Assessment of FDTD Accuracy in the Compact Hemielliptic Dielectric Lens Antenna Analysis

• Published in: IEEE transactions on antennas and propagation Vol. 56; no. 3; pp. 758 - 764
• Main Authors: Boriskin, A.V., Rolland, A., Sauleau, R., Nosich, A.I.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Accuracy; Antennas; Applied sciences; Assessments; Boundary conditions; Code standards; Dielectric materials; Dielectrics; Exact sciences and technology; Finite difference methods; Finite difference time domain method; Finite-difference time-domain (FDTD); hemi elliptic dielectric lens antenna; Integral equations; Lens antennas; Lenses; Mathematical models; Meshing; Muller boundary integral equations; Optical materials; Radiocommunications; Resonance; resonances; Telecommunications; Telecommunications and information theory; Time domain analysis; Two dimensional displays; Near field; Finite difference time-domain analysis; Far field; Two dimensional model; Numerical method; hemielliptic dielectric lens antenna; resonances; Lens antenna; Absorbing boundary condition; Finite-difference time-domain (FDTD); Dielectric antenna; Millimetric wave; Accuracy; Muller boundary integral equations; Boundary integral equations
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2008.916950

We assess the accuracy of a standard finite-difference time-domain (FDTD) code in the analysis of the near and far-field characteristics of two-dimensional (2-D) models of small-size dielectric lens antennas made of low or high-index materials and fed by the line sources. We consider extended hemielliptic lenses and use the Muller boundary integral equations (MBIE) method as a suitable reference solution. Inaccuracies of FDTD near so-called half-bowtie resonances are detected. Denser meshing reduces the error of FDTD only to a certain level determined by the type of absorbing boundary conditions used and other fine details of the code. Out of these resonances, FDTD code is demonstrated as capable of providing sufficient accuracy in the near and far-field analysis of small-size hemielliptic lenses typical for the millimeter-wave (mm- wave) applications.