Hamiltonian optics

Hamiltonian optics is a framework for understanding the behavior of light and optical systems using principles derived from Hamiltonian mechanics, a reformulation of classical mechanics. This approach utilizes the mathematical structure and concepts of Hamiltonian systems to analyze optical phenomena, drawing parallels between the evolution of light rays and the motion of particles in classical mechanics. In Hamiltonian optics, light rays are treated as trajectories in a phase space, with the Hamiltonian function representing the energy of the optical system.