Array design for different SLL and null directions with an interior-point optimization method from the generalized-scattering-matrix and spherical modes

TitleArray design for different SLL and null directions with an interior-point optimization method from the generalized-scattering-matrix and spherical modes
Publication TypeConference Paper
Year of Publication2009
AuthorsCórcoles, J., M. A. González, J. Rubio, and J. Zapata
Conference NameAntennas and Propagation, 2009. EuCAP 2009. 3rd European Conference on
Date PublishedMarch
Keywordsantenna 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
AbstractThis 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.
URLhttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5067872