The superposition of a long-period grating and a fiber Bragg grating, which
we call an optical superlattice, causes high-efficiency narrow-band reflec
tions to be induced on either side of the Bragg wavelength. This effect was
recently observed experimentally in a fiber-based acousto-optic superlatti
ce modulator. We develop in detail the theory of optical superlattices in f
iber Bragg gratings,treating both the acousto-optic and the fixed-grating c
ases. Applications include reconfigurable wavelength division multiplexers,
fiber lasers and sensors, tunable filters, modulators, and frequency shift
ers. (C) 2000 Optical Society of America [S0740-3232(00)01606-9].