@article {11_TAP_CorcolesRubio_SphericalSynthesis,
title = {Spherical-Wave-Based Shaped-Beam Field Synthesis for Planar Arrays Including the Mutual Coupling Effects},
journal = {IEEE Transactions on Antennas and Propagation},
volume = {59},
number = {8},
year = {2011},
month = {Aug},
pages = {2872-2881},
abstract = {An analytical method to synthesize shaped-beam patterns with planar arrays, based on the handling of spherical waves, is proposed. Translational Addition Theorems will be used here for two different purposes: (1) relating the spherical modes produced by each element in the array to calculate the mutual coupling effects, and (2) expressing the field radiated by each element in terms of spherical modes corresponding to the whole array, to carry out a spherical-wave synthesis procedure based on the orthogonal properties of spherical modes. This field synthesis method is based on the fact that any antenna radiated field can be expressed as a discrete series of weighted spherical vector wave functions and it only requires the a priori knowledge of the Generalized Scattering Matrix of each array element considered as isolated from the rest of the array elements.},
keywords = {antenna feeds, antenna radiated field, antenna radiation patterns, Arrays, electromagnetic coupling, electromagnetic wave scattering, field synthesis method, generalized scattering matrix, GSM, Mutual coupling, mutual coupling effect, pattern field synthesis, planar antenna arrays, planar array, planar array element, Planar arrays, S-matrix theory, Scattering, spherical wave expansion, spherical-wave synthesis procedure, spherical-wave-based shaped-beam field synthesis, translational addition theorem, translational addition theorems, weighted spherical vector wave function},
issn = {0018-926X},
doi = {10.1109/TAP.2011.2158950},
url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=5871276},
author = {J C{\'o}rcoles and Rubio, J and Gonz{\'a}lez, M A}
}
@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_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}
}