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Three-dimensional (3-D) finite-difference time-domain (FDTD) simulation of a planar broadband Ka-band (25-35 GHz) antipodal linearly-tapered slot antenna (ALTSA) and the experimental measurements are presented. The Berenger perfectly matched layer (PML) absorbing boundary condition is used for the FDTD computation. A printed ALTSA has been realized by using the RT/Duroid PCB substrate. Good agreement between simulation and measurement were achieved.