∮2πaψEψdλ=−1c2ddt{∮πa2ψFψdAl}
and
εo∮2πaψEψdλ=∮πa2ψρdAl
We have,
εo∮2πaψEψdλ=∮πa2ψρdAl=−1μoddt{∮πa2ψFψdAl}
An Eψ in a circle confines a sheet of particles of density ρ in the area of the circle, through which we have a time varying flux, Ψ,
∂Ψ∂t=∂∂t{∮πa2ψFψdAl}
In the last expression, either Fψ is time varying or the area Al is made to vary in time. In the latter case,
∂Al∂t=2πaψ∂aψ∂t
In which case, we can have a thin surface like a drum surface vibrating in and out of the confine of the circle. The points over the surface are not in phase. The normal at each surface point is swinging such that ^Fψ⋅nAl=cos(θ(t)) is time varying.
Such time varying effects will be seen as ripples across the surface. Fψ can be kept constant.
Just like Stargate.