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An ‘array’ polynomial approach is used to predict the positions of the reflectivity nulls for an ideal phase-switched screen (PSS) having many active layers. Several layer-switching schemes are examined and it is found that the resulting null position diagrams exhibit bifurcation behaviour similar to that found in many dynamical systems. The chaotic state is never achieved, however, since the ideal PSS is a linear system.
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Chambers et al. (2005) studied this question.
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