Skip to main content
SpringerLink
Log in

A 2D Model for Calculating the Radiational Electromagnetic Induction in a Coaxial Cable Line

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

A mathematical model of electromagnetic induction formation in a coaxial cable line by the ionizing radiation pulse is presented. The model is constructed within the limits of telegraphic approximation. A numerical method of the calculations, which is based on the implicit finite difference Crank–Nicolson scheme, is presented. The transitional load on the cable line, which is determined by the function of the time variable, is taken into account. The results of the numerical experiment for the model task are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

REFERENCES

  1. I. P. Bezrodnykh, A. P. Tyutnev, and V. T. Semenov, Radiation Effects in Space (VNIIEM, Moscow, 2014) [in Russian].

    Google Scholar 

  2. A. F. Akkerman, M. Ya. Grudskii, and V. V. Smirmov, Secondary Electron Emission from Solids under the Effect of Gamma Quanta (Energoatomizdat, Moscow, 1986) [in Russian].

    Google Scholar 

  3. D. Large and J. Farmer, “Coaxial RF technology,” in Broadband Cable Access Networks: The HFC Plant, The Morgan Kaufmann Series in Networking (Morgan Kaufmann, Burlington, MA, 2009), pp. 5–56. https://doi.org/10.1016/B978-0-12-374401-2.00002-4

  4. A. V. Berezin, A. S. Vortonsov, M. E. Zhukovskiy, M. B. Markov, and S. V. Parot’kin, “Particle method for electrons in a scattering medium,” Comput. Math. Math. Phys. 55 (9), 1534–1546 (2015). https://doi.org/10.1134/S0965542515090055

    Article  MathSciNet  MATH  Google Scholar 

  5. C. G. J. Lock, J. C. Greeff and S. V. Joubert, “Modelling of telegraph equations in transmission lines,” in Buffelspoort TIME2008 Peer-reviewed Conference Proceedings (Buffelspoort, South Africa, 22–26 September 2008), pp. 138–148. https://doi.org/10.13140/2.1.1577.6326

  6. A. V. Sysenko, “The 2D model of radiational electromagnetic inducing in the cable line,” KIAM Preprint No. 7 (Keldysh Inst. Appl. Math. RAS, Moscow, 2006) [in Russian].

    Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics. Vol. 2: Classical Theory of Fields, 7th ed. (Nauka, Moscow, 1988; Butterworth–Heinemann, Oxford, 1975).

  8. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1977; Dover, New York, 1990).

  9. D. E. Potter, Computational Physics (Wiley, New York, 1973).

    MATH  Google Scholar 

  10. N. I. Terentev, “Shape of pulse of bremsstrahlung of LIU-10 accelerator,” Vopr. At. Nauki Tekh. Ser.: Fiz. R-adiat. Vozdeistviya Radielektron. Apparaturu, № 1, 97–102 (2010).

  11. N. I. Terentev, V. V. Kazakov, and A. I. Ozerov, “Automatization of technique for measuring the power of exposure dose,”Vopr. At. Nauki Tekh. Ser.: Fiz. Radiat. Vozdeistviya Radioelektron. Apparaturu, № 4, 10–11 (2014).

  12. D. N. Sadovnichii, A. P. Tyutnev, and Yu. M. Milekhin, “Electrical effects in polymers and composite materials under electron beam irradiation,” Russ. Chem. Bull. 69 (9), 1607–1613 (2020). https://doi.org/10.1007/s11172-020-2944-y

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    A. V. Sysenko

Authors
  1. A. V. Sysenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Sysenko.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sysenko, A.V. A 2D Model for Calculating the Radiational Electromagnetic Induction in a Coaxial Cable Line. Math Models Comput Simul 15, 23–33 (2023). https://doi.org/10.1134/S2070048223010143

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048223010143

Keywords:

Search

Navigation