There are two influences of a dielectric layer on the breakdown in Paschen'
s law The potential difference at the dielectric layer itself enhances the
minimum value of firing voltage, while the strong field in the discharge sp
ace with a large dielectric constant reduces the firing voltage in a high p
ressure range. Specially in a coplanar geometry like AC-PDP [S. Sate et al.
: IEEE Trans. Electron Devices 23 (1976) 328.], the firing voltage is shown
to be higher due to the non-uniformity of the electric field along with th
e thickness of the dielectric layer.