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Proceedings Paper

Application Of Hamiltonian Methods To Analogous Problems In Optics: Optical Fibers
Author(s): Walter K. Kahn; Shuwen Yang
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Paper 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.

Paper Details

Date Published: 7 December 1982
PDF: 8 pages
Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); doi: 10.1117/12.934053
Show Author Affiliations
Walter K. Kahn, George Washington University (United States)
Shuwen Yang, George Washington University (United States)


Published in SPIE Proceedings Vol. 0358:
Applications of Mathematics in Modern Optics
William H. Carter, Editor(s)

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