Abstract
A detailed root-locus analysis of the exact second-order model of the constant temperature detector bridge feedback system developed previously (Sherlock and Wyatt 1983) is presented. Such systems are widely used in hot-wire anemometry and have applications in other areas such as bolometric radiation detection. The results of this analysis clearly identify the bridge offset voltage as a most important and practically useful control parameter for tuning the system response to a desired form. The analysis also identifies a characteristic frequency omega j= alpha ID2/Cth (where alpha is the temperature coefficient of resistance of the detector element, Cth its thermal capacity and ID the quiescent current through it) as a crucial measure of the potential for bandwidth enhancement. If omega j/> omega i, the intrinsic thermal cut-off frequency of the detector, and omega e is the bandwidth of the amplifier in the bridge feedback system, then it is seen that appropriate tuning of the bridge offset gives a critically damped system with a bandwidth approximately ( omega e omega j)12/.
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