Analysis of Directional Beam Patterns from Firefly Optimization

An analysis of the positional distributions of the elements of a linear antenna array is conducted.The movement and clustering of fireflies based on their intensity is applied as an optimization technique to determine the element positions that achieve a desired radiation pattern, consisting of a main beam bandwidth and sidelobe level.The expected value and variance of the resulting beam pattern with respect to angular position and probability distribution of inter-element distances as the number of elements are discussed.It is shown that the distribution for inter-element distances that meet the desired radiation pattern yields a bimodal structure, one where arrays consisting of a high number of elements experience clustering, with elements having a higher probability of being spaced closer together.