The pyroelectric response of the bulk-absorbing and free-bearing pyroelectric detectors with edge electrodes is deduced by using the one-dimensional diffusion theory. The pyroelectric response and NEP of the detectors are calculated as functions of detector thickness and working frequency. It is found that the detectors have optimum thickness of response and NEP. If the absorption coefficient of material can be increased beyond 5×104cm-1, the performance of the bulk-absorbing thin film detectors approach that of surface absorbing ones.