Abstract
Simple
analytical expressions for guided power transmission
through a periodic long-period grating with
consideration of the significant radiation loss are
derived from the complex coupled-mode theory. Under
nearly phase-matching condition, the full coupled-mode
equations are reduced to a set of two-mode equations for
which close-form analytical solutions are readily
obtained. For the long period grating with a high
refractive index outer cladding, the
effect of the radiation field on the guided mode can be
well represented and explained by a decay factor for the
envelope of the power profile along the waveguide. For
the long period grating with infinite cladding, an
approximate solution is proposed and shown to be in good
agreement with the exact numerical solution.
© 2011 IEEE
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