Simulation of a Discrete Luneburg Lens Fed by a Conformal Printed Antenna
Abstract
Communications and information technology stimulate a development of various antennas. Because of their simplicity, slot fed circular microstrip antennas (MA) 1 seem to be attractive. Even more attractive are MAs conformally printed on curved surfaces such as spherical-circular MA (SCMA) because of their higher degree of freedom. However, conventional numerical methods such as Moment-Method (MM) or FDTD need very high computer resources and do not guarantee a convergence because of ill-conditioned matrices numerical instabilities, and vulnerability to high-Q resonances. Besides many applications need special properties: agile scanning beam, multibeam capability, scanning in a large field of view, etc. Here, a very attractive candidate is a discrete Luneburg lens (LL) 2,3,4 which is a layered dielectric sphere. Spherical geometry of both SCMA and LL enables one to simulate them with the same method. Here, we shall use the Method of Analytical Regularization (MAR) 5-7 sometimes called semi-inversion method. Generally it converts a first-kind singular integral or series equation to a well-conditioned second-kind Fredholm matrix equation and therefore serves as a perfect pre-conditioner of an ill-posed problem. Then both numerical convergence and efficiency is achieved and matrix-truncation error is controlled.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 2002
- Accession Number
- ADP013961
Entities
People
- A. I. Nosich
- J. P. Daniel
- M. Himdi
- S. Rondineau