%0 Journal Article %T Synthesis Procedure for Thinned Leaky-Wave-Based Arrays With Reduced Number of Elements %+ Institut d'Électronique et des Technologies du numéRique (IETR) %A Scattone, F. %A Ettorre, M. %A Fuchs, Benjamin %A Sauleau, R. %A Fonseca, N. J. G %Z Brittany Region %Z ESA %< avec comité de lecture %@ 0018-926X %J IEEE Transactions on Antennas and Propagation %I Institute of Electrical and Electronics Engineers %V 64 %N 2 %P 582--590 %8 2016-02 %D 2016 %R 10.1109/TAP.2015.2509008 %K Antenna arrays %K antenna radiation patterns %K Apertures %K array elements %K convex minimization %K embedded element patterns %K fast Green function spectral approach %K grating lobes %K Gratings %K ground plane %K iterative methods %K iterative optimization procedure %K leaky wave antennas %K Leaky-wave antennas %K Leaky-wave antennas (LWAs) %K leaky-wave modes %K leaky-wave-thinned array %K minimisation %K Minimization %K mutual coupling %K Optimization %K radiated field %K reduced number of elements %K thinned array antennas %K thinned leaky-wave-based arrays %K waveguide antenna arrays %K waveguide apertures %Z Engineering Sciences [physics]/Electronics %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]Journal articles %X We proposed a synthesis method to design thinned leaky-wave-based arrays. The array elements are small waveguide apertures opened on a ground plane. A superstrate (impedance sheet, dielectric slab, etc.) is placed above the array. The array elements excite leaky-wave modes between the ground plane and the superstrate, enhancing the aperture efficiency of the final antenna. An iterative optimization procedure based on a convex l1 minimization is used to reduce the number of array elements, maintaining the radiated field within a predefined mask. All the embedded element patterns are evaluated for each source through a fast Green's function spectral approach, taking into account the effects of the mutual coupling during the optimization procedure. The use of a superstrate provides array structures with a reduced number of elements and enhanced aperture efficiency with respect to configurations without superstrate. The level of the grating lobes is also controlled during the optimization. A parametric study is performed to understand the capabilities of the leaky-wave-thinned array varying the reflectivity of the superstrate. As an example, an array of 18 elements working over a 7% fractional bandwidth is synthesized, providing a reduction by a factor of 4 in the number of elements when compared to a configuration with the same requirements, but without superstrate %G English %L hal-01300881 %U https://univ-rennes.hal.science/hal-01300881 %~ UNIV-NANTES %~ UNIV-RENNES1 %~ CNRS %~ INSA-RENNES %~ IETR %~ IETR_SRC %~ STATS-UR1 %~ CENTRALESUPELEC %~ UR1-HAL %~ UR1-MATH-STIC %~ UR1-UFR-ISTIC %~ IETR-BEAMS %~ IETR-ADH %~ TEST-UNIV-RENNES %~ TEST-UR-CSS %~ UNIV-RENNES %~ INSA-GROUPE %~ UR1-MATH-NUM %~ IETR-SUMIT %~ NANTES-UNIVERSITE %~ UNIV-NANTES-AV2022