Interactive Design and Simulation for Luneberg Lenses

Abstract:

In this paper, a CAD system is presented for the design, evaluation and simulation of Luneburg lenses. Since this system focuses on high-frequency spherical antenna design and simulation, electromagnetic waves are replaced by rays. A ray-tracing subroutine is employed to trace ray paths and compute phase variations along rays. In traditional CAD systems, the performance of a Luneburg lens is measured by using numerical algorithms, which are difficult to implement and require tremendous computational efforts. In the proposed system, the effectiveness of the target lens is evaluated solely by using the theory of Geometrical Optics (GO). Ray paths and wavefronts are rendered and displayed to show the directivity and focus characters of the lens. The ray phases along with ray paths are also illustrated in graphical media so that the gain and reflectivity of the lens can be predicted.

• Periodical: Applied Mechanics and Materials (Volumes 284-287)
• Pages: 2771-2777
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.284-287.2771
• Online since: January 2013
• Authors: Shyh Kuang Ueng, Hsuan Muh
• Keywords: Antenna Simulation, Electromagnetic Wave Visualization, Ray-Tracing, Spherical Lens

References

[1] Jeffrey M. Gordon, Spherical gradient-index lens as perfect imaging and maximum power transfer devices, Applied Optics, Vol. 39, pp.3825-3832 , (2000).

DOI: 10.1364/ao.39.003825

[2] A. Kay, Spherically symmetric lenses,  IRE Trans. Antennas Propag.,  vol. AP-7,  p.32 , (1959).

DOI: 10.1109/tap.1959.1144648

[3] Randy L. Haupt, An Introduction to Genetic Algorithm for Electromagnetics, IEEE Antennas and Propagation Magazine, Vol. 37, N0. 2, pp.7-15, (1995).

[4] C. Long Yu, S. W. Lee, Radar Cross Section Computation and Visualization by Shooting-and-Bouncing Ray (SBR) Technique, IEEE Trans. Antennas Propag.,  vol. 37,  p.194 , (1989).

DOI: 10.1109/aps.1992.221753

[5] H. Mosallaei and Y. Rahmat-Samii,   Nonuniform Luneburg and two-shell lens antennas: Radiation characteristics and design optimization,  IEEE Trans. Antennas Propagat.,  vol. 49,  pp.60-68 , (2001).

DOI: 10.1109/8.910531

[6] C. S. Liang , D. A. Streater , J. M. Jin , E. Dunn , T. Rozendal,   A quantitative study of Luneberg lens reflectors,  IEEE Antennas Propagat. Mag.,  vol. 47,  p.30 , (2005).

DOI: 10.1109/map.2005.1487776

[7] Hal Schrank, John Sanford, A Luneberg-Lens Update, IEEE Antennas and Propagation Magazine., vol. 37, no. 1, (1995).

DOI: 10.1109/74.370587

[8] S. S. Vinogradov, P. D. Smith, J. S. Kot, and N. Nikolic, Radar cross-section studies of spherical lens reflectors, Progress In Electromagnetics Research, Vol. 72, 325-337, (2007).

DOI: 10.2528/pier07031206

[9] Hao Ling, Ri-Chee Chou, Shung-Wu Lee, Shooting and Bouncing Ray: Calculating the RCS of an Arbitrarily Shaped Cavity, IEEE Transactions on Antennas and Propagation, vol. 37, no. 2, (1989).

DOI: 10.1109/8.18706