Analysis of 320X240 uncooled microbolometer focal plane array ...

9The first function of the right hand side of the equation is the transient term and thesecond function is the periodic term. At steady state, the transient term disappears andthe periodic term converges to its steady state magnitude. Equation 2.6 reduces toA metal has a linear dependence of change in resistance upon temperature,Re = Reo [l + y (T — TO]; (2.9)where Reo is the resistance of a material at ambient temperature T o, T is the absolutetemperature, and y is about 0.5% per degrees Centigrade for many metals [7]. FromEquation 2.8, the temperature coefficient of a metal is equal toa — (2.10)1 + y (T — To )The resistance dependency upon temperature change and the TCR for a semiconductorare given, respectively, byR, = Reo exp(f3 / T) , (2.11)a= —filr; (2.12)where 13 = e;1 2k 6 i is the intrinsic excitation energy or energy band gap, and k is theBoltzmann's constant (1.38 x 10' joule/deg K).