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

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...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2008-02, Vol.56 (2), p.485-492
Main Authors: Boriskin, A.V., Godi, G., Sauleau, R., Nosich, A.I.
Format: Article
Language:English
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
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Summary: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.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2007.915432