Any Vector Field satisfying

(1) | |||

(2) |

may be written as the sum of an Irrotational part and a Solenoidal part,

(3) |

(4) | |||

(5) |

**References**

Arfken, G. ``Helmholtz's Theorem.'' §1.15 in
*Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, pp. 78-84, 1985.

Gradshteyn, I. S. and Ryzhik, I. M. *Tables of Integrals, Series, and Products, 5th ed.* San Diego, CA:
Academic Press, pp. 1084, 1980.

© 1996-9

1999-05-25