“…In most cases having complex boundaries, the closed‐form solutions for the surface shape is unavailable by solving
. With respect to the simplest case with constant boundary, namely
and
, the governing law for the deformed surface can be approximated by the Young–Laplace equation as [
7 ]
where
and
are the principle radii of the lens curvature, and the pressure difference
can be roughly estimated as
by ignoring the gravity force of the spherical dome.…”