Well, take a look at "frequency independent antennas." These are things like tapers and sprirals. The smaller features determine the upper frequency cutoff and the largest features determine the lower frequency cutoff. Other than a specific design you find in the literature, this may the closest you can get. Also remember scalability. If you find an antenna that works, but operates in the wrong range of frequencies, you can scale the dimensions to move it to whatever band of frequencies you wish. The bandwidth will change, but the fractional bandwidth will not. That is the metric to use when scaling antennas.
The basic structure (mechanical dimension/s) defined by the parameter/s should be constant. i. e. If cone shape antenna to be design, the apex angle or the cone angle should be constant or let the structure is made up of different lengths & widths than ratio of length to width should be constant