Diode lasers can be tuned by simultaneous rotation and translation of an ex
ternal grating. This can be achieved by rotating the grating about a displa
ced pivot point. We derive the tuning range as a function of pivot point po
sition for various extended cavity geometries. In each case, the geometric
problem reduces to the solution of a quadratic equation. For near-infrared
wavelengths, placement of the pivot is relatively noncritical for tuning ra
nges of the order of 10 GHz, but requires millimeter accuracy for a tuning
range >100 GHz. (C) 1999 Optical Society of America.