Equiangular Spiral Equation : r = InitialRadius + k*Exp( a*θ )
[Download EquiangularSpiral.json] Results: From: J. Dyson, "The equiangular spiral antenna," in IRE Transactions on Antennas and Propagation, vol. 7, no. 2, pp. 181-187, April 1959. "A circularly polarized antenna is described which makes possible bandwidths that a few years ago were considered to be impossible. The design of the antenna is based upon the simple fundamental principle that if the shape of the antenna were such that it could be specified entirely by angles, its performance would be independent of wavelength. Since all such shapes extend to infinity it is necessary to specify at least one length for an antenna of finite size. The one length in this antenna, the arm length, need only be of the order of one wavelength at the lowest frequency of operation to obtain operation essentially independent of frequency, and the geometry of the antenna allows this arm length to be spiraled into a maximum diameter of one half wavelength or less. Antennas have been constructed that have an essentially constant radiation pattern and input impedance over bandwidths greater than 20 to 1." |