Diffraction Of E-polarized Wave Research Articles

ДИФРАКЦИЯ Е-ПОЛЯРИЗОВАННОЙ ВОЛНЫ НА БЕСКОНЕЧНОЙ ПЕРИОДИЧЕСКОЙ ЛЕНТОЧНОЙ РЕШЕТКЕ В ОТСУТСТВИЕ ОДНОЙ ЛЕНТЫ

PACS number: 41.20.Jb Purpose: The E-polarized wave diffraction by an infinite periodic strip grating without a single strip is considered. Design/methodology/approach: The total field is found as a sum of field of infinite periodical grating and field induced by the removal of a single strip. The problem is reduced to the singular integral equations with additional conditions. Findings: The directional patterns and field distribution in the domain above the grating are represented. Conclusions: The effective algorithm for study of the field which appeared as a result of absence of a single strip is suggested. Key words: infinite periodic grating, integral equation, diffraction Manuscript submitted 30.05.2016 Radio phys. radio astron. 2016, 21(3): 189-197 REFERENCES 1. SHESTOPALOV, V. P., 1971. The method of the Riemann-Hilbert problem in the theory of electromagnetic wave diffraction and propagation . Kharkiv: Kharkiv State University Press (in Russian). 2. SHESTOPALOV, V. P., LYTVYNENKO, L. M., MASALOV, S. A. and SOLOGUB, V. G., 1973. Wave diffraction by gratings . Kharkiv: Kharkiv State University Press,(in Russian). 3. SOLOGUB, V. G., 1975. On some method for studying the problem of diffraction by a finite number of strips in the same plane. Dokl. AN USSR . Ser. A . no. 6, pp. 549–552 (in Russian). 4. LYTVYNENKO, L. M. and PROSVIRNIN, S. L., 2012. Wave diffraction by periodic multilayer structures . Cambridge: Cambridge Scientific Publishers. 5. LYTVYNENKO, L. M., KALIBERDA, M. E. and POGARSKY,S. A., 2013. Wave diffraction by semi-infinite venetian blind type grating. IEEE Trans. Antennas Propag . vol. 61, no. 12, pp. 6120–6127. DOI: https://doi.org/10.1109/TAP.2013.2281510 6. KALIBERDA, M. E., LYTVYNENKO, L. M. and POGARSKY,S. A., 2015. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinitegrating. Telecommunications and Radio Engineering . vol. 74, no. 9, pp. 753–767. DOI: https://doi.org/10.1615/TelecomRadEng.v74.i9.10 7. NEPA, P., MANARA, G. and ARMOGIDA, A., 2005. EM scattering from the edge of a semi-infinite planar strip grating using approximate boundary conditions. IEEE Trans.Antennas Propag . vol. 53, no. 1, pp. 82–90. DOI: https://doi.org/10.1109/TAP.2004.840523 8. GANDEL, YU. V., 1986. The method of discrete singularities in problems of electrodynamics. Voprosy Kibernetiki . no. 124, pp. 166–183 (in Russian) 9. GANDEL, YU. V., 2010. Boundary-value problems for the Helmholtz equation and their discrete mathematical models. J. Math. Sci. vol. 171, no. 1, pp. 74–88. DOI: https://doi.org/10.1007/s10958-010-0127-3 10. ZAGINAYLOV, G. I., GANDEL, Y. V., KAMYSHAN, O. P.,KAMYSHAN, V. V., HIRATA, A., THUMVONGSKUL, T. and SHIOZAWA, T., 2002. Full-wave analysis of the field distribution of natural modes in the rectangular waveguide grating based on singular integral equation method. IEEE Trans. Plasma Sci . vol. 30, no. 3. pp. 1151–1159. DOI: https://doi.org/10.1109/TPS.2002.801613 11. ZAMYATIN, YE. V. and PROSVIRNIN, S. L., 1986. Diffraction of electromagnetic waves by an array with small random fluctuations of the dimensions. Sov. J. Commun. Technol. Electron . vol. 31, no. 3, pp. 43–50. 12. ABRAMOWITZ, M. and STEGUN, I. A., eds., 1964. Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables . Numder 55 in National Bureau of Standards Applied Mathematics Series. U. S. Government Printing Office, Washington, D. C. 13. FELSEN, L. B. and MARCUVITS, N., 1973. Radiation and Scattering of Waves . Englewood Cliffs, N.J.: Prentice-Hall.

Parametric analysis of flare edge rolling throat bending and asymmetric flare effects for H-plane horn radiator

In this paper, radiation characteristics of H-plane sectoral horn antenna are treated systematically by investigation of main structural design parameters and, flare edge rolling, throat bending and asymmetric flare effects. The analytical regularization method (ARM) is used to solve the problem of E-polarized wave diffraction in a fast and accurate way. The numerical procedure is initially verified by the analytical solutions, and then the calculated directivity gain patterns are demonstrated for the modeled horn antenna configurations. Proper choices of the antenna parameters, such as horn depth, aperture length, feeder waveguide width, flare angle, wall thickness, flare edge rolling and throat bending are proposed for the designers to reach high directivity gain, narrow beam width, suppressed side lobe levels, increased front-to back ratio and improved aperture efficiency.

Analysis of aperture illumination and edge rolling effects for parabolic reflector antenna design

The radiation from parabolic reflector antennas for different amplitude and phase aperture illumination patterns is treated and the minimizations of the edge diffraction effects by edge rolling techniques are investigated in an accurate manner. The analytical regularization method (ARM) is used to solve the problem of E-polarized wave diffraction by parabolic shaped perfectly electrical conductive (PEC) cylindrical reflector with finite thickness. The initial boundary value problem is reduced to the infinite algebraic system of the second kind, which is an equation that can in principal be solved with any predetermined accuracy by means of the truncation procedure. The parabolic reflector is illuminated by a fictive feeder antenna which produces the desired phase and amplitude field distributions over the antenna aperture. Some edge rolling structures are analyzed to suppress the side and back lobes and to improve the aperture efficiency. The ARM procedure is verified by the analytical solutions and the calculated field patterns are presented for typical antenna configurations.

E-Polarized Scalar Wave Diffraction by Perfectly Conductive Arbitrary Shaped Cylindrical Obstacles with Finite Thickness

The Analytical Regularization Method is applied to the problem of E-polarized wave diffraction by arbitrary shaped cylindrical obstacle which is perfectly conductive and homogeneous in longitudional direction. The initial electromagnetic boundary value problem is reduced to the infinite algebraic system of the second kind by means of constructed analytical regularization procedure. As it is well-known, an equation of such a kind, in principal, can be solved with any predetermined accuracy by means of truncation procedure. Numerical implementation of corresponding analytical regularization procedure is suggested. Numerical results thus obtained show high quality of the algorithm, including relatively small values and uniform boundness of condition number of truncated algebraic systems when their size tends to infinity. By the qualitative property of infinite algebraic system of the second kind, it guarantees the stability of numerical process of truncated solving as well as the convergence of solution of truncated system to the solution of infinite system. Relevant numerical results, including condition number behaviour, current density, field space distribution and far field pattern for a few different resonant and non-resonant obstacles are presented.