Design of Conformal Phased Array with Lens

The proposed optics theory and the emergence of metamaterials provide an extremely convenient method for controlling electromagnetic waves. The application range of transformation optics can cover all electromagnetic phenomenons, especially the quasi-conformal transformation optics-QCTO can effectively avoid the narrow bandwidth and high material loss caused by electromagnetic metamaterials. It is possible to manufacture all-media equipments as the isotropy, wide-band and low-loss of the material. In this paper, the conformal phased array antenna is studied based on quasi-conformal transformation. The space between the linear array and the conformal array was transformed, and the conformal phased array is equivalent to the linear phased array by spatial transformation, and the design theory of array synthesis in the linear array is applied to the conformal phased array. Applying the coordinate mapping relationship between the spaces, the non-uniform parameter distribution of the lens was obtained, and the full dielectric lens was realized by perforating on media. The conformal array with the QCTO lens and the linear array were simulated by ANSYS HFSS simulation software. The results show that the QCTO lens can make the conformal array produce the same pattern to the linear array. This conclusion shows that the QCTO lens can control the array radiation pattern on any surface.