Phase Optimization Problems

Bulatsyk, Olena O.; Katsenelenbaum, B. Z.; Topolyuk, Yury P.; Voitovich, N. N.

doi:10.1002/9783527629824

Cited by 45 publications

(26 citation statements)

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“…More in detail, the synthesis problem is formulated as an optimization one [37] and the approach aims at determining the control phases and the positions of the patch elements and enforces proper constraints on the element locations, a crucial point of such an application due to the need of guaranteeing adequate inter-element spacings [30][31][32][33][34]. The attention in this paper is focused on flat radiating structures and the performance of the approach is assessed against different test-cases comprising a pencil-beam as well as a shaped-beam.…”

Section: Introductionmentioning

confidence: 99%

Phase-Only Synthesis of Flat Aperiodic Reflectarrays

Capozzoli¹,

Curcio²,

Liseno³

et al. 2013

PIER

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Abstract-A phase-only power pattern synthesis technique for flat (aperiodic) microstrip reflectarrays with elements arranged on a nonregular lattice is presented. The approach mitigates the typical design issues of reflectarray antennas related to the computational burden and to the possible occurrence of suboptimal solutions which are here even more significant due to the non-regular element lattice. This is done by a convenient two-stage procedure for choosing the starting point of the iterations and by proper representations of the unknowns of the problem. Design constraints on the element positions are also imposed to avoid overlapping as well as too large spacings. The algorithm, accelerated by parallel programming on Graphics Processing Units, has been analyzed against the cases of a pencil-beam and of a shapedbeam involving a typical South America coverage. In order to properly characterize the performance of the synthesis algorithm, it has been applied also to the design of reflectarrays with elements located on a non-regular lattice. The results show that in the case of non-regular lattice better directivities, better coverage behavior and better sidelobe levels are achievable as compared to reflectarrays characterized by a regular lattice.

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Section: Introductionmentioning

confidence: 99%

Phase-Only Synthesis of Flat Aperiodic Reflectarrays

Capozzoli¹,

Curcio²,

Liseno³

et al. 2013

PIER

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“…The various modifications of the Newton method have been developed for solving the nonlinear equations in [13], and have been detailed for the synthesis problems in [11]. We consider here the above approach for determination of the number of solutions and investigation of its properties by the example of the nonlinear equation (46), corresponding to functional κ (33).…”

Section: Investigation Of Branching Solutionmentioning

confidence: 99%

“…Since the used functionals are nonconvex, the several solutions can appear, what corresponds to existence of several local minima or saddle points. The number of solutions can vary depending on the physical parameters of the problem what requires the special careful analysis of the obtained solutions [11].…”

Section: The Numerical Solution Of the Integral Equationsmentioning

confidence: 99%

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Synthesis of Antenna Systems According to the Desired Amplitude Radiation Characteristics

Andriychuk¹

2012

Numerical Simulation - From Theory to Industry

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“…The synthesis problem is formulated as an optimization one [42] and the approach aims at determining the control phases ψ n and the positions of the patch elements (x n , y n ). The approach enforces also proper constraints on the element locations which is a crucial point due to the need of guaranteeing adequate inter-element spacings [21,[25][26][27]43].…”

Section: The Synthesis Strategymentioning

confidence: 99%

Fast, Phase-Only Synthesis of Aperiodic Reflectarrays Using Nuffts and Cuda

Capozzoli¹,

Curcio²,

Liseno³

et al. 2016

PIER

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Abstract-We deal with one of the computationally most critical steps of the Phase-Only synthesis of aperiodic reflectarrays, namely the fast evaluation of the radiation operator. We present an approach exploiting the use of a fast numerical algorithm using 2D Non-Uniform FFTs (NUFFTs) of NED (NonEquispaced Data) and NER (Non-Equispaced Results) type and of parallel processing on Graphics Processing Units (GPUs). We extend the approach in K. Fourmont, J. Fourier Anal. Appl., Vol. 9, No. 5, 431-540, 2013 for implementing NUFFT routines to the 2D case and illustrate the parallel strategies to accelerate the approach. In particular, we show how the two levels of parallelism intrinsic in the interpolation step of the 2D NED-NUFFT can be fruitfully exploited by adopting dynamic parallelism, a feature made available in one of the latest architecture of NVIDIA cards. The presented synthesis results show that the introduction of further degrees of freedom (positions) allows improving the performance with respect to periodic reflectarrays. Also, the possibility of adopting aperiodic reflectarrays of reduced number of elements for fixed performance is demonstrated.

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Phase Optimization Problems

Cited by 45 publications

References 0 publications

Phase-Only Synthesis of Flat Aperiodic Reflectarrays

Phase-Only Synthesis of Flat Aperiodic Reflectarrays

Synthesis of Antenna Systems According to the Desired Amplitude Radiation Characteristics

Fast, Phase-Only Synthesis of Aperiodic Reflectarrays Using Nuffts and Cuda

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