The usual formula for the excess noise produced in a simple avalanche photo
diode may be introduced in a particularly simple manner by taking advantage
of the Fact that the ionization coefficients usually encountered in practi
ce are often regarded as constant throughout the device For any specific ap
plied bias voltage. An analytic expression for the hole current as a functi
on of position, along with a novel interpretation of the minimum-noise cond
ition, are also given.