References
- Jones DS. Note on diffraction by an edge. Q J Mechanics Appl Math. 1950;3(4):420–434. doi:https://doi.org/10.1093/qjmam/3.4.420.
- Jones DS. A simplifying technique in the solution of a class of diffraction problems. Q J Math. 1952;3(1):189–196. doi:https://doi.org/10.1093/qmath/3.1.189.
- Copson ET. On an integral equation arising in the theory of diffraction. Q J Math. 1946;17(1):19–34. doi:https://doi.org/10.1093/qmath/os-17.1.19.
- Copson ET. Diffraction by a plane screen. Proc R Soc Lond A. 1950;202(1069):277–284. doi:https://doi.org/10.1098/rspa.1950.0100.
- Noble D. Methods based on the Wiener-Hopf technique for the solution of partial differential equations. London: Pergamon Press; 1958.
- Gorobets NN, Yeliseyeva NP, Antonenko YA. Optimisation of radiation characteristics of wire-screened antennas. Telecom Rad Eng. 2012;71(1):59–69. doi:https://doi.org/10.1615/TelecomRadEng.v71.i1.60.
- Yeliseyeva NP, Gorobets NN, Gorobets AN. Characteristics of near field of the horizontal vibrator located above a square screen. J Commun Technol Electron. 2016;61(7):749–766. doi:https://doi.org/10.1134/S1064226916070044.
- Bouwkamp CJ. On the diffraction of electromagnetic waves by small circular disks and holes. Philips Research Reports. 1950;5:401–422.
- Maixner J, Andrejewski W. Strenge theorie der beugung ebener elektromagnetischer wellen an der vollkommen leitenden kreisscheibe und an der kreisförmigen Öffnung im vollkommen leitenden ebenen schirm. Ann d Phys. 1950;442:157–168.
- Nomura Y, Katsura S. Diffraction of electromagnetic waves by circular plate and circular hole. J Phys Soc Jpn. 1955;10(4):285–304. doi:https://doi.org/10.1143/JPSJ.10.285.
- Lytvynenko LM, Prosvirnin SL, Khizhnyak AN. Semiinversion of the operator with the using of method of moments in the scattering problems by the structures consisting of the thin disks. Preprint institute of radio astronomy. Academy of Sciences UKR SSR. 1988;19:1–8. (in Russian).
- Hongo K, Naqvi QA. Diffraction of electromagnetic wave by disk and circular hole in a perfectly conducting plane. PIER. 2007;68:113–150. doi:https://doi.org/10.2528/PIER06073102.
- Balaban MV, Sauleau R, Benson TM, et al. Dual integral equations technique in electromagnetic wave scattering by a thin disk. PIER B. 2009;16:107–126. doi:https://doi.org/10.2528/PIERB09050701.
- Bliznyuk NYU, Nosich AI, Khizhnyak AN. Accurate computation of a circular-disk printed antenna axisymmetrically excited by an electric dipole. Microw Opt Technol Lett. 2000;25(3):211–216. doi:https://doi.org/10.1002/(sici)1098-2760(20000505)25:3<211::aid-mop15>3.0.co;2-d.
- Saidoglu NY, Nosich AI. Method of analytical regularization in the analysis of axially symmetric excitation of imperfect circular disk antennas. Comput Math with Appl. 2020;79(10):2872–2884. doi:https://doi.org/10.1016/j.camwa.2019.12.020.
- Lucido M, Balaban MV, Nosich AI. Plane wave scattering from thin dielectric disk in free space: generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances. IET microw. Antennas Propag. 2021;15:1159–1170. doi:https://doi.org/10.1049/mia2.12106.
- Lucido M, Panariello G, Schettino F. Scattering by a zero-thickness PEC disk: a new analytically regularizing procedure based on helmholtz decomposition and Galerkin method. Radio Sci. 2017;52:2–14. doi:https://doi.org/10.1002/2016RS006140.
- Hongo1 K, Jafri ADU, Naqvi QA. Scattering of electromagnetic spherical wave by a perfectly conducting disk. Progr in Electromag Res. 2012;129:315–343. doi:https://doi.org/10.2528/PIER11102805.
- Jafri ADU, Naqvi QA, Syed AA, et al. Scattering of an arbitrarily oriented dipole field by a circular disk with surface impedance. Progr in Electromagn Res. 2012;132:403–424. doi:https://doi.org/10.2528/PIER12060508.
- Nishimoto M, Ikuno H. Numerical analysis of plane wave diffraction by a semi-infinite grating. T IEE Japan. 2001;121(A):905–910.
- Kaliberda ME, Lytvynenko LM, Pogarsky SA. Method of singular integral equations in scattering by double-layer infinite strip grating with several strips removed in every layer. J Electromagn Waves Appl. 2021; doi:https://doi.org/10.1080/09205071.2021.1893833.
- Schwarzschild K. Die beugung und polarisation des lichts durch einen. Spalt I Math Ann. 1901;55:177–247. doi:https://doi.org/10.1007/BF01444971.
- Prosvirnin SL, Zouhdi S. Multi-Layered arrays of conducting strips: switchable photonic band Gap structures. AEU - Int J Electron Commun. 2001;55:260–265. doi:https://doi.org/10.1078/1434-8411-00039.
- Lytvynenko LM, Prosvirnin SL. Wave reflection by a periodic layered metamaterial. Eur Phys J Appl Phys. 2009;46(3):32608), doi:https://doi.org/10.1051/epjap:2008128.
- Kaliberda ME, Litvinenko LN, Pogarsky SA. Diffraction of H0m and E0m modes by a system of axially symmetric discontinuities in a coaxial circuit. J Commun Technol Electron. 2010;55(5):505–511. doi:https://doi.org/10.1134/S1064226910050037.
- Tuz VR, Prosvirnin SL, Kazanskiy VB. Mutual conversion of TMmn and TEmn waves by periodic and aperiodic waveguide filters composed of dense metal-strip gratings. PIER B. 2011;30:313–335. doi:https://doi.org/10.2528/pierb11041802.
- Kaliberda ME, Lytvynenko LM, Pogarsky SA, et al. Diffraction of the H-polarized plane wave by a finite layered graphene strip grating. Int J Microw Wireless Technol. 2018 Sep 12;11(4):326–333. doi:https://doi.org/10.1017/S1759078718001290.
- Lytvynenko LM, Kaliberda ME, Pogarsky SA. Wave diffraction by semi-infinite venetian blind type grating. IEEE Trans Antennas Propagat. 2013;61(12):6120–6127. doi:https://doi.org/10.1109/TAP.2013.2281510.
- Muskhelishvili NI. Singular integral equations. Boundary problems of functions theory and their applications to mathematical physics. Radok JRM translator. Groningen: Wolters-Noordhoff, 1972. Revised translation from Russian.
- Lifanov IK. Singular integral equations and discrete vortices. Utrecht: VSP; 1996.