Hamiltonian formulation of Flowlines, first step for Wigner formalism analysis

摘要

The postulation of Flowline design method, in the frame of nonimaging optics, was a fundamental step in the development of Field Theory of Geometrical Optics. During lasts years there have been new advances in the application of Field Theory elements to Flowline analysis, vector potential, interface factors, contour integrals. In this paper we starts a new natural step in the development of Flowline theory, we study Hamiltonian formulation of Flowline, as a first step for Wigner formalism analysis. We study two different perspectives in our approach to the problem, first the classical ray optics approach and second a new approach from Radiative force point of view. Radiative force approach seems to be more advantageous than ray optics, but further studies will be needed to confirm that hypothesis.