Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 12

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DOI https://doi.org/10.30898/1684-1719.2020.12.17

UDC 537.6


Limitation of the frequency dispersion of electromagnetic radiation produced by fluxons


M. R. Zhumaev1, M. Z.Sharipov1, V. V. Koledov2, V. G. Shavrov2

1 Bukhara Engineering Technological Institute, 200100, Uzbekistan, Bukhara, st. K. Murtazaeva, 15

2 V.A. Kotelnikov Institute of Radio Engineering and Electronics of RAS, 125009, Moscow, Mokhovaya st. 11/ 7

The paper is received on November 1, 2020


Abstract. The work found the shape of spectral lines of electromagnetic radiation produced by a relativistic quantum of magnetic flux moving in a Josephson transmission line under the action of a purely fluctuating external current and dissipation. It is shown that even in the case of a Gaussian noise current, the shape of the spectral lines of electromagnetic radiation has an essentially non-Gaussian form. The limited dispersion of the frequency of electromagnetic radiation (which is determined by the pinching of the spectral lines of radiation) is proved, due to the relativistic properties of the quantum magnetic flux. This is another unique aspect of the relativistic quantum magnetic flux - as a carrier of electromagnetic radiation in the Josephson transmission line.


Key words: Josephson transmission line, the form of spectral emission lines, fluctuating external current, frequency dispersion of electromagnetic radiation, relativistic quantum of magnetic flux.


1. Kinev N.V., Rudakov K.I., Filippenko L.V., Baryshev A.M., Koshelets V.P. Flux-flow Josephson oscillator as the broadband tunable terahertz source to open space. Journal of Applied Physics. 2019. Vol.125. No.15. P.151603.

2. Kurin V.V., Pimenov I.V. Quantum noise in superconducting generators and distributed Josephson junctions. Proceedings of the 1st International Conference Fundamental'nyye problemy VTSP [Fundamental problems of HTSC]. Part 1. 2004. P.132- 133. (In Russian)

3. Borisenko I.V. Superconducting Josephson detector of the terahertz range, operating at the temperature of liquid nitrogen Proceedings of the 1st International Conference Fundamental'nyye problemy VTSP [Fundamental problems of HTSC]. Part 1. 2004. P.265-266. (In Russian)

4. If F., Christiansen P.L. et.al. Simulation studies of radiation linewidth in circular Josephson junction fluxson oscillators. Phys. Rev. B. 1985. Vol.32. No.3. P.1512-1518.

5. Golubov A.A. et.al. Radiation linewidth of a long Josephson junction in the flux – flow regime. Phys. Rev. B. 1996. Vol.54. No.5. P.3047-3050.

6. Song F., Levitchev M.Y., Markelov V.A., Kurin V.V., Fang L., Klushin A.M., Millimeter-wavelength radiation from arrays of discrete high temperature superconductor Josephson junctions. Supercond. Sci. Technol. 2010. Vol.23. P.034026.

7. Van Kampen N.G. Stokhasticheskiye protsessy v fizike i khimii [Stochastic processes in physics and chemistry]. Moscow, Vyshchaya Shkola Publ. 1990. P.376. (In Russian)

8. Mukhopadhay A. et.al. Theory of relativistic Brownian motion in the presence of electromagnetic field in (1+1) dimension. AIP Conference Proceedings. 2018. No.1942. P.110016.

9. Klimontovich Yu.L. Statisticheskya fizika [Statistical physics]. Moscow. Nauka Publ. 1982. P.608. (In Russian)

10. Cubero D et.al. Thermal equilibrium and statistical thermometers in special relativity. Phys. Rev. Lett. 2007. Vol.99. P.170601.

11. Klimontovich Yu.L. Nonlinear Brownian motion.  Physics Uspekhi. 1994. Vol.35. No.2. P.811-844.  (In Russian)

12. Mclaughlin D., Scott E. Multisoliton perturbation theory. In: Solitony v deystvii [Solitons in Action]. Moscow, Mir. 1981. P.1459-1466. (In Russian)

13. Jumaev M.R., Nosirova N.K. The distribution function of the fluxon velocity in a long Josephsonoff contact with dissipation and mixing current.  Ministry of Higher and Secondary Education of the Republic of Uzbekistan. Abstracts of the "International Scientific Seminar on Magnetism". Bukhara, 1997. P.20-21. (In Russian)

14. Abdullaev F.Kh., Jumaev M.R., Tsoǐ É.N. Dynamics of fluxons in Josephson junctions under the noise current action.  Technical Physics. 2000. Vol.45. No.5. P.566-570.

15. Djumaev M.R. The Doppler effect and form of the profile of radiation spectral lines.  Proceedings of the NATO Advanced Research Workshop on Nonlinearity and Disorder: Theory and Applications, II. Mathematics, Physics and chemistry.  2001. Vol.45. P.411-414.

16. Jumaev M.R. Relyativistskiy ideal'nyy gaz i pervichnoye kosmicheskoye izlucheniye. Monografiya [Relativistic ideal gas and primary cosmic radiation. Monograph]. Bukhara, “Durdona” Publ. 2015. 184 p. (In Russian)

17. Jumaev M.R. Theory of relativistic ideal gas for quasi and ordinary particles.  Proceedings of the NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interaction, II. Mathematics, Physics and chemistry. 2004. Vol.213. P.155-165.

18. S.A. Akhmanov et al. Vvedeniye v statisticheskuyu radiofiziku i optiku [Introduction to statistical radiophysics and optics]. Moscow, Nauka Publ. 1981. 640 p. (In Russian)

19. Stratonovich R.L. Theory of random noise. N.Y. Gordon and Breach (1981).

20. Dzhumaev M.R. Teoriya rasprostraneniya i izlucheniya voln solitonami v neodnorodnykh i nestatsionarnykh sredakh [Theory of propagation and emission wave by solitons in inhomogeneous and non-stationary media]. PhD thesis. 1989. P.97. (In Russian)


For citation:

Zhumaev M.R., Sharipov M.Z., Koledov V.V., Shavrov V.G. Limitation of the frequency dispersion of electromagnetic radiation produced by fluxons.  Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No.12. https://doi.org/10.30898/1684-1719.2020.12.17  (In Russian)