的网络,从反应互易性的角度,互易定理是不成立的。The multi-port reciprocity theorem is one of the important research contents for a linear network.Based on the concept of the reaction in electromagnetic field theory,the physical insight of the reciprocity is addressed deliberately and the premise of the reciprocity theorem in electromagnetic field theory is summarized to emphasize the nature of the reciprocity.The apparently consequential result is the multi-port reciprocity theorem in accordance with the relationship between the circuit and the electromagnetic field theory.From the physical picture of the reciprocity,the passivity of the network under study is definitely the sufficient condition to make the reciprocity theorem valid.For the active network,either the dependent or the independent sources inside the network,there is no theoretical foundation to justify the reciprocity theorem in the viewpoint of the reaction principle.

关 键 词：反应原理 互易定理 多端口网络 

分 类 号：G420[文化科学—课程与教学论]