Small Hemielliptic Dielectric Lens Antenna Analysis in 2-D: Boundary Integral Equations Versus Geometrical and Physical Optics

• Published in: IEEE transactions on antennas and propagation Vol. 56; no. 2; pp. 485 - 492
• Main Authors: Boriskin, A.V., Godi, G., Sauleau, R., Nosich, A.I.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Accuracy; Algorithm design and analysis; Antennas; Applied sciences; Boundaries; Boundary integral equations (BIEs); dielectric lens antennas; Dielectrics; Exact sciences and technology; Finite difference methods; Focusing; Geometrical optics; geometrical optics (GO); Integral equations; Lenses; Optical design; Optical materials; Physical optics; physical optics (PO); Plane waves; Radiocommunications; Telecommunications; Telecommunications and information theory; Time domain analysis; Near field; Oblique incidence; Wireless telecommunication; Polarized wave; Geometrical optics; Boundary integral equations (BIEs); Lens antenna; Algorithm; Dielectric antenna; Open resonator; Accuracy; physical optics (PO); Free space propagation; Physical optics; dielectric lens antennas; Plane wave; Convergence rate; Galerkin method; geometrical optics (GO); Boundary integral equations; Normal incidence
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2007.915432

We assess the accuracy and relevance of the numerical algorithms based on the principles of geometrical optics (GO) and physical optics (PO) in the analysis of reduced-size homogeneous dielectric lenses prone to behave as open resonators. As a benchmark solution, we use the Muller boundary integral equations (MBIEs) discretized with trigonometric Galerkin scheme that has guaranteed and fast convergence as well as controllable accuracy. The lens cross-section is chosen typical for practical applications, namely an extended hemiellipse whose eccentricity satisfies the GO focusing condition. The analysis concerns homogeneous lenses made of rexolite, fused quartz, and silicon with the size varying between 3 and 20 wavelengths in free space. We consider the 2D case with both - and -polarized plane waves under normal and oblique incidence, and compare characteristics of the near fields.