Modern Hybrid Numerical-Ray Method for the Analysis/Synthesis of Large Convex Conformal Antenna Arrays Prabhakar H. Pathak, The Ohio State Univ. Electroscience Lab., Dept. of ECE, 1320 Kinnear Rd., Columbus, Ohio 43212, USA. E-mail: pathak.2@osu.edu Federico Puggelli, Univ. of Siena, Dept. of Information Engineering, Siena, Italy. E-mail: ruolando@gmail.com This course will present a physically appealing method for the relatively efficient analysis/synthesis of large, complex, conformal finite phased array antennas on a locally convex but otherwise complex platform (e.g., an aircraft,or spacecraft,etc.). The numerical FE-BI (or FEM) can be employed to obtain the array aperture surface field distribution by solving just the local array geometry for a given excitation. The latter provides the sources, via the equivalence theorem, which then radiate the array surface fields in presence of the rest of the array platform geometry. The effect of the platform is accounted for via the UTD ray technique. Two alternative UTD approaches are presented for launching rays from the array aperture sources; both provide a vivid picture for the array radiation mechanisms. The above hybrid procedure may be utilized iteratively for conformal array synthesis in which the initial guess is based on an application of the reciprocity theorem for plane wave illumination of the array, and its platform, in a direction opposite to the desired scan angle.