Victor Borisov

Victor Vasil'evich Borisov
Born	31 October 1937 Leningrad, USSR
Nationality	Russian
Fields	Physics, Mathematics
Institutions	St. Petersburg State University
Alma mater	St. Petersburg State University
Doctoral students	Irina Simonenko
Known for	Development of foundations of the spacetime triangle diagram (STTD) technique

Victor Vasil'evich Borisov (Russian: Виктор Васильевич Борисов) (born 31 October 1937) is a Russian physicist and mathematician who made significant contribution to the theory of wave motion, in particular, to the time domain electromagnetics and localized waves.

Under his guidance, the pioneering Vladimir Smirnov's approach to solving the initial-boundary value problem to the hyperbolic partial differential equations (in particular, the wave equation)^[1] was developed into a powerful method, presently known as spacetime triangle diagram (STTD) technique.

Victor Borisov's findings and ideas are summarized in three monographs edited by Leningrad State University.^[2][3][4]

Particular discoveries

• 1970s Description of the essentially non-sinusoidal fields emanated by perfectly conducting sources at motion.^[5][6]

• 1980 Transformation of electromagnetic signals at abrupt variation of medium properties,^[7] including guiding systems.^[8]

• 1993 Characterization of electromagnetic fields accompanying propagation of spike pulses of hard radiation in media.^[9]

• 1994 General modal solutions for subluminal and luminal sources distributed on a circle.^[10]

• 1994 Physically tenable models of generating finite-support, truncated focus wave modes in free space,^[11] noncollisional plasma,^[12] and conducting medium.^[13]

• 2000 Constructing a new class of relatively undistorted progressing waves.^[14]

• 2005 Description of several specific phenomena occurring in waves produced by a travelling source pulse with high-frequency filling.^[15]

References

1. V.I. Smirnov, The solution to a problem with limits for the equation of waves in the case of the circle and the sphere. Dokl. Akad. Nauk SSSR [Comptes Rendus de l’Academie des Sciences de l'URSS], 14(1), 13–16 (1937).
2. V.V. Borisov, Nonsteady-State Electromagnetic Waves. Leningrad: Leningrad State University Press (1987, in Russian).
3. V.V. Borisov, Nonsteady-State Fields in Waveguides. Leningrad: Leningrad State University Press (1991, in Russian).
4. V.V. Borisov, Electromagnetic Fileds of Transient Currents. Leningrad State University Press (1996, in Russian). The basics and updated review of this research is published in English, see A.B. Utkin, Electromagnetic Waves Generated by Line Current Pulses. In: Wave Propagation. Ed. Andrey Petrin, InTech: Vienna, ISBN 978-953-307-275-3, pp. 483–508 (2011)
5. V.V. Borisov, Electromagnetic-field of a rotating completely-conducting ball. Zhurnal Tekhnicheskoi Fiziki 45(11), 2257–2266 (1975), WOS:A1975AW87400001
6. V.V. Borisov, Electromagnetic-field accompanying motion of an ideally conducting plate. Vestnik Leningradskogo Universiteta Seriya Fizika Khimiya 2, 71–74 (1976), WOS:A1976CB24300012.
7. V.V. Borisov, Transformation of an electromagnetic signal in a sharp variation of medium properties with time. Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 23(12), 1495–1506 (1980), WOS:A1980LH40800013.
8. V.V. Borisov, Electromagnetic-fields in a cylindrical wave-guide filled by an ionized-gas moving with a constant velocity. Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 23(12), 1484–1494 (1980), WOS:A1980LH40800012.
9. V.V. Borisov & A.B. Utkin, Electromagnetic fields produced by the spike pulse of hard radiation. Journal of Physics A: Mathematical and General 26(16), 4081–4085 (1993), doi:10.1088/0305-4470/26/16/023.
10. V.V. Borisov & I.I. Simonenko, Transient waves generated by a source on a circle. Journal of Physics A: Mathematical and General 27(18), 6243–6252 (1994), doi:10.1088/0305-4470/27/18/032.
11. V.V. Borisov & A.B. Utkin, On formation of focus wave modes. Journal of Physics A: Mathematical and General 27(7), 2587–2591 (1994), doi:10.1088/0305-4470/27/7/033
12. V.V. Borisov & A.B. Utkin, Focus wave modes in noncollisional plasma. Canadian Journal of Physics 72(9–10), 647–650 (1994), doi:10.1139/p94-083
13. V.V. Borisov & A.B. Utkin, Focus wave modes in conducting media. Canadian Journal of Physics 72(9–10), 725–730 (1994), doi:10.1139/p94-083
14. V.V. Borisov & A.P. Kiselev A new class of relatively undistorted progressing waves. Applied Mathematics Letters 13(4), 83–86 (2000), doi:10.1016/S0893-9659(99)00213-X.
15. V.V. Borisov, N.M. Reutova, & A.B. Utkin, Electromagnetic waves produced by a travelling current pulse with high-frequency filling. Journal of Physics A: Mathematical and General, 38(10), 2225–2240 (2005), doi:10.1088/0305-4470/38/10/012.

External links

• Victor Borisov on Mathnet.ru