What you might look at is a TEM horn design which is just a flared top and bottom plate design. (Ps TEM :is Transverse Electromagnetic Horn.). I Wish you good luck .
The shape of a radiator in Ultra-Wideband (UWB) antenna design can have a significant impact on the antenna's performance. UWB antennas are designed to operate over a broad frequency range, typically covering several gigahertz. The shape of the radiator affects various antenna parameters, such as impedance matching, radiation pattern, and bandwidth.
Bandwidth: The UWB antenna's primary characteristic is its wide bandwidth. The radiator shape influences the ability of the antenna to cover a broad frequency range
Impedance Matching: The shape of the radiator affects the impedance characteristics of the antenna. Achieving good impedance matching across the desired frequency range is essential for efficient power transfer between the antenna and the connected system.
Radiation Pattern: The shape of the radiator can influence the radiation pattern of the antenna. UWB antennas often require omnidirectional or directional radiation patterns, depending on the application. The choice of radiator shape can be tailored to achieve the desired radiation characteristics.
Polarization: The radiator shape can also influence the polarization of the UWB antenna. For certain applications, such as communication systems, it is crucial to maintain a consistent polarization to ensure proper signal reception and transmission.
Size and Form Factor: The physical size and form factor of the radiator impact the overall size of the UWB antenna.
Material Effects: The choice of materials and their arrangement in the radiator structure can affect the antenna's performance. Some shapes may be more amenable to specific materials, and the dielectric properties of materials can influence the antenna's characteristics.
The shape of the radiator(s), especially around the feeding point(s), has a major impact to the frequency response; an antenna can be looked upon as a sort of impedance transformer between the transmission line(s) and the medium radiated to. For UWB, there usually will be some form of tapering shape (where the radiation fields are set up) from the feeding point(s) to the extents for a smooth impedance transformation across frequency.