Inertial Electrostatic Confinement

The Cathode Space, Where it All Happens:  A More Rigourous Explanation.  Originally by Dr. Robert Hirsch. [5]

1.  Take Poisson's Equation in Spherical Coordinates.  (Equation 1)

2. Set the virtual anode equal to ground, the same as the actual anode.  Apply Conservation of Energy to Protons and Electrons.  (Equations 2a&b)

3.  Apply Conservation of Charge to get the ion currents.  (Equation 3)

4.  Now, normalize the potential and radius. (ra being the anode radius.)  (Equations 4a&b)

5.  Rewrite Equation 1 in terms of R and f.  (Equations 5, 6, 7)

Its just that simple!