On the generalization of Snell's law | Zendy

Coleman C. J. | Zendy

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On the generalization of Snell's law

Author(s) -

Coleman C. J.

Publication year - 2004

Publication title -

radio science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.371

H-Index - 84

eISSN - 1944-799X

pISSN - 0048-6604

DOI - 10.1029/2003rs003002

Subject(s) - noether's theorem , snell's law , generalization , mathematics , subclass , plane (geometry) , class (philosophy) , mathematical analysis , pure mathematics , physics , refractive index , optics , geometry , computer science , lagrangian , antibody , artificial intelligence , immunology , biology

By means of Noether's theorem, it is shown that there is a large class of complicated refractive media for which there exists a Snell like law. Furthermore, a ray path through such a medium is shown to be related to one through an appropriate plane stratified medium. As a consequence, it is possible to find analytic expressions for the ray trajectories through a large subclass of such media.

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