Page 353 - Microsensors, MEMS and Smart Devices - Gardner Varadhan and Awadelkarim
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ACOUSTIC  WAVE  PROPAGATION    333













          I mode                        II mode             + 1  T III  mode
                    Particle displacement for the first three Love modes

















             Frequency variation of the particle displacement for the first  three modes

  Figure  10.9  Displacement  modes  for  Love  wave  devices  (note  that  z  corresponds  to  x 2  and  y
  corresponds  to  X 3, in  Figure  10.8)


  10.5.3.2  Discussions  of  the  characteristics  of  the  Love  waveguiding
  materials


  It  may  be  noticed  from  earlier  discussions,  that  the  two  most  important  parts  of  a  Love
  wave sensor  are the overlayer  material  and the piezoelectric substrate.  Our discussion  now
  focuses  on  the  salient  points  of the  waveguide, particularly with respect  to the  properties
  of  the  material.
    Love  waves  propagate  near  the  surface  of  a  suitable  substrate  material  when  the
  surface  is  overlaid  by  a  thin  film  with  appropriate  properties  for  a  guiding  layer.  An
  essential  condition  for  the  propagation  of  a  Love  wave  is  that  the  shear  velocity  in
  the  film  is  less  than  that  in  the  substrate.  Sensitivity  to  mass-loading  is  enhanced  by
  the  low  density  of  the  film  as  well  as  a  large  difference  between  the  shear  velocities.
  For  a particular  guiding-layer  material,  an  optimum layer  thickness  exists,  which results
  in  maximum  acoustic  energy  density  close  to  the  surface  and  maximum  sensitivity  to
  mass-loading.
    Love wave devices incorporating  guiding layers of poly(methyl methacrylate)  (PMMA)
  and  sputtered  SiO 2  overlaid  on  single-crystal  quartz  have  been  successfully  demon-
                                                            3
  strated  (Du  et al.  1996).  PMMA  has  a  density  of  about  1.18  kg/m  and  has  a  shear
  acoustic  velocity  of  1100  m/s  (Kovacs  et al.  1993;  Jakoby  and  Vellekoop  1998;  Du et  al.
                                                                3
  1996),  whereas  sputtered  silicon  dioxide  has  a  density  of  about  2.3  kg/m  and  a  shear
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