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The dual exponentially tapered slot antenna (DETSA) is a low-profile slot line radiator that is a modified form of a Vivaldi radiator. The DETSA is created by taking a Vivaldi radiator and tapering the outside edge of the slot line conductors. The shape of the outside edge of the slot line conductors adds additional antenna design degrees of freedom. This paper describes how the different shape parameters of the DETSA impact antenna performance.