In this paper, a novel v-shaped antenna is proposed. This type of antenna may be considered as an evolution of the noncoplanar fin antenna. The structure is similar to the latter but it is more easy to analyze and more approachable to the practical applications. Closed-form solutions for the characteristic impedance and the fields are obtained. The theoretical analysis makes use of conformal mapping technique based on the fact that a pure spherical TEM wave can be supported by the antenna.