@conference {09_APS_Corcoles_MultibeamLP,
	title = {Multibeam synthesis with minimum SLL through linear programming from the GSM-analysis of an array},
	booktitle = {Antennas and Propagation Society International Symposium, 2009. APSURSI {\textquoteright}09. IEEE},
	year = {2009},
	month = {June},
	pages = {1-4},
	abstract = {The application of all sort of optimization techniques to different array pattern synthesis problems has been widely studied since the early days of antenna array design. Most of these works (generally having constraints on the array configuration) take for granted several assumptions, among which one can highlight considering isotropic sources and not taking into account coupling between array elements. Great advances have been achieved in the field of computational electromagnetics which allow complex radiating structures, including finite antenna arrays, to be analyzed from a full-wave approach inherently taking into account all electromagnetic effects. Recently, new techniques for the afore-mentioned pattern synthesis problems with the inclusion of this rigourous electromagentic (EM) analysis have been developed. In this work, the authors propose an EM-based design technique which yields the excitations of an arbitraty planar array to output a field pattern with minimum maximum sidelobe level (SLL) given the directions of various main beams with specified mainlobe widths and different relative amplitudes and phase differences. The array is characterized through a generalized scattering matrix (GSM) and its radiated field is expressed as a spherical mode expansion (SME). The accurate determination of the array GSM is needed to have it rigourously characterized, so the use of a full-wave technique is required in case complex antenna elements or arbitrary array configurations are considered. We develop the formulation to arrive at a standard linear programming (LP) problem. Numerical results of a linear array of dielectric resonator antennas (DRA{\textquoteright}s) are presented.},
	keywords = {Antenna arrays, array pattern synthesis, complex radiating structures, computational electromagnetics, Design optimization, dielectric resonator antennas, electromagentic analysis, Electromagnetic analysis, electromagnetic fields, Electromagnetic radiation, electromagnetic waves, generalized scattering matrix, GSM, linear antenna arrays, linear programming, minimum maximum sidelobe level, multibeam antennas, multibeam synthesis, optimization, S-matrix theory, SME, spherical mode expansion},
	issn = {1522-3965},
	doi = {10.1109/APS.2009.5171513},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=5171513},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A}
}
@article {03_IEEPMAP_Ruiz-CruzEstebanRebollar_Efficientboundarycontour,
	title = {Efficient boundary contour mode-matching method of H- and E-plane junctions by fast Fourier transform algorithm},
	journal = {IEE Proceedings Microwaves, Antennas and Propagation},
	volume = {150},
	number = {5},
	year = {2003},
	month = {Oct.},
	pages = {332-338},
	abstract = {An efficient boundary contour mode-matching method (BCMM) is applied to the analysis of H- and E-plane junctions with planar and circular boundaries. The proposed approach is based on the use of the fast Fourier transform (FFT) to improve an analytical BCMM method. The electromagnetic field inside the structure is expressed in terms of circular waves, whereas in the rectangular ports a modal expansion is used. Depending on the shape of the contour, the original field expansion is rewritten in plane waves or in other sets of circular waves, replacing the conventional numerical integrations by a new, more suitable procedure. Finally, the transformation between the different expansions is carried out by means of the FFT, increasing notably the efficiency of the method. The presented formulation is verified by comparing simulated results with those obtained by other numerical techniques},
	keywords = {boundary contour mode-matching method, circular boundary, circular waves, coupling integrals, efficient method, electromagnetic field, electromagnetic fields, fast Fourier transform algorithm, fast Fourier transforms, FFT algorithm, field expansion, fullwave analysis, H-plane junctions, junction matrix, mode matching, planar boundary, plane waves, simulated results, waveguide junctions E-plane junctions},
	issn = {1350-2417},
	doi = {10.1049/ip-map:20030775},
	url = {http://ieeexplore.ieee.org/iel5/2196/28221/01262347.pdf?tp=\&isnumber=\&arnumber=1262347},
	author = {J A Ruiz-Cruz and Esteban,J and Rebollar, J M}
}
