References
- Smirnov YuG , Tsupak AA . Integro-differential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Adv Math Phys. 2015;2015:1–6.
- Smirnov YuG , Tsupak AA . Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens. Appl Anal Int J. 2017;96(2):173–189.
- Smirnov YuG , Tsupak AA , Valovik DV . On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Appl Anal: Int J. 2017;96(2):173–189.
- Smirnov YuG . On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation. Comput Math Math Phys. 2016;56:1631–1640.
- Nazarchuk ZT , Khmil’ ZM . Diffraction of h-polarized electromagnetic waves by partially shielded dielectric cylinder. Radiophy Quantum Electron. 1993;36:187–197.
- Vinogradov SS , Sulima AV . Calculation of the absorption cross section of a partially shielded dielectric sphere. Translated from Radio Phys Quantum Electr. [Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika]. 1984;26:927–931.
- Veliev EI . Electromagnetic wave diffraction by a grating of partially shielded dielectric bars of circular cross section. Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki; 1985. p. 39–43.
- Smirnov YuG , Tsupak AA . On the fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. Differ Equ. 2016;52:1199–1208.
- Ilinsky AS , Smirnov YuG . Electromagnetic wave diffraction by conducting screens. Utrecht: VSP; 1998.
- Stephan EP . Boundary integral equations for screen problems in ℝ3 . Integral Equ Potential Theory. 1987;10:236–257.
- Hoenl AH , Westpfahl K . Theorie der Beugung. New York (NY): Springer Verlag; 1961.
- Valovik DV , Smirnov YuG . Pseudodifferential operator method in a problem of the diffraction of an electromagnetic wave on a dielectric body. Differ Equ. 2012;48:517–523.
- Kress R . Linear integral equations. Berlin Heidelberg: Springer-Verlag; 1989.
- Ladyzhenskaya OA , Ural’tseva NN . Linear and quasilinear elliptic equations. New York (NY): Academic Press; 1968.
- Ladyzhenskaya OA , Ural’tseva NN . Linear and quasilinear elliptic equations. Moscow: Nauka; 1973. Russian.
- Colton DL , Kress R . Inverse acoustic and electromagnetic scattering theory. Berlin: Springer-Verlag; 1992.
- Berezanski JM . Expansions in eigenfunctions of self-adjoint operators. Providence (RI): American Mathematical Society; 1968.
- Mueller C . Foundations of the mathematical theory of electromagnetic waves. Berlin: Springer-Verlag; 1969.
- Stratton JA . Electromagnetic theory. New York (NY): McGraw-Hill Book Company; 1941.
- Lions JL , Magenes E . Non-homogeneous boundary value problems and applications. New York (NY): Springer-Verlag, Berlin, Heidelberg; 1972. (Grundlehren der mathematischen Wissenschaften; Vol. 181).
- Taylor ME . Pseudodifferential operators. Princeton (NJ): Princeton University Press; 1981.
- Rempel S , Schulze B-W . Index theory of elliptic boundary problems. Berlin: Akademie-Verlag; 1982.
- Sanchez-Palencia E . Non-homogeneous media and vibration theory. New York (NY): Springer-Verlag; 1990.
- Valovik DV , Smirnov YuG . Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Differ Equ. 2012;48:517–523.
- Buffa A , Costabel M , Sheen D . On traces for h(curl, ω) in lipschitz domains. J Math Anal Appl. 2002;276:845–867.
- Webb JP . Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements. IEEE Trans Antennas Propag. 1999;47(8):1244–1253.
- Medvedik MYu , Smirnov YuG , Tsupak AA , et al. Vector problem of electromagnetic wave diffraction by a system of inhomogeneous volume bodies, thin screens, and wire antennas. J Electromagn Waves Appl. 2016;30(8):1086–1100.
- Nedelec J-C . A new family of mixed finite elements in ℝ3 . Numer Math. 1986;50:57–81.
- Raviart PA , Thomas J-M . A mixed finite element method for 2nd order elliptic problems. In: Dold A , Eckmann B , editors. Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics Series. Vol. 606. Berlin: Springer; 1977. p. 292–315.