Field Transformation Approach to Designing Lenses
This chapter presents a technique--referred to herein as the Field Transformation method--for designing flat lenses, as well as flat-base Luneburg lens antennas for wide-angle scanning using waveguide array feeds. The performance characteristics of these lenses are compared with those based on Transformation Optics (TO) paradigm, which has been recently developed as a tool for designing lenses of the same type. It is shown, via several examples, that the Field Transformation approach leads to designs which use conventional materials that are conveniently realizable, as opposed to metamaterials or those with anisotropic properties, that are often called for and are difficult to realize in TO-based designs. Furthermore, the Field Transformation approach enables one to control both the phase and amplitude distributions in the aperture of an antenna, which is difficult to do when employing the geometry transformation approach prescribed in the TO paradigm.
KeywordsWide Frequency Band Waveguide Array Electrical Length Transformation Optic Broad Frequency Band
- 4.Luneburg RK (1964) Mathematical theory of optics. University of California Press, Berkeley/Los Angeles, pp 182–193Google Scholar
- 5.Jain S, Abdel-Mageed M, Mittra R(2013) Design of flat lenses using field manipulation. IEEE Antennas and Propagation Society International Symposium (APS), Orlando, (to appear)Google Scholar
- 9.Tom D, Guy L, Jack H, Nathan L, Nathan K, Basov Dimitri N, Smith DR (2012) Performance of a three-dimensional transformation-optical-flattened Luneburg lens. Opt Express 20(12):13264–13273Google Scholar
- 11.Jain S, Mittra R (2013) Broadband flat-base Luneburg lens antenna for wide angle scan. Metamaterials, Bordeaux, France. (to appear)Google Scholar