In this paper, we describe the spectral characteristics that can be ac
hieved in fiber reflection (Bragg) and transmission gratings. Both pri
nciples for understanding and tools for designing fiber gratings are e
mphasized. Examples are given to illustrate the wide variety of optica
l properties that are possible in fiber gratings. The types of grating
s considered include uniform, apodized, chirped, discrete phase-shifte
d, and superstructure gratings; short-period and long-period gratings;
symmetric and tilted gratings; and cladding-mode and radiation-mode c
oupling gratings.