A convex dome 
of radius a
and radius of curvature R
in an infinite baffle is shown in Fig. 12.26
. We shall solve this problem using field matching, whereby we make use of the fact that the dome in an infinite baffle produces the same field as that of two back-to-back domes in free space that oscillate in opposite directions. The latter produces a symmetrical field which is identical to that of the single dome together with its image field due to reflection from the baffle. In this way,
the boundary condition of zero velocity or pressure gradient at the baffle is satisfied automatically.