Beam-Wave Interaction in Periodic and Quasi-Periodic Structures by Levi Schächter
Author:Levi Schächter
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg
(5.1.14)
The prime indicates that this amplitude represents the solution in the adjacent cell. Accordingly, the boundary conditions at read
(5.1.15)
and
(5.1.16)
The relation between the amplitudes of the wave in the second cell () and the first cell can be represented in a matrix form
(5.1.17)
where the components of are and and similarly, the components of are and . According to Floquet’s theorem (5.1.9) the two vectors are expected to be related by
(5.1.18)
thus represents the eigen-values of the single cell transmission matrix :
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