We remove some ambiguities associated with the coupled mode description of
light propagation in fiber Bragg gratings (FBG's), We show, in particular,
that different methods employed in the literature lead to physically distin
ct results, The significant distinctions are discussed both for interferome
tric systems and intensity-only spectral measurements, Analysis of the refl
ection spectrum of a suitably designed double-grating structure is shown to
result in a novel form of spectral hole, similar to the well-known effect
derived from discontinuous phase gratings.