The paper by E. G. Harris presents an exact solution to the Vlasov equations describing a plasma sheath separating regions of oppositely directed magnetic fields. This solution differs from previous approximations made by MJOLNESS, RIBE, and RIESENFIELD, which involved assumptions about ion motion, neglecting ion current, and assuming equal electron and ion densities. Harris's solution does not require these approximations and assumes a continuous distribution of velocities with Maxwellian distributions at the plane where the magnetic field vanishes. The solution is valid in a coordinate system where the electron and ion drift velocities are equal in magnitude but opposite in direction, leading to a vanishing electric field and equal electron and ion densities everywhere. The paper provides a detailed derivation of the solution using the principles of conservation of energy and momentum.The paper by E. G. Harris presents an exact solution to the Vlasov equations describing a plasma sheath separating regions of oppositely directed magnetic fields. This solution differs from previous approximations made by MJOLNESS, RIBE, and RIESENFIELD, which involved assumptions about ion motion, neglecting ion current, and assuming equal electron and ion densities. Harris's solution does not require these approximations and assumes a continuous distribution of velocities with Maxwellian distributions at the plane where the magnetic field vanishes. The solution is valid in a coordinate system where the electron and ion drift velocities are equal in magnitude but opposite in direction, leading to a vanishing electric field and equal electron and ion densities everywhere. The paper provides a detailed derivation of the solution using the principles of conservation of energy and momentum.