Application Of Hamiltonian Methods To Analogous Problems In Optics: Optical Fibers

Walter K. Kahn; Shuwen Yang

doi:10.1117/12.934053

7 December 1982 Application Of Hamiltonian Methods To Analogous Problems In Optics: Optical Fibers

Walter K. Kahn, Shuwen Yang

Proceedings Volume 0358, Applications of Mathematics in Modern Optics; (1982) https://doi.org/10.1117/12.934053
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

The formal analogy between Hamiltonian classical mechanics and quantum mechanics on the one hand and geometrical optics and physical optics on the other hand is systematically presented. When the time is replaced by the axial coordinate of a cylindrically uniform optical system and Hamilton's principle replaced by Fermat's principle, classical particle trajectories correspond to rays and quantum mechanical wave functions to physical optics fields. The operator formalism of quantum mechanics then provides elegant solutions for problems associated with propagation of beams in multimode optical fibers.

Citation Download Citation

Walter K. Kahn and Shuwen Yang "Application Of Hamiltonian Methods To Analogous Problems In Optics: Optical Fibers", Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); https://doi.org/10.1117/12.934053

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