Abstract. An original method of solving problems of non-stationary radiation of electromagnetic waves and circular disk sources is proposed. A feature of this method is non-traditional introduction of the coordinate system associated with the source.
Special technique
of integration of generation currents is used. This approach was not previously
used. The advantage of this method is the following: the decisions of the tasks are obtained using elementary mathematical apparatus and allow a clear physical interpretation.
You can also note the nature of the representation of solutions: these are
integrals over finite limits with respect to a variable that has the meaning of
time. This provides
their convenience for
numerical calculation in the case of arbitrary time change of initial
excitation. Its advantages are shown on the base of the comparison of this method with known methods in the literature.
Key words: non-stationary
radiation, loop and disk sources.
References
1. Goldstein L.D., Zernov N.V. Elektromagnitnyye polya i volny [Electromagnetic fields and waves]. Moscow: Sov. Radio Publ. 1971. 664p. (In Russian)
2. Felsen L., Markuvits N. Izlucheniye i rasseyaniye voln [Radiation and scattering of waves]. Moscow: Mir Publ. 1978. V.1. 551p., V.2. 557p. (In Russian)
3. Sobolev S.L. Uravneniya matematicheskoy fiziki [Equations of mathematical physics]. Moscow: Nauka Publ. 1978. 444p. (In Russian)
4.
Tretyakov O.A.
Method of a mode basis. Journal of Communications Technology and
Electronics, 1986, Vol.31, No. 6, pp.1071-1082.
5.
Tretyakov O.A.
Evolutionary waveguide equations. Journal of
Communications Technology and Electronics,
1989, Vol.34, No. 5, pp.917-926.
6.
Doroshenko
V.A., Kravchenko V.F. Difraktsiya elektromagnitnykh voln na nezamknutykh
konicheskikh strukturakh [Diffraction of Electromagnetic Waves on Nonclosed
Conical Structures]. Moscow: Nauka publ. 2009. 272p. (In Russian)
7.
Belichenko V.
P., Shestakov P.V. Alternative approaches to the problem of the scattering by a
cone of a nonstationary field of a point scalar source. Russian Physics
Journal, 2013,
Vol.56, No. 8/2, pp.68-70.
8. Wu T.T. Electromagnetic
missiles. J. Appl. Phys., 1985. Vol.
57, No. 7, pp. 2370-2373.
9.
Sodin L.G. Characteristics
of pulsed radiation from antennas (electromagnetic bullet). Journal
of Communications Technology and Electronics,
1992, Vol.37, No. 5, pp.849-857.
10.Sodin L.G. Pulse
radiation of antennas. Journal of Communications Technology and
Electronics, 1998, Vol.43, No. 2, pp.166-174.
11.Kiriashkin V.V.,
Chubinsky N.P. Investigation of the possibility of collimating the fluxes of
electromagnetic waves of ultra-wideband signals.
Journal of
Communications Technology and Electronics, 2002, Vol.47, No. 1, pp.24-32.
12.Kir'yashkin V.V. Kollimirovaniye potokov elektromagnitnykh voln
sverkhshirokopolosnykh signalov [Collimation of electromagnetic wave fluxes of
ultra-wideband signals] (PhD Thesis), Moskow: MIPT Publ., 2002. (In Russian)
13. Borisov V.V. Radiation of an electromagnetic signal of
circular current. Waves and diffraction. Kratkiye teksty dokladov X Vsesoyuznogo
simpoziuma po difraktsii i rasprostraneniyu voln - 10th All-Union Symposium on Diffraction
and Wave Propagation. Vinnitsya, 1990. pp.
171-174.
14.
Kochetov
B.A., Butrym A.Yu. On the convergence of mode expansions with respect to
spherical harmonics in the time domain. Vestnik
KhNU. seriya
“Radiofizika i Elektronika” -
Vestnik KhNU, series “Radiophysics and Electronics“, 2009, Vol.15, No. 15, pp.
41-44.
15.
Afanas’ev
Yu.V., Klimov A.L., Feoktistov A.L., Feoktistov L.P. Radiation by a rapidly decaying
current. JETP, 1992, Vol.74, No. 4, pp.596-603.
16.
Lebedev
E.F., Ostashev V.E., Petrov S.R. et al. Experimental model of a powerful
effective broadband emitter based on a magnetic dipole. Trudy V Zababakhinskikh nauchnykh chteniy Proc. of International conference. V Zababakhin
scientific talks. Snezhinsk, RFNC-VNIITF, September 1998, pp. 384-391. (In
Russian)
17. Sodin L.G. Characteristics of pulsed radiation from antennas
(electromagnetic bullet). Journal of
Communications Technology and Electronics, 1992, Vol.37, No. 5,
pp.849-857.
18. Sodin L.G. Pulse radiation of antennas.
Journal of Communications Technology and Electronics, 1998, Vol.43, No. 2, pp.166-174.
19.
Kir'yashkin V.V., Chubinsky N.P. Investigation of the possibility of
collimating the fluxes of electromagnetic waves of ultra-wideband signals. Journal of Communications Technology and Electronics, 2002, Vol.47, No. 1, pp.24-32.
20. Mikhailov EM, Golovinsky P.A. Description of diffraction
and focusing of ultrashort pulses on basis of a nonstationary Kirchhoff-Sommerfeld
method. JETP, 2000, Vol.90, No. 2, pp.240-249.
21.