А.М. Musin – Post-graduate Student, 

Ural Federal University (Ekaterinburg)

E-mail: andrmm@uralweb.ru  

S.N. Shabunin – Dr.Sc. (Eng.), Professor,

Ural Federal University (Ekaterinburg)

E-mail: shab313@yandex.ru

S.Т. Knyazev – Dr.Sc. (Eng.), Vice Rector for Academic Affairs,

Ural Federal University (Ekaterinburg) E-mail: deanrei@yandex.ru

When falling electromagnetic waves on the carrying-out sphere with a dielectric covering along with dispersion and absorption of part of power of the falling wave excitement of superficial electromagnetic waves and their distribution along a covering takes place. Actually, such structure represents an impedance sphere, and plane waves extend along curvilinear border with a final radius of curvature that is followed continuous on all a way of distribution by transition of part of power of plane waves to spatial. Such effect can exert impact on characteristics of dispersion, in particular on values of radiolocation and passing rations of dispersion. Now excitement and distribution of superficial waves along spherical border it is a little studied in comparison with cylindrical and flat.

In the real work as an indirect way it is carried out influence of plane waves on characteristics of dispersion of the carrying-out sphere with a single-layer covering from material with ohmic losses is estimated. For this purpose in the range of frequencies the quantity and types of plane waves on the flat screen decide on a covering, reflection coefficients from the screen and from the carrying-out sphere with the same covering of various radius, and also passing coefficients of dispersion are calculated. The comparative analysis of the received results is carried out. The flat screen represents a surface of the sphere which radius strives for infinity. For definition of quantity and types of plane waves the transcendental equations since covering materials with ohmic losses, roots of the transcendental equations complex are solved. In the previous work as authors attempt of an assessment of influence of plane waves on characteristics of dispersion was made, but roots of the transcendental equations were looked for by the numerical selection yielding approximate result. In the real work results are corrected thanks to the strict solution of the equations.

The comparative analysis showed that plane waves more influence passing coefficient of dispersion especially if material of a covering possesses insignificant ohmic losses. Influence of plane waves on coefficient of reflection of the sphere cannot be estimated an indirect way since the reflection coefficient initially oscillates in the range of frequencies. 

The received results are of interest to development of objects which form and the used covering minimize their radar visibility.

Musin А.М., Shabunin S.N., Knyazev S.Т. Plane waves at dispersion of electromagnetic waves by convex bodies with a dielectric covering. Achievements of modern radioelectronics. 2020. V. 74. № 9. P. 26–36. DOI: 10.18127/j20700784202009-03. [in Russian]

1. Miller M.A., Talanov V.I. Ispol'zovanie ponyatiya poverkhnostnogo impedansa v teorii poverkhnostnykh elektromagnitnykh voln (obzor). Izvestiya VUZov. Ser. Radiofizika. 1961. T. 4. № 5. [in Russian]
2. Miller M.A., Talanov V.I. Poverkhnostnye elektromagnitnye volny, napravlyaemye granitsey s maloy kriviznoy. Zhurnal tekhnicheskoy fiziki. 1956. T. XXVI. № 12. [in Russian]
3. Shabunin S.N. Elektrodinamika ploskikh i tsilindricheskikh magnitodielektricheskikh sloistykh struktur. Diss. … d.t.n. Ekaterinburg: GOU VPO «Ural'skiy gosudarstvennyy tekhnicheskiy universitet – UPI». 2006. [in Russian]
4. Panchenko B.A., Nefedov E.I. Mikropoloskovye antenny. M.: Radio i svyaz'. 1986. [in Russian]
5. Markov G.T., Chaplin A.F. Vozbuzhdenie elektromagnitnykh voln. Izd. 2-e, pererab. i dop. M.: Radio i svyaz'. 1983. [in Russian]
6. Knyazev S.T., Musin A.M., Panchenko B.A. Vliyanie poverkhnostnykh voln na kharakteristiki rasseyaniya vypuklykh tel soderzhashchikh dielektricheskoy pokrytie. Elektromagnitnye volny i elektronnye sistemy. 2016. T. 21. № 6. [in Russian]
7. Musin A.M., Shabunin S.N., Knyazev S.T. Poverkhnostnye elektromagnitnye volny na ploskom provodyashchem ekrane s dielektricheskim pokrytiem, obladayushchim omicheskimi poteryami. Ural Radio Engeneering Journal. 2019. V. 3. № 3. [in Russian]
8. Raevskiy A.S., Raevskiy S.B. Kompleksnye volny. M.: Radiotekhnika. 2010. [in Russian]
9. Gizatullin M.G. Elektromagnitnoe vozbuzhdenie mnogosloynoy struktury. Vestnik Voronezhskogo Instituta MVD Rossii. 2015. № 2. S. 88–97. [in Russian]
10. Panchenko B.A. Rasseyanie i pogloshchenie elektromagnitnykh voln neodnorodnymi sfericheskimi telami. Monografiya. M.: Radiotekhnika. 2012. [in Russian]
11. Khenl Kh., Maue A., Vestpfal' K. Teoriya difraktsii. M.: Mir. 1964. [in Russian]
12. Brekhovskikh L.M. Volny v sloistykh sredakh. M. Izd-vo akademii nauk SSSR. 1957. [in Russian]