A method and apparatus for bonding on a silicon substrate are disclosed. An apparatus includes a membrane having a membrane surface, a groove in the membrane surface, a transducer having a transducer surface substantially parallel to the membrane surface, and an adhesive connecting the membrane surface to the transducer surface. The groove can be configured to permit flow of adhesive into and through the groove while minimizing voids or air gaps that could result from incomplete filling of the groove. Multiple grooves can be formed in the membrane surface and can be of uniform depth.