2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84943The close analogy between geometrical optics and the classical theories of charged-particle beam optics have been known for a very long time. In recent years, quantum theories of charged-particle beam optics have been presented with the very expected feature of wavelength-dependent effects. With the current development of non-traditional prescriptions of Helmholtz and Maxwell optics respectively, accompanied with the wavelength-dependent effects, it is seen that the analogy between the two systems persists. A brief account of the various prescriptions and the parallel of the analogies is presented.LaTeX 10 pages, corrected eprint numbers in two references, http://www.pd.infn.it/~khan/ http://www.imsc.ernet.in/~jagan/OpticsAccelerator PhysicsGeneral PhysicsQuantum Physicstext