Page 214 - Microsensors, MEMS and Smart Devices - Gardner Varadhan and Awadelkarim
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194    MICROSTEREOLITHOGRAPHY   FOR MEMS











                                                    UV light source















               Figure  7.28  Apparatus  for  mask-projection  method  of  microfabrication


     where  the  various  cosine  and  sine coefficients  are  defined  by




                                                                           (7.11)




     and  the  limits  on  the  integrals  are  defined  by,
                                p 1 =2  (x/a  - 0.
                                p 2  = 2 (x/a  + 0.
                                q 1 = 2 (y/a  - 0.                        (7.12)
                                              2
                                m =        z)/a

     where  A is the wavelength  of the  UV light, a  is the  length  of each  side  of the  square,  and
     h  is the  distance  between  the  mask and  the  surface of  the resin.
        The  light  intensity  inside  the  resin,  7(x,  y, z),  can  be  calculated  according  to  the
     Beer-Lambert  law  expressed  in  a slightly different  form  from  that of  Equation (7.13)

                            I x,y,z)  =  I d(x, y, 0)exp(-az)             (7.13)
                             (
     where a  is the absorption  coefficient  of the resin. The irradiation  exposure  E(x, y, z)  =
     I x,y,z)t,  where  t  is  the  irradiation  time  period.  The  resin  solidifies  once  the  irra-
      (
     diation  exposure  reaches  the  threshold  value  E c.  The  parameters  a  and  E 0  determine
     the  solidification properties  of  the  resin  and  must  be  determined  experimentally. Letting
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