Types of 2D electrodes
The description '2D' impies that the geometry is described in terms of only 2 coordinates, which depend on the symmetry of the system.
In planar symmetry the coordinates that we use are x and z. The coordinate x is usually the transverse distance from an axis, while z is the distance along the axis. The third dimension y is assumed to extend infinitely far in the +/- y directions. The fields therefore depend on x and z, but not on y.
In cylindrical (or axial) symmetry the system is rotationally symmetric about the z axis. The only relevant transverse coordinate is the radial distance r from the axis. The fields therefore depend on r and z, but not on the angle of rotation θ around the axis.
In both symmetries the cross-section of an electrode can be straight or circular or a wide variety of other shapes, as described in the specification details.
Other electrode information is explained elsewhere: