ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
An analogical study of wave equations, physical quantities, conservation and reciprocity equations between electromagnetic and elastic waves |
Yuchen Zang(臧雨宸)† |
School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China |
|
|
Abstract 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.
|
Received: 28 June 2024
Revised: 16 August 2024
Accepted manuscript online: 04 September 2024
|
PACS:
|
43.20.Wd
|
(Analogies)
|
|
41.20.Jb
|
(Electromagnetic wave propagation; radiowave propagation)
|
|
46.40.-f
|
(Vibrations and mechanical waves)
|
|
Fund: This work was 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), and the Scientific Startup Foundation of Nanjing Normal University (Grant No. 184080H201B49). |
Corresponding Authors:
Yuchen Zang
E-mail: zangyuchen@nnu.edu.cn
|
Cite this article:
Yuchen Zang(臧雨宸) An analogical study of wave equations, physical quantities, conservation and reciprocity equations between electromagnetic and elastic waves 2024 Chin. Phys. B 33 114301
|
[1] Carcione J M and Cavallini F 1995 Wave Motion 21 149 [2] Pronic O R, Markovic V V and Milovanovic B D 1998 Melecon’98-9th Mediterranean Electrotechnical Conference 1&2 241 [3] Carcione J M and Robinson E A 2002 Stud. Geophys. Geod. 46 321 [4] Dukata A and Kapelewski J 2008 Acta Phys. Pol. A 114 A69 [5] Burns L, Bliokh K Y, Nori F and Dressel J 2020 New J. Phys. 22 053050 [6] Lafarge D 2021 Top. Appl. Phys. 143 205 [7] Liu G Q and Liu J 2024 Acoustic Reciprocity Theorems (Beijing: Science Press) (in Chinese) [8] Lorentz H A 1896 Amsterdammer Akademie der Wetenschappen 4 176 [9] Carson J R 1924 Bell Syst. Tech. J. 3 393 [10] Carson J R 1939 Bell Syst. Tech. J. 9 325 [11] Crowley T H 1954 J. Appl. Phys. 25 119 [12] Welch W J 1960 IEEE Trans. Antennas. Propag. 8 68 [13] de Hoop A T 1987 Radio Sci. 22 1171 [14] Tai C T 1992 IEEE Trans. Antennas Propag. 40 675 [15] Afanasiev G N 2001 J. Phys. D-Appl. Phys. 34 539 [16] Liu G Q, Li Y Y and Liu J 2020 IEEE Antennas Wirel. Propag. Lett. 19 2159 [17] Lord Rayleigh 1894 The Theory of Sound (London: Macmillan) [18] Bojarski N N 1983 J. Acoust. Soc. Am. 74 281 [19] Fischer M and Langenberg K J 1984 IEEE Trans. Antennas Propag. 32 1080 [20] de Hoop A T 1988 J. Acoust. Soc. Am. 84 1877 [21] de Hoop A T and Stam H J 1988 Wave Motion 10 479 [22] de Hoop A T 1990 J. Acoust. Soc. Am. 87 1932 [23] Wapenaar C P A and Grimbergen J L T 1996 Geophys. J. Int. 127 169 [24] Wapenaar C P A, Dillen M W P and Fokkema J T 2001 Radio Sci. 36 851 [25] Lin J, Li J, Li X L and Wang N 2016 J. Acoust. Soc. Am. 140 EL346 [26] Li X L, Wang N, Gao D Z and Li Q 2018 Chin. Phys. Lett. 35 114301 [27] Zou M S, Liu S X and Li L B 2019 Appl. Acoust. 154 18 [28] Zhang H and Lin Z Y 2023 Eng. Fract. Mech. 277 108996 [29] Liu H J, Li Y H and Liu G Q 2023 IEEE Trans. Biomed. Eng. 70 1741 [30] Marchetto C, Maxit L, Robin O and Berry A 2017 J. Acoust. Soc. Am. 141 4508 [31] Macgillivray I and Skvortsov A 2024 J. Acoust. Soc. Am. 155 2891 [32] Varatharajulu V 1977 J. Math. Phys. 18 537 [33] Achenbach J D 2007 J. Therm. Stresses 30 841 [34] Petrov P V and Newman G A 2019 Geophysics 84 R963 [35] Van Bladel J G 1985 Electromagnetic Fields (New York: Wiley-IEEE) [36] Auld B A 1975 Acoustic Fields and Waves in Solids (New York: John Wiley) [37] Achenbach J D 2003 Reciprocity in Elastodynamics (Cambridge: Cambridge University Press) |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|