Analysis and synthesis of supershaped dielectric lens antennas

A novel class of supershaped dielectric lens antennas, whose geometry is described by the three-dimensional (3D) Gielis' formula, is introduced and analysed. To this end, a hybrid modelling approach based on geometrical and physical optics is adopted in order to efficiently analyse the multiple wave reflections occurring within the lens and to evaluate the relevant impact on the radiation properties of the antenna under analysis. The developed modelling procedure has been validated by comparison with numerical results already reported in the literature and, afterwards, applied to the electromagnetic characterisation of Gielis' dielectric lens antennas with shaped radiation pattern. Furthermore, a dedicated optimisation algorithm based on quantum particle swarm optimisation has been developed for the synthesis of 3D supershaped lens antennas with single feed, as well as with beamforming capabilities.

[1]  R. Sauleau,et al.  Small Hemielliptic Dielectric Lens Antenna Analysis in 2-D: Boundary Integral Equations Versus Geometrical and Physical Optics , 2008, IEEE Transactions on Antennas and Propagation.

[3]  Wenbo Xu,et al.  An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position , 2008, Appl. Math. Comput..

[4]  S. Safavi-Naeini,et al.  Fast Analysis of Terahertz Integrated Lens Antennas Employing the Spectral Domain Ray Tracing Method , 2009, IEEE Antennas and Wireless Propagation Letters.

[5]  L. Le Coq,et al.  Flat-Shaped Dielectric Lens Antenna for 60-GHz Applications , 2011, IEEE Transactions on Antennas and Propagation.

[6]  P. de Maagt,et al.  Reflections inside an elliptical dielectric lens antenna , 1998 .

[7]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[8]  R. Sauleau,et al.  Small hemielliptic dielectric lens antenna analysis boundary integral equations vs. GO and PO , 2005, 2005 European Microwave Conference.

[9]  G. Fornarelli,et al.  Swarm Intelligence for Electric and Electronic Engineering , 2012 .

[10]  W. Marsden.  I and J , 2012 .

[11]  Electromagnetic characterization of supershaped lens antennas for high-frequency applications , 2013, 2013 European Radar Conference.

[12]  Kai Chang,et al.  Handbook of microwave and optical components , 1989 .

[13]  J. Gielis.  A generic geometric transformation that unifies a wide range of natural and abstract shapes. , 2003, American journal of botany.

[14]  Gabriel M. Rebeiz,et al.  A W-band dielectric-lens-based integrated monopulse radar receiver , 1998, 1998 IEEE MTT-S International Microwave Symposium Digest (Cat. No.98CH36192).

[15]  J. Mosig,et al.  Three-dimensional ray-tracing to model internal reflections in off-axis lens antennas , 2006, IEEE Transactions on Antennas and Propagation.

[16]  D. Caratelli,et al.  Plastic-Based Supershaped Dielectric Resonator Antennas for Wide-Band Applications , 2011, IEEE Transactions on Antennas and Propagation.

[17]  Kazuhiro Uehara,et al.  Lens-coupled imaging arrays for the millimeter- and submillimeter-wave regions , 1992 .

[18]  Range of validity and accuracy of the hybrid GO-PO method for the analysis of reduced-size lens antennas: Benchmarking with BoR - FDTD , 2008, 2008 Asia-Pacific Microwave Conference.

[19]  T. H. Buttgenbach.  An improved solution for integrated array optics in quasi-optical mm and submm receivers: the hybrid antenna , 1993 .

[20]  Gabriel M. Rebeiz,et al.  Double-slot antennas on extended hemispherical and elliptical quartz dielectric lenses , 1993 .

[21]  R. Sauleau,et al.  A new accurate design method for millimeter-wave homogeneous dielectric substrate lens antennas of arbitrary shape , 2005, IEEE Transactions on Antennas and Propagation.