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56    2 Extremely Short-External-Cavity Laser Diode
                                       0.6
                                                                              Dh 2 Dh 1
                                       0.5                              Lens
                                                                              I 0
                                                                                   LD1
                                       0.4
                                      Amplitude (mm)  0.3  Dh 1               x
                                                                                   MB

                                       0.2

                                       0.1             Dh 2

                                         0
                                          0  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9  1.0
                                                  Normalized laser spot position (x / l )
                                                                              0
                            Fig. 2.28. Variation in MC vibration amplitude as a function of the illuminated
                            spot position on the MC


                                             10 8
                                                               30
                                                              Amplitude (mV)
                                                               25
                                                               20
                                              7
                                             10
                                           Resonal frequency (Hz)  10 6 5 4  80 5 0 990  Frequency (kHz)  1020
                                                               15
                                                               10
                                                                         1010
                                                                    1000
                                             10
                                                              Amplitude (mV)
                                                               60
                                             10
                                                               40
                                                               20
                                              3
                                             10
                                                               0
                                                                190  195  200  205  210
                                                                    Frequency (kHz)
                                             10 2
                                               0     100    200
                                                 Cantilever microbeam length (mm)
                            Fig. 2.29. Resonance frequency and frequency spectra as a function of MC length
                            for GaAs
                            results calculated from (2.27) [2.23,2.24]

                                                                 E
                                                              t  12ρ
                                                       f 0 = λ 2   ,                      (2.27)
                                                             0   2
                                                               2πl
                            where λ 0 is the eigen value of 1.875 determined by the vibration mode, E is
                            Young’s modulus, ρ the density, l the cantilever length, and t its thickness.
                            The Q in air were approximately 250. In order to increase Q, dampingmech-
                            anisms such as imbalance and radiation at the supportingrim require further
                            studies. To increase the sensor sensitivity, the resonant frequency should be
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