A missile includes a radar system that has a radome through which a main antenna sends and receives signals. The radome includes a radome body and a radome tip include different transmissive materials, with for example the radome body primarily made of a lossy optically nontransparent material, and the radome tip primarily made of a lossless (permittivity with low imaginary part) glass material that may also be optically transparent. A laser may be used in conjunction with the radome to send and receive encoded signals. The laser may be located behind (aft of) the main antenna, and one or more optical fibers may extend into and/or along the radome to guide laser signals to the radome tip. The laser may be used to emit encoded signals so as to allow multiple radar systems operating in the same area at the same time to discriminate between different targets.