$\mathcal{PT}$-Symmetry Equalization and Time-Space Frequency Mapping in Leaky-Wave Antennas

Abstract

We present here the first complete, fundamental and rigorous general resolution of the broadside gain degradation issue, due to the phase matching of oppositely propagating space harmonics, in periodic leaky-wave antennas (P-LWAs). We show that the solution corresponds to a$\mathcal{PT}$-symmetry of the complex temporal frequency modes, related to topological unit cell asymmetry, by transforming them into complex spatial frequency modes using analytical continuation.

Authors 3

1. Amar Al-Bassam Aachen Institute of High Frequency Technology

   RWTH Aachen University

   Affiliation as printed

   Institute of High Frequency Technology, RWTH Aachen University,Aachen,Germany,52074

2. Dirk Heberling Aachen Institute of High Frequency Technology

   RWTH Aachen University

   Affiliation as printed

   Institute of High Frequency Technology, RWTH Aachen University,Aachen,Germany,52074

3. Christophe Caloz

   KU Leuven

   Affiliation as printed

   ESAT-WAVECORE,KU Leuven,Leuven,Belgium,3001