@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_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}
}
