An analogical study of wave equations,physical quantities,conservation and reciprocity equations between electromagnetic and elastic waves  

作　　者：Yuchen Zang 臧雨宸(School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China)

机构地区：[1]School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China

出　　处：《Chinese Physics B》2024年第11期296-304,共9页中国物理B（英文版）

基　　金：funded by the National Natural Science Foundation of China(Grant No.12404507);the Natural Science Research of Jiangsu Higher Education Institutions of China(Grant No.24KJB140013);the Scientific Startup Foundation of Nanjing Normal University(Grant No.184080H201B49).

摘　　要：This paper presents an analogical study between electromagnetic and elastic wave fields,with a one-to-one correspondence principle established regarding the basic wave equations,the physical quantities and the differential operations.Using the electromagnetic-to-elastic substitution,the analogous relations of the conservation laws of energy and momentum are investigated between these two physical fields.Moreover,the energy-based and momentum-based reciprocity theorems for an elastic wave are also derived in the time-harmonic state,which describe the interaction between two elastic wave systems from the perspectives of energy and momentum,respectively.The theoretical results obtained in this analysis can not only improve our understanding of the similarities of these two linear systems,but also find potential applications in relevant fields such as medical imaging,non-destructive evaluation,acoustic microscopy,seismology and exploratory geophysics.

关 键 词：analogical study electromagnetic waves elastic waves wave equations physical quantities conservation laws reciprocity theorems 

分 类 号：O441.4[理学—电磁学]