The properties of convex gratings fabricated by electron-beam lithogra
phy are investigated. Three grating types are shown. The first is a si
ngle-panel, true blazed grating in which the blaze angle stays constan
t relative to the local surface normal. This grating provides high pea
k efficiencies of approximately 88% in the first order and 85% in the
second order. The second grating has two concentric panels, with each
panel blazed at a different angle. This type permits flexibility in ma
tching the grating response to a desired form. The third type has a gr
oove shape that departs from the sawtooth blazed profile to increase t
he second-order bandwidth. All these types are difficult or impossible
to produce with conventional techniques. The gratings compare favorab
ly with conventional (holographic and ruled) types in terms of efficie
ncy and scatter. Simple scalar models are shown to predict the wavelen
gth response accurately. These gratings allow the optical designer to
realize fully the considerable advantages of concentric spectrometer f
orms. (C) 1998 Optical Society of America OCIS codes: 050.1940, 050.19
50, 050.2770, 120.6200, 220.4000.