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Wave Propagation through a One-Dimensional Dielectric Slab andΩ-Symmetric Transformations

✍ Scribed by J.P. Corones; R.L. Ochs; Jr.


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
199 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis


This paper contains an abstract theory of wave propagation through an inhomogeneous dielectric slab based on the splitting of waves into right and left propagating components. The mapping of right and left moving waves at one point in the slab to the waves at another point in the slab is found to have a symmetry called ⍀-symmetry which is a generalization of that possessed by symplectic transformations. An analogue of Hamiltonian mechanics is then presented based on these generalized symplectic transformations.