Faraday effect in an alternating magnetic field: a mathematical model

DOI: 10.21293/1818-0442-2023-26-4-89-94

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Abstract: When creating magnetic focusing systems, for example, for traveling wave lamps, there are known problems associated with the need to adjust the electron flow moving in a given direction along the axis of the device, that is, to align its axis with the magnetic axis of the focusing system. The ideal adjustment of the device is very difficult to achieve due to many influencing factors, therefore, it becomes necessary to create automated complexes for simulating the alignment of the electron beam in the magnetic field formation system for focusing systems. The alignment problems can be solved using magneto-optical methods, since it is known that when exposed to a magnetic field, the light exhibits a number of similar properties (reaction). The aim of the work is to create a mathematical model for the passage of a light beam through an alternating magnetic system based on the Faraday effect. As a result, a mathematical model has been obtained, that should allow modeling the change in the plane of light polarization during the passage (movement of the magneto-optical sensor) along the axis of the magnetic system. The simulation of the passage of light according to the Faraday effect through a magnetic system of one and five magnets is considered.

Keywords: adjustment of magnetic systems, Faraday effect, magneto-optical media, permanent magnet, magnetic system, mathematical model, focusing system, light beam

For citation:
Shvachko A. A., Matyushkin V. V. Faraday effect in an alternating magnetic field: a mathematical model. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2023, vol. 26, no. 4, pp. 89–94. DOI: 10.21293/1818-0442-2023-26-4-89-94

Authors and copyright holders:

  • Shvachko A. A. , Yu.А. Gagarin State Technical University of Saratov (Saratov, Russia)
  • Matyushkin V. V. , Yu.А. Gagarin State Technical University of Saratov (Saratov, Russia)

  • 1. Vasichev B.N., Fatyanova G.I. Konstruirovanie jelektronno-opticheskih sistem mikrosistemnoj jelektronno-luchevoj tehniki [Design of electron-optical systems of microsystem electron beam technology]. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques, 2006, no. 9, pp. 26–31 (in Russ.).
  • 2. Shvachko A.A., Zakharov A.A. K modelirovaniju justirovki jelektronnogo potoka v magnitnyh fokusirujushhih sistemah [Towards modeling the adjustment of the electron flow in magnetic focusing systems]. Mathematical Methods in Engineering and Technology – MMTT, 2013, no. 10–2, pp. 53–55 (in Russ.).
  • 3. Kozhukhova A.A., Terentyev D.A. Razrabotka metodiki nastrojki i justirovki magnitnyh sistem na osnove ploskih magnitov dlja mnogoluchevyh klistronov millimetrovogo diapazona [Development of a technique for tuning and adjusting magnetic systems based on flat magnets for multibeam klystrons in the millimeter range]. Fundamental Problems of Radio-Electronic Instrument Making, 2014, vol. 14, no. 4, pp, 131–134 (in Russ.).
  • 4. Emelyanov E.A., Zakharov A.A. Izmenenie struktury magnitnogo polja MPFS LBV posredstvom vneshnego korrektirujushhego vozdejstvija [Changing the structure of the magnetic field of the MPFS TWT through external corrective action]. Engineering Bulletin of the Don, 2014, no. 3(30), pp. 78 (in Russ.).
  • 5. Savelyev, I.V. Kurs obshhej fiziki: uchebnoe posobie dlja studentov vysshih uchebnyh zavedenij, obuchajushhihsja po tehnicheskim napravlenijam i special'nostjam [General physics course: a textbook for students of higher educational institutions studying in technical areas and specialties]. Moscow: KnoRus, 2012, 570 p. (in Russ.).
  • 6. Trofimova T.I. Kurs fiziki [Physics course]. Moscow: Publishing Center “Academy”, 2014, 560 p. (in Russ.).
  • 7. Deineka I.G., Shramko O.A., Tarakanov S.A. Izuchenie magnitoopticheskogo jeffekta Faradeja [Study of the magnetooptical Faraday Effect]. Scientific and Technical Bulletin of information Technologies, Mechanics and Optics, 2008, no 49. pp. 84–89 (in Russ.).
  • 8. Tsukanov B.D. Magnitnoe vrashhenie ploskosti poljarizacii v prozrachnyh sredah [Magnetic rotation of the plane of polarization in transparent media], Modern Problems of Physical and Mathematical Sciences, 2020, pp. 570–576 (in Russ.).
  • 9. Paranin V.D., Sinitsyn L.I. [Mathematical modeling of a single-stage magneto-optical sensor based on the longitudinal Faraday Effect]. Aktual'nye problemy radiojelektroniki i telekommunikaciĭ: materialy vserosssiskoy nauchno-technicheskoy konferencii. [Current problems of radio electronics and telecommunications: materials of All-Russian scientific-technical conference]. Samara, Samara National Research University named after S.P. Korolev, 2017, pp. 164–167 (in Russ.).
  • 10. Mavritsky O.B. Jeffekt Faradeja v magnitnyh plènkah. Laboratornyĭ praktikum po fizike kondensirovannogo sostojanija: Uchebnoe posobie [Faraday Effect in magnetic films. Laboratory workshop on condensed matter physics: Textbook]. M.: National Research Nuclear University, 2012, 72 p. (in Russ.).
  • 11. Tsarev V.A., Spiridonov R.V. Magnitnye fokusirujushhie sistemy jelektrovakuumnyh mikrovolnovyh priborov O-tipa: uchebnoe posobie [Magnetic focusing systems of O-type electrovacuum microwave devices: textbook]. Saratov: publishing house «New Wind», 2010, 352 p. (in Russ.).
  • 12. Gorbatenko N.I., Grechikhin V.V., Cuong N.M. Kombinirovannaja matematicheskaja model' magnitnogo polja dlja avtomatizirovannoj selektivnoj sborki jelektromagnitov [Combined mathematical model of the magnetic field for automated selective assembly of electromagnets]. News of Higher Educational Institutions. Electromechanics, 2010, no. 5, pp. 43–47 (in Russ.).
  • 13. Narakidze N.D., Lankin M.V. Opredelenie struktury matematicheskoj modeli raspredelenija magnitnogo polja [Determination of the structure of a mathematical model of magnetic field distribution]. News of Higher Educational Institutions. North Caucasus Region. Technical Science, 2007, no. S1, pp. 92–94 (in Russ.).
  • 14. Arkhipov A.V., Darmaev A.N., Komarov D.A., Miroshnikob Y.A., Morev S.P., Fetisova A.V., Primenenie negarmonicheskogo raspredelenija magnitnogo polja dlja fokusirovki intensivnyh jelektronnyh potokov v magnitnyh periodicheskih fokusirujushhih sistema [Application of non-harmonic magnetic field distribution for focusing intense electron flows in magnetic periodic focusing systems]. Radio engineering and Electronics, 2008, vol. 53, no. 5, pp. 606–612 (in Russ.).
  • 15. Lapshin E.V. [Magnetostatic calculation of systems with permanent magnets]. Trudy mezhdunarodnogo sim-poziuma "Nadezhnost' i kachestvo"[Proceedings of the international symposium «Reliability and quality»], 2012, vol. 2, pp. 257–258 (in Russ.).
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