The Theory of Fractal Antennae

• (1) They are broad band antennae, i.e. they radiate, and detect, very efficiently for a wide range of frequencies. The frequency range is specified by the smallest and largest size present in the antenna. The radiation, and hence the detection, efficiency depends slowly on frequency between these two limits.
  
• (2) They can display considerable gain over normal dipole type of antennae and this gain depends slowly on frequency over a large frequency range. This antenna gain can be related to the spatio-temporal structure of the radiation pattern.
  
• (3) They can display spatial structure. The spatial structure is also related to the antenna gain, as the antenna concentrate radiated power in certain postions and now in others. This spatial structure can be very useful when directionality is required.

• Fractal Antennae and Coherence
• Radiation and Simple Fractal Models
  • Gain Due to Tortuosity
  • Fractal Tortuous Walk
  • Branching and Spatial Structure
• Modeling Lightning as a Fractal Antenna
  • Fractal Lightning: Stochastic Model
  • Computing the Fields from the Fractal Structure
  • How does the Fractal Dimension Affect the Field Pattern?
  • Fields from the Stochastic Model
• Appendix A: Fields from a Fractal Structure
• Fields from a Fractal Antennae
• The Far field
  
  
• References