Study of heat-flow equation for uncooled infrared focal plane arrays

Since influences of each factor on temperature increase can be reflected by heat flow equation, study of it is helpful to optimal design for uncooled infrared focal plane arrays (UIFPA). But presently there is no more particular discussion of heat flow equation and no frank graphs as reference. In this paper particular discussions of influencing factors are given and for the first time 2-D and 3-D graphs are used to frankly show the degree of influences from different angle of view. Schemes on the optimal design of UIFPA are also given. According to graphs the maximum of temperature increase is obtained only when UIFPA is modulated at certain value which is less than cut-off modulation frequency. In 3-D graphs distinct curves are obtained in different range of thermal conductance and heat capacity and the optimal temperature increase value is achieved only when thermal conductance and heat capacity make thermal response time meet optimal condition. Optimal condition and formula can be deduced with given graphs and multifold approaches of optimal design of thermal isolation structure are discussed. It is proved that in optimal condition temperature increase can achieved 10-1 level. It is clear that data provided by 2-D and 3-D graphs is valuable to evaluate optimal range for UIFPA.