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148    Cha pte r  F o u r


                          Current response             Voltage response
                       ohne                                          ohne
                       50 μm                   10 0                  50 μm
                       175 μm                                        175 μm
                       575 μm                                        575 μm
                 10 –8  1 mm                  10 –1                  1 mm
                       10 mm                                         10 mm
                 Current (A)  10 –9           Voltage (V)  10 –2
                                              10 –3
                                              10 –4
                 10 –10
                                              10 –5
                   10 –4  10 –2  10 0  10 2  10 4  10 6  10 –4  10 –2  10 0  10 2  10 4  10 6
                            Frequency (Hz)               Frequency (Hz)
                                             (a)
                          Current response             Voltage response
                       ohne                                          ohne
                       50 μm                  10 0                   50 μm
                       175 μm                                        175 μm
                 10 –8  575 μm                                       575 μm
                       1 mm                   10 –1                  1 mm
                       10 mm                                         10 mm
                 Current (A)  10 –9           Voltage (V)  10 –2
                                              10 –3
                                              10 –4
                 10 –10
                                              10 –5
                   10 –4  10 –2  10 0  10 2  10 4  10 6  10 –4  10 –2  10 0  10 2  10 4  10 6
                            Frequency (Hz)               Frequency (Hz)
                                             (b)
                          Current response             Voltage response
                       ohne                                          ohne
                       50 μm                  10 0                   50 μm
                       175 μm                                        175 μm
                       575 μm                                        575 μm
                 10 –8  1 mm                  10 –1                  1 mm
                       10 mm                                         10 mm
                 Current (A)  10 –9           Voltage (V)  10 –2
                                              10 –3
                                              10 –4
                 10 –10
                                              10 –5
                   10 –4  10 –2  10 0  10 2  10 4  10 6  10 –4  10 –2  10 0  10 2  10 4  10 6
                            Frequency (Hz)               Frequency (Hz)
                                             (c)
               FIGURE 4.18  Current and voltage response in dependence of the substrate
               thicknesses and the material for (a) silicon (b) glass, and (c) PET foil (Melinex
               from DuPont Teijin), calculated for the values of R =100 MΩ and C =75 pF.
                                                    i            i
               (See also color insert.)



               average temperature in the pyroelectric layer and the product of fre-
               quency, area, and pyroelectric coefficient [see Eq. (4.29)]. For frequencies
               below the cutoff, the voltage response is proportional to the current
               response according to V   = I  R with R being the overall resistance
                                   pyro  pyro
               of the equivalent circuit. According to that, the voltage response is
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