magazinelogo

Frontiers in Electrical and Electronic Engineering

ISSN Online: 3068-4773 CODEN:
Frequency: Quarterly Email: FEEE@hillpublish.com
Total View: 57224 Downloads: 4244 Citations: 0 (From Dimensions)
ArticleOpen Access http://dx.doi.org/10.26855/feee.2025.06.007

On the Absorption of Electromagnetic Waves by a Linear Lattice of Electric Currents and their Reaction Forces

Vladimir Arabadzhi

Institute of Applied Physics, Nizhny Novgorod, 603951, Ulianov st. 46, Russia.

*Corresponding author: Vladimir Arabadzhi

Published: March 27,2026

Abstract

We consider a quarter-wave linear lattice of electric currents (Hertzian dipoles) that absorbs power from an incident wave proportional to the square of the number of currents and square of wavelength, independent or the lattice's geometric dimensions. It was found out numerically that the phase structure of optimal absorption currents exhibits binary alternating values with spatial periodicity. The corresponding constant in time Ampere forces are also estimated: (a) the total force with which the incident wave acts on the all currents and (b) the total force of interaction between the currents. These two total forces mutually compensate each other. Analogous problems are considered also for one-dimensional actively absorbing Huygens source and the case of dissipative passive bulk absorption are considered too.

Keywords

Absorption cross-section; Ampere forces; given currents; active absorption; collec-tive resonance; forces of wave reaction; Huygens source; passive absorption; dis-sipative bulk absorption

References

[1] Frenkel YI. Principles of the theory of atomic nuclei. Moscow: Publishing house of the USSR Academy of Sciences; 1955:193.

[2] Bobrovnitskii YI, Tomilina TM. Sound absorption and metamaterials: a review. Acoust Phys. 2018;64:519-526. 

https://doi.org/10.1134/S1063771018040024

[3] Shelkunoff S, Frees H. Antennas: theory and practice. New York: John Wiley & Sons; London: Chapman & Hall; 1952.

[4] Paul H, Fischer R. Light absorption by a dipole. Sov Phys Usp. 1983;26(10):923-926. 

https://doi.org/10.1070/PU1983v026n10ABEH004523

[5] Klimov K, Gezha DS, Godin AS. Electric small antennas (ESA) [Preprint]. January 2018. 

https://doi.org/10.13140/RG.2.2.31888.71686

[6] Lapin AD. Sound absorption by monopole-dipole resonators in multimode waveguide. Acoust Phys. 2005;51(3):428-430.

[7] Kanev NG, Mironov MA. Resonance absorption of gravity waves. Fluid Dyn. 2021;56:678-684. 

https://doi.org/10.1134/S0015462821050062

[8] Lebedew PN. Untersuchungen über die Druckkräfte des Lichtes. Ann Phys. 1901;6(4):433-458. 

https://doi.org/10.1002/andp.19013111102

[9] Bjerknes CA. Hydrodynamische Fernkrafte. Leipzig: Wilhelm Engelmann; 1915.

[10] Doinikov A. Translational motion of two interacting bubbles in a strong acoustic field. Phys Rev E. 2001;64:026301. https://doi.org/10.1103/PhysRevE.64.026301

[11] Arabadzhi VV. On the mechanical interaction between two small antennas. Lond J Eng Res. 2024;24(8):51-62.

[12] Lamb BM, Morales GJ. Ponderomotive effects in nonneutral plasmas. Phys Fluids. 1983;26:3488. 

https://doi.org/10.1063/1.864132

[13] Markov GT, Chaplin AF. Excitation of electromagnetic waves. Moscow: Radio and Communications; 1983:296.

[14] Lavrov GA. Mutual influence of linear vibrator antennas. Moscow: Svyaz; 1975:128.

[15] Arabadzhi VV. Absorption of long waves by linear structures. Acoust Phys. 2010;56:996-1003. 

https://doi.org/10.1134/S1063771010060242

[16] Arabadzhi VV. Solutions to problems of controlling long waves with the help of micro-structure tools. Sharjah: Bentham Science Publishers; 2011. https://doi.org/10.2174/97816080527521110101

[17] Chen M, Kim M, Wong AMH, Eleftheriades GV. Huygens' metasurfaces from microwaves to optics: a review. Nanophotonics. 2018;7(6):1207-1231. https://doi.org/10.1515/nanoph-2017-0117

How to cite this paper

On the Absorption of Electromagnetic Waves by a Linear Lattice of Electric Currents and their Reaction Forces

How to cite this paper: Vladimir Arabadzhi. (2025) On the Absorption of Electromagnetic Waves by a Linear Lattice of Electric Currents and their Reaction Forces. Frontiers in Electrical and Electronic Engineering1(1), 30-37.

DOI: http://dx.doi.org/10.26855/feee.2025.06.007