Rainbow Refraction Optimization Algorithm Inspired by Sea Rainbow Phenomenon

This paper proposes an optimization algorithm inspired by the physical phenomenon of sea rainbows. The formation of sea rainbows involves light undergoing physical processes such as refraction, reflection, dispersion, and interference in water droplets, and is also affected by sea surface fluctuations. This paper abstracts these physical mechanisms into a search strategy for the optimization process, forming a new swarm intelligence optimization method. The algorithm uses individual solutions as light incident points, employs a refraction formula for directional branching search, an internal reflection formula for achieving local and global balance, and a dispersion mechanism for parallel exploration of multiple solutions. Furthermore, it introduces a sea surface fluctuation perturbation matrix and a light interference superposition mechanism to achieve collaborative solution updates. Detailed mathematical formulas and derivations are provided, elaborating on the algorithm's operating mechanism and potential applications.