Distributed by the Strategy and Policy Division (N51) of the Office of the Chief of Naval Operations (December 1992).

This report continues to have relevance in today’s world.

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# Year: 1992

## Non-Soviet Nuclear Threats: The Meaning of Deterrrence in a Global Context

## Magnetic Energy, Multiply-Connected Domains, and Force-Free Fields

## Axially Symmetric Solutions to the Force-Free Magnetic Field Equations in Spherical and Cylindrical Coordinates

Distributed by the Strategy and Policy Division (N51) of the Office of the Chief of Naval Operations (December 1992).

This report continues to have relevance in today’s world.

Phys. Rev. A Vol. 46, p. 2117 (1992) (PDF)

This paper addresses the question of magnetic energy in multiply connected domains. It is shown that the magnetic energy must in general include a boundary term that is usually assumed to vanish. The physical interpretation of this term is discussed in terms of De Rham’s theorems.

Phys. Rev. A Vol. 45, p. 7520 (1992) (PDF)

The force-free magnetic field condition is expressed in terms of a flux function; alpha is then also a function of the flux function, and with suitable restrictions the resulting equations can be separated and solved. The case of spherical coordinates yields four sets of solutions which are shown to be dependent and equivalent to a simple generalization of those given by Chandrasekhar [Proc. Natl. Acad Sci. USA Vol. 42, 1 (1956)]. Similarly, the case of cylindrical coordinates results in a generalization of the solution given by Furth, et al. [Rev. Sci. Instrum. Vol. 28, 949 (1957)].