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A. V. Druzhinin

HIGH-FREQUENCY ELECTRODYNAMICS AND MECHANICS OF ANISOTROPIC MEDIA

DOI: 10.17804/2410-9908.2022.5.015-022

The paper presents a new mathematical approach generally relating anisotropic electrodynamic characteristics to optical constants. A mathematical language is a hypercomplex algebra describing a spinor space. The problem of the Faraday magneto-optic effect – circular birefringence and dichroism – is solved within the framework of this formalism. The issue of using this formalism in problems of solid mechanics is discussed.

Acknowledgments: The research was performed under the state assignment from the Russian Ministry of Edu-cation and Science, theme Function, No. AAAA-A19-119012990095-0. It was partially financially supported by the RFBR, grant No. 20-02-00541.

Keywords: electrodynamic characteristics, optical constants, magneto-optics, anisotropy, nondestructive testing

References:

  1. Ketkovich A.A., Strokov V.A. et al, V.V. Klyuev, ed. Pribory dlya nerazrrushayushchego kontrolya materialov i izdeliy, kn. 1 [Instruments for Nondestructive Testing of Materials and Products: handbook, book 1].  Moscow, Mashinostroenie Publ., 1986, pp. 48-115. (In Russian).
  2. Vladimirov A.P. Dinamicheskaya spekl-interferometriya deformiruyemykh tel. [Dynamic Speckle Interferometry of Bodies under Deformation]. Ekaterinburg, UrO RAN Publ., 2004, 241 p. (In Russian).
  3. Vladimirov A.P., Kamantsev I.S., Drukarenko N.A., Trishin V. N., Akashev L. A. & Druzhinin A. V. Assessing Fatigue Damage in Organic Glass Using Optical Methods. Opt. Spectrosc., 2019, 127, pp. 943–953. DOI:  10.1134/S0030400X19110286.
  4. Akhmanov S.A., Nikitin S.Yu. Physical Optics. Moscow, MGU Publ., 2004, 656 p. (In Russian).
  5. Gorshkov M.M. Ellipsometry. Moscow, Sov. Radio Publ., 1974, 200 p. (In Russian).
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  7. Knyazev Yu.V., Maevskii V.M. Anisotropy of optical absorption in an yttrium single crystal. Optics and Spectroscopy, 1984, vol. 57, iss. 2, pp.153–157.
  8. Druzhinin A.V., Lobov I.D., Maevsky V.M. Observation of the odd effect of light intensity variation as the light passes through an equatorially magnetized ferromagnetic film. Pisma v ZhTF, 1981, vol. 7, No. 18, pp. 1100–1102. (In Russian).
  9. Druzhinin A.V., Vladimirov A.P. Tsvetkova E.V. Theoretical bases of magnetooptical refractometry for transparent media. Diagnostics, Resource and Mechanics of materials and structures, 2018, iss. 6, pp. 83–89. DOI: 10.17804/2410-9908.2018.6.083-089. URL: https://dream-journal.org/DREAM_Issue_6_2018_Druzhinin_A.V._et_al._083_089.pdf
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  12. Druzhinin A.V., Druzhinina T.V. Electrodynamic criterion of solid stability. Vestnik UGTU–UPI, 2006, No. 11 (82), pp. 63–65.
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  14. Pontryagin L.S. Obobshcheniya chisel [Generalization of numbers]. Moscow, Nauka Publ., 1986.


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Article reference

Druzhinin A. V. High-Frequency Electrodynamics and Mechanics of Anisotropic Media // Diagnostics, Resource and Mechanics of materials and structures. - 2022. - Iss. 5. - P. 15-22. -
DOI: 10.17804/2410-9908.2022.5.015-022. -
URL: http://eng.dream-journal.org/issues/content/article_371.html
(accessed: 06/22/2024).

 

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