We formulate the equations describing pulse propagation in a one-dimensional
optical structure described by the tight binding approximation, commonly used in
solid-state physics to describe electrons levels in a periodic potential. The
analysis is carried out in a way that highlights the correspondence with the
analysis of pulse propagation in a conventional waveguide. Explicit expressions
for the pulse in the waveguide are derived and discussed in the context of the
sampling theorems of finite-energy space and time signals.
©2001 Optical Society of America
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