A refractive index grating according to this invention is a tilted grating
in a single mode optical waveguide, with a photosensitivity profile that
includes at least one "tuning region" in the waveguide core. Appropriate
choice of the photosensitivity profile of the waveguide can result in a
"supernull" in the LP.sub.01,f to LP.sub.01,b coupling. That is to say,
the angular range of the tilt angle .theta. over which the core mode
coupling is essentially zero (i.e., <-30 dB) can be substantially
increased, to more than 0.1.degree., or even 0.2 or 0.5.degree., as
compared to the angular range obtainable without a "tuning region" in the
waveguide core. The increased angular range provides for improved
manufacturability of the grating. In preferred embodiments the grating has
a large cladding loss (>20 dB) and bandwidth (>20 nm). A method of
trimming a grating is also disclosed.