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206                                        MEM Structures and Systems in RF Applications

                 reference oscillators, beams are designed for resonant frequencies including 19.2
                 MHz and 76.8 MHz for code-division multiple access (CDMA) wireless networks
                 and 26 MHz for Global System for Mobile Communications (GSM) networks.
                    The bottom electrode and the resonant beam are fabricated from polysilicon
                 using standard surface micromachining steps, with a sacrificial silicon dioxide layer
                 in between [23]. A sacrificial oxide layer is also formed on top of the resonant beam,
                 followed by a sacrificial nickel spacer on the sides of the beam. Gold electroplated
                 through a photoresist mask forms the top metal electrode. Finally, the nickel and
                 silicon dioxide are etched away to leave the freestanding beams.


                 Coupled-Resonator Bandpass Filters
                 The resonators just described have a very narrow bandpass characteristic, making
                 them suitable for setting the frequency in an oscillator circuit but not for a more gen-
                 eral bandpass filter. Bandpass filters pass a range of frequencies, with steep roll-off
                 on both sides. Two or more microresonators, of either the comb-drive or clamped-
                 clamped beam type, can be linked together by weak springs or flexures to create use-
                 ful bandpass filters (see Figure 7.12).






                               Electrode


                            Coupling Spring                           µresonators
                                                     L r
                     w r

                                              L 12                             Anchor



                                                               0
                                                                                 Performance
                                                             −5                   = 7.81 MHz
                                                                                 f 0
                                                             −10                 BW  =15kHz
                                                             −15
                       Electrodes                20 m       [dB]  −20            Rej.=35dB
                                                   µ
                                                                                 I.L.<2dB
                                                            Transmission  −25
                                                             −30
                                                            −35
                                                            −40
                                                            −45
                                                            −50
                                                                7.76   7.80   7.84  7.88
                                                                     Frequency [MHz]

                 Figure 7.12  Scanning electron micrograph of a polysilicon surface micromachined bandpass fil-
                 ter consisting of two clamped resonant beams coupled by a weak intermediate flexure spring. The
                 excitation and sensing occur between the beams and electrodes beneath them on the surface of
                 the substrate. Each resonant beam is 41 µm long, 8 µm wide, and 2 µm thick. The coupling flex-
                 ure is 20 µm long and 0.75 µm wide. (© 1998 IEEE [24].)
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