A Class of Focusing Waves with Controllable Spatial Extension and Directivity

Philippe Meton (1) , Andrea Cozza (2) , Florian Monsef (2)

1 DAM/GRAMAT - GRAMAT
2 DRE - Département de Recherche en Electromagnétisme ; EMG - Département Electromagnétisme - L2S

Slepian's concentration operator is applied in order to define a set of focusing waves with finite angular spread and the highest spatial focusing possible. These waves can be used as building blocks for the definition of any wave that requires to ensure both angular and spatial resolution, as an optimal trade-off within the bounds imposed by the uncertainty principle. Applications of these results can be expected in the form of focusing waves yielding higher energy efficiency for antenna characterization, EMC radiative-immunity tests, electronic warfare, as well as spatially-resolved beamforming.

Keywords: Focusing waves; plane-wave spectrum; Slepian functions

Domains: Engineering Sciences [physics]; Electromagnetism

Philippe Meton, Andrea Cozza, Florian Monsef. A Class of Focusing Waves with Controllable Spatial Extension and Directivity. IEEE Antennas and Wireless Propagation Letters, 2014, PP (99), 4 p. ⟨10.1109/LAWP.2014.2348935⟩. ⟨hal-01056114⟩