According to the properties of conduction of thermal wave

one-dimension heat conduction equation is solved with matrix method. Heat conduction model of multi-layer pyroelectric detector is given.Dynamic pyroelectric response of the detector to sinusoidally modulated radiation is represented by matrices. With the results of matrix analysis

the influence of a thermal insulating layer on the improvement of the responsivity of the detector is discussed. Requirements to the thermal insulating layer are proposed. Influences of the parameters of each layer in the multi-layer detector on the performance of the detector are also discussed.