Abstract
The complex coupled-mode theory (CMT) is applied to optical fiber grating
structures of circular cross section. The radiative fields are treated in
terms of discrete complex modes similarly to the guided modes in the
conventional CMT. The number of modes that contribute to the couplings may
be effectively reduced by considering the phase-matching condition.
Therefore, simple analytical expressions for mode amplitudes and powers are
obtained. Examples of the Bragg gratings with various outer cladding
refractive indexes, e.g., lower, equal to and higher than the inner cladding
refractive index, are investigated and show excellent agreement with
rigorous numerical solutions.
© 2010 IEEE
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