Transient responses of fractal dipole antennas excited by an EMP

This paper investigates transient current responses of some fractal antennas excited by an EMP source. The phenomenon that fractal antennas are resonant at lower frequencies than their same-sized Euclidean counterparts can be also observed in our analysis in time domain. In order to model complex and multi-dimensional geometry of fractal curves, we employ linear vector basis defined on cylindrical surface. At the same time, Laguerre polynomials as entire domain temporal basis are used to expand the time variables related Numerical examples for some typical fractal antennas demonstrate that the resonant behavior is dominated by the overall pattern, physical size, and total wire length of the fractal antenna.