@conference {09_EuCAP_Corcoles,
	title = {Array design for different SLL and null directions with an interior-point optimization method from the generalized-scattering-matrix and spherical modes},
	booktitle = {Antennas and Propagation, 2009. EuCAP 2009. 3rd European Conference on},
	year = {2009},
	month = {March},
	pages = {1381-1385},
	abstract = {This paper presents a pattern synthesis technique for arbitrary planar arrays which can be characterized in terms of a generalized-scattering-matrix (GSM) and whose radiated field can be expressed as a spherical mode expansion (SME). The procedure yields the complex-valued excitations needed to achieve a pattern which fulfils the requirements of different sidelobe levels in different regions and several prescribed field nulls with a maximum directive gain. The formulation is based on matrix-valued functions which are computed from the GSM and the SME, so all interelement coupling effects coming from complex radiating structures used as array elements are inherently taken into account. To solve the resulting nonlinear optimization problem, a primal-dual interior-point filtering method specifically adapted to this formulation is developed. Numerical results are presented for arrays of microstrip patch antennas and dielectric resonator antennas.},
	keywords = {antenna pattern, antenna radiation patterns, antenna sidelobe level, dielectric resonator antenna, dielectric resonator antennas, electromagnetic coupling, Filtering, filtering theory, generalized scattering matrix, generalized-scattering-matrix, GSM, Hessian matrices, interelement coupling effect, interior-point optimization method, Jacobian matrices, microstrip antenna arrays, Microstrip antennas, microstrip patch antenna, Microstrip resonators, nonlinear optimization, optimisation, Optimization methods, pattern synthesis technique, planar antenna array, planar antenna arrays, Planar arrays, primal-dual interior-point filtering method, Resonator filters, S-matrix theory, spherical, spherical mode expansion, Transmission line matrix methods, wave expansion},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=5067872},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A and Rubio, J and Zapata, J}
}
@article {09_TAP_Corcoles_FourierSynthesis,
	title = {Fourier Synthesis of Linear Arrays Based on the Generalized Scattering Matrix and Spherical Modes},
	journal = {IEEE Transactions on Antennas and Propagation},
	volume = {57},
	number = {7},
	year = {2009},
	month = {July},
	pages = {1944-1951},
	abstract = {This paper presents a novel, simple pattern synthesis procedure for linear equispaced arrays which can be characterized by a generalized scattering matrix (GSM) and whose radiated field can be expressed as a weighted sum of shifted spherical waves. It can be viewed as an extension of the classic design techniques of the Fourier series (FS) method or the Woodward-Lawson frequency sampling method, to the case in which the individual antenna elements{\textquoteright} patterns and all interelement couplings are taken into account. The design procedure, which yields the excitations needed to achieve the desired pattern, is based on either the FS or the discrete Fourier transform (DFT) of the spherical mode expansion of the array radiated field, as well as on various properties associated to the FS or DFT coefficients. In this work, to compute the GSM of the array and the spherical mode expansion of the field, a validated hybrid full-wave methodology, based on the finite element method and rotation and translation properties of spherical waves, is used. Numerical results of different synthesized array patterns are presented for different arrays made up of dielectric resonator antennas and cavity-backed microstrip circular patches.},
	keywords = {Antenna array mutual coupling, cavity-backed microstrip circular patches, dielectric resonator antennas, discrete Fourier transform, discrete Fourier transforms, discrete Fourier transforms (DFT), finite element analysis, finite element method, finite element methods, Fourier series, Fourier synthesis, Frequency, generalized scattering matrix, GSM, interelement couplings, linear antenna arrays, linear arrays, linear equispaced arrays, microstrip antenna arrays, Microstrip antennas, pattern synthesis, S-matrix theory, Sampling methods, Scattering, scattering matrices, shifted spherical waves, signal sampling, spherical mode expansion, spherical modes, Transmission line matrix methods, Woodward-Lawson frequency sampling},
	issn = {0018-926X},
	doi = {10.1109/TAP.2009.2021929},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4907114},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A and Rubio, J}
}
@article {09_ELL_Corcoles_LPfromGSM,
	title = {Linear programming from generalised scattering matrix analysis of array for minimum sidelobe level and prescribed nulls},
	journal = {Electronics Letters},
	volume = {45},
	number = {1},
	year = {2009},
	month = {January},
	pages = {9-10},
	abstract = {A pattern synthesis technique for arbitrary planar arrays which are characterised in terms of a generalised scattering matrix and whose radiated field is expressed as a spherical mode expansion is introduced. The procedure yields the complex-valued excitations to achieve a minimum-maximum sidelobe level given a specified pointing direction and mainlobe width, as well as prescribed field nulls. All inter-element coupling effects coming from complex radiating structures used as array elements are inherently taken into account. Numerical results are presented for arrays of dielectric resonator antennas.},
	keywords = {Antenna arrays, arbitrary planar arrays, complex-valued excitations, dielectric resonator antennas, dielectric resonators, electromagnetic coupling, electromagnetic wave scattering, generalised scattering matrix analysis, inter-element coupling effects, linear programming, minimum sidelobe level array, minimum-maximum sidelobe level, pattern synthesis technique, prescribed nulls},
	issn = {0013-5194},
	doi = {10.1049/el:20092008},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4733076},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A and Zapata, J}
}
@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 {09_TAP_Corcoles_MultiobjectiveOptimization,
	title = {Multiobjective Optimization of Real and Coupled Antenna Array Excitations via Primal-Dual, Interior Point Filter Method From Spherical Mode Expansions},
	journal = {IEEE Transactions on Antennas and Propagation},
	volume = {57},
	number = {1},
	year = {2009},
	month = {Jan},
	pages = {110-121},
	keywords = {antenna array, Antenna arrays, Apertures, dielectric resonator antennas, Filters, generalized scattering matrix, Hessian matrices, Jacobian matrices, Lighting, matrix-valued functions, maximum crosspolar level, microstrip antenna arrays, Microstrip antennas, microstrip patch array, minimum aperture illumination efficiency, multiobjective optimization, optimisation, Optimization methods, planar antenna arrays, planar array excitations, Planar arrays, primal-dual interior point method, spherical mode expansions, spherical wave expansion, Transmission line matrix methods},
	issn = {0018-926X},
	doi = {10.1109/TAP.2008.2009727},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4797974},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A and Rubio, J}
}
@article {09_AWPL_Corcoles_MutualCouplingCompensation,
	title = {Mutual Coupling Compensation in Arrays Using a Spherical Wave Expansion of the Radiated Field},
	journal = {IEEE Antennas and Wireless Propagation Letters},
	volume = {8},
	year = {2009},
	pages = {108-111},
	abstract = {This letter presents a flexible method to compensate the interelement mutual coupling (MC) effects that may degrade the field pattern of an array of real and coupled antennas. A closed-expression for a mutual coupling compensation matrix (MCCM) is derived. The MCCM is used to compensate the presence of the real individual elements{\textquoteright} patterns and the interelement MC effects for any excitations obtained with an isotropic-based pattern synthesis method. The MCCM is calculated from the generalized scattering matrix (GSM) of an antenna array and the spherical mode expansion (SME) of its radiated field. For a given array, this MCCM has to be calculated only once since it only depends on the radiating and scattering characteristics of the antenna elements as well as on their location in the array. Conditions regarding null field pattern directions can also be reinforced in the MCCM. To compute the GSM of the array and the SME of the radiated field, a validated full-wave hybrid and modular methodology is used. Numerical results of synthesized patterns where the MC effects have been compensated are presented for arrays made up of dielectric resonator antennas.},
	keywords = {antenna array, Antenna array mutual coupling, Antenna arrays, antenna radiation patterns, dielectric resonator antennas, electromagnetic coupling, field pattern, field radiation, generalized scattering matrix, interelement mutual coupling effect, isotropic-based pattern synthesis method, modular methodology, mutual coupling compensation matrix, Planar arrays, quadratic programming, S-matrix theory, scattering matrices, spherical wave expansion},
	issn = {1536-1225},
	doi = {10.1109/LAWP.2008.2012276},
	url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4745777},
	author = {J C{\'o}rcoles and Gonz{\'a}lez, M A and Rubio, J}
}
