Numerical-analytical implementation of Galerkin technique for analysis of waveguide and slotted waveguide antenna arrays
DOI:
https://doi.org/10.1109/ICATT.2011.6170715Keywords:
waveguide arrays, slotted waveguide arrays, phased antenna arrays, Green’s function, integro-differential equations, Galerkin techniqueAbstract
A novel fast and accurate full-wave approach to the analysis of a wide class of slotted waveguide arrays and finite multi-layer waveguide arrays with dielectric cover is presented. The numerical-analytical solution is based on Galerkin method with weighted Chebyshev and Gegenbauer polynomials as basis functions explicitly accounting for the field asymptotic at the edges. An extremely fast convergence of the method is achieved due to proper basis functions. The other key point of the solution is the computational acceleration of double series and integrals which are the matrix elements of a final system of linear algebraic equations.
The results for traveling-wave array with shunt slots for radar applications are considered. A parametric study of waveguide antenna arrays with finite multi-layer dielectric cover is presented, which includes the effect of dielectric cover on impedance matching, array efficiency and directivity.
References
ANDO, M.; HIROKAWA, J.; YAMAMOTO, T.; AKIYAMA, A.; KIMURA, Y.; GOTO, N. Novel Single-Layer Waveguides for High-Efficiency Millimeter-Wave Arrays. IEEE Trans. Microwave Theory Techn., 1998, v.46, n.6, p.792-799, doi: http://dx.doi.org/10.1109/22.681202.
GALINDO, AMITEY V.; WU, C.P. Theory and Analysis of Phased Array Antennas. New York: Wiley, 1972.
ELLIOTT, R.S. On the design of traveling-wave-fed longitudinal shunt slot arrays. IEEE Trans. Antennas Propag., 1979, v.27, n.9, p.717-720, doi: http://dx.doi.org/10.1109/TAP.1979.1142166.
CST Microwave Studio. [Online]: http://www.cst.com.
YEE, H.Y. The design of large waveguide arrays of shunt slots. IEEE Trans. Antennas Propag., 1992, v.40, n.7, p.775-781, doi: http://dx.doi.org/10.1109/8.155742.
ENNEKING, A.; BEYER, R.; ARNDT, F. Fast and accurate computation of the external full-wave S-matrix for waveguide-fed slot arrays with arbitrarily shaped elements. Proc. of Millennium Conf. on Antennas and Propagation, Davos, 2000.
MANUILOV, M.; LERER, V.; SINYAVSKY, G. Fast and accurate full-wave analysis of large slotted waveguide array antennas. Proc. of 37th Eur. Microwave Conf., Munich, 2007, p.360-363, doi: http://dx.doi.org/10.1109/EUMC.2007.4405201.
MANUILOV, M.; LERER, V.; SINYAVSKY, G. An Efficient Method for the Electromagnetic Analysis of Slotted-Waveguide Antenna Arrays. J. Commun. Technology Electronics, 2008, v.53, n.12, p.1380-1390, doi: http://dx.doi.org/10.1134/S1064226908120024.
MANUILOV, M. Electromagnetic Analysis of Rectangular Waveguide Arrays with Finite Dielectric Coverings. J. Commun. Technology Electronics, 2003, v.48, n.6, p.606-613.
MANUILOV, M.; SINYAVSKY, G. Waveguide antenna arrays with multi-layer finite dielectric cover. Electromagnetic Waves and Electronic Systems, 2010, v.15, n.2, p.33-41.
MARKOV, G.T.; CHAPLIN, A.F. Excitation of Electromagnetic Waves. Moscow: Radio i Sviaz, 1983 [in Russian].
KRYLOV, V.I.; SHULGINA, L.T. Handbook for Numerical Integration. Moscow: Nauka, 1966 [in Russian].
LERER, A.M.; SCHUCHINSKY, A.G. Full-wave analysis of three-dimensional planar structures. IEEE Trans. Microwave Theory Techniques, 1993, v.41, n.12, p.2002-2015, doi: http://dx.doi.org/10.1109/22.273428.
