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Antenna calculation in lossy media with mutual energy theorem
ZHAO Shuang-ren 1 * #,Kevin Yang 1,Kang Yang 1,Xingang Yang 1,Xintie Yang 2
1.R and D Department, Imrecons Inc., London, ontario, Canada
2.Aviation Academy, Northwestern Polytechnical university, Xi\'an, China,
*Correspondence author
#Submitted by
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Funding: none
Opened online:17 November 2016
Accepted by: none
Citation: ZHAO Shuang-ren,Kevin Yang,Kang Yang.Antenna calculation in lossy media with mutual energy theorem[OL]. [17 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4706329
 
 
Antenna system with at least one receive antenna is studied. The resultsand explanations of the reciprocity theorem and the mutual energytheorem are compared. Both the reciprocity theorem and mutual energytheorem can obtained similar results for the directivity diagram ofreceive antenna, but the conditions of the theorems established aredifferent. The mutual energy theorem is established in lossless media,the reciprocity theorem is established in symmetric media. Since theempty space is lossless and symmetric media, hence in empty spaceboth theorems are established. The explanations of the two theoriesare quite different. In the reciprocity theorem both transmitter andreceiver send retarded potentials. In the mutual energy theorem thetransmitter sends retarded potential and the receiver sends advancedpotential. This article studies the case where the media is lossy.Assume the media is still symmetric, hence the reciprocity theorem still established.The same result can be obtained by the reciprocity theorem comparedto the case where the media is lossless. For the mutual energy theoremit is not established in lossy media. However it can be extended tolossy media with a energy lossy item. From mutual energy theorem wecan obtained a correct result that the energy sends out by the transmitterequals to the energy loss on the media pluses the received energyof the receiver. Hence the extended mutual energy theorem can offercorrect result and the reciprocity theorem cannot. The result of this articlecan be further tested by a transmitter and receiver antenna in saltwater. If the mutual energy theorem wins that is not only offer amethod for antenna calculation in lossy media, but also further supportsthe absorber theory of Wheeler and Feynman, and the transactionalinterpretation for quantum physics and hence is very meaningful.
Keywords:Electromagnetic field; Antenna; Advanced potential; Advanced wave; Wave function collapse; Photon
 
 
 

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