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144    Cha pte r  F o u r


                   1E–7                                           0.1

                 Pyroelectric current response (A)  1E–8          0.01  Pyroelectric voltage response (V)








                                                                  1E–3



                                                                  1E–4
                   1E–9
                       10 0      10 1      10 2       10 3      10 4
                                       Frequency (Hz)
               FIGURE 4.15  Comparison of the calculated and modeled current and voltage
               response for a sample similar in composition and fabrication route to that of
               Fig. 4.10. The lines correspond to the calculated voltage and current
               response. The parameters used for the calculation are P(VDF-TrFE) layer
                                                           2
               thickness d = 3.3 μm, input laser intensity of P = 13 kW/m , pyroelectric
                                    2
               coeffi cient p = 30 μC/(K ⋅ m ), absorber thickness 1.8 μm, absorption
               coeffi cient η = 0.9, R = 100 MΩ, and C = 75 pF.
                               i             i
               input parameters for the calculation are given by the sample geometry
               and are determined independently by ellipsometry (layer thickness
               values) or are inherent to the measurement setup (specified values
               for input resistance and capacitance of lock-in amplifier plus cable
               capacitance) or are determined by the excitation setup as the laser
               intensity.
                   The parameters that are not known exactly for this specific sample
                                                                        2
               are the pyroelectric coefficient, which was assumed to be 30 μC/(K ⋅ m )
               corresponding to measured values of similarly constructed samples
               and the absorbed intensity that is transferred to heat (90% absorption
               was estimated corresponding to independent NIR transmission mea-
               surements of the absorption layer). However, these values shift the
               obtained responses only linearly. The steeper drop of the measured
               values in the high-frequency range of the current response is due to the
               influence of the black absorber layer whose layer thickness seems to be
               underestimated in the model.
               Dependence of the Voltage Response on the Sensor Area  Even if the cur-
               rent response scales proportional to the surface area of the sensor,
               which follows directly from Eq. (4.29), the obtained voltage response
               shows a different behavior (see Fig. 4.16 for a sensor with 400 nm
               thick pyroelectric layer on glass substrate). According to Eq. (4.31) the
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