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ISSN 1028-821X (Print)

Electromagnetic wave diffraction on a “strip grating – ferromagnetic half-space” composite structure: surface-wave resonances

Brovenko, AV, Melezhik, PN, Poyedinchuk, АY, Troschylo, АS
Organization: 

 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine

E-mail: melezhik@ire.kharkov.ua

https://doi.org/10.15407/rej2020.01.011
Language: russian
Abstract: 

 

Subject and Purpose. A theoretic study is given to the diffraction of a monochromatic plane E-polarized electromagnetic wave on a composite structure like a periodic strip grating bordering a half-space filled with a lossy homogeneous gyrotropic ferromagnetic medium. The work seeks to develop a method of the diffraction problem solution and determine diffraction characteristics of the electromagnetic wave interaction with the composite structure in the frequency region where the effective permeability of the ferromagnetic medium takes negative values.

Methods and Methodology. The method of the diffraction problem solution is based on the analytical regularization idea. The initial diffraction problem in terms of Maxwell’s equations is equivalently reduced to the Riemann problem in theory of analytical functions. The problem is explicitly solved to yield an infinite system of linear algebraic equations for the Fourier coefficients of the diffraction field expansion in plane (Floquet) modes, which is solved by truncation.

Results. A solution method has been developed for the diffraction problem of plane waves on a periodic strip grating bordering a ferromagnetic half-space. A theoretic prediction has been made that the E-polarized plane wave reflection coefficient of the ferromagnetic half-space bordered by a strip grating has resonances in the frequency region where the medium permeability takes negative values. It has been found that these resonances are mainly caused by the repeated reflection of the surface wave of the ferromagnetic half-space from the grating strip edges.

Conclusion. The developed solution method for the plane electromagnetic wave diffraction on a periodic strip grating lying on the medium interface can be generalized to the consideration of planar ferromagnetic layers instead of the ferromagnetic half-space. The theoretically predicted resonances of the reflection coefficients can be essential to the synthesis of radar absorbing coatings.

Keywords: diffraction, ferromagnetic medium, periodic strip grating, Riemann problem, surface wave

Manuscript submitted 08.08.2019
Radiofiz. elektron. 2020, 25(1): 11-20
Full text (PDF)

References: 
1. Lokk, E.G., 2008. Magnetostatic waves in ferrite films and structures with geometrical and magnetic inhomogeneities. DEd Theses. Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia (in Russian).
 
2. Brovenko, A.V., Melezhik, P.N., Poyedinchuk, A.Ye., Troshchylo, O.S., 2007. The wave diffraction by a grating attached to gyromagnetic medium boundary. In: V.M. Yakovenko, ed. 2007. Radiophysics and Electronics. Kharkov: IRE NAS of Ukraine Publ. 12(3), pp. 515-525 (in Russian).
 
3. Brovenko, A.V., Melezhik, P.N., Poyedinchuk, A.Ye., Troschylo, O.S., 2009. Analytical Regularization of the Problem of Wave Diffraction by a Strip Grating upon Ferromagnetic Medium Interface. Electromagnetic Waves and Electronic Systems, 14(9), pp. 19-30 (in Russian).
 
4. Brovenko, A.V., Vinogradova, E.D., Melezhik, P.N., Poyedinchuk, A.Ye., Troshchylo, A.S., 2010. Resonance wave scattering by a strip grating attached to a ferromagnetic medium. Prog. Electromagn. Res. (PIER) B, 23, pp. 109-129. DOI: https://doi.org/10.2528/PIERB10012203
 
5. Brovenko, A.V., Melezhik, P.N., Poyedinchuk, A.Ye., and Troschylo, O.S., 2010. Analytical regularization technique for solving the problem of electromagnetic wave diffraction on the interface of a gyrotropic medium and a strip grating. Reports of the NAS of Ukraine, 3, pp. 77-84 (in Russian).
 
6. Meixner, J., 1948. Strenge Theorie der Beugung Elektromagnetischer Wellen der Vollkommen Leitenden Kreisscheibe. Z. Naturforsch, 3a, ss. 506-518. DOI: https://doi.org/10.1515/zna-1948-8-1115
 
7. Shestopalov, V.P., Litvinenko, L.N., Masalov, S.A., Sologub, V.G., 1973. Diffraction of waves on gratings. Kharkov: Kharkov University Press (in Russian).
 
8. Muskhelishvili, N.I., 1962. Singular integral equations. Moscow: Fizmatgiz Publ. (in Russian).
 
9. Brovenko, A.V., Melezhik, P.N., Poyedinchuk, A.Ye., 2001. A Method of Regularization of a Class of Systems of Dual Series Equations. Ukr. Math. J., 53(10), pp. 1320-1327 (in Russian).