Determining the beam configuration necessary to deliver a desired dose
distribution with rotation therapy is equivalent to solving an integr
al equation. The equation has been solved analytically for a handful o
f dose distributions having specific radial variation and either rotat
ional or reflective angular symmetry. In this work a numerical method
for calculating beam profiles appropriate for producing distributions
having arbitrary radial variation and angular symmetry of order l grea
ter than or equal to 2 is presented. The accuracy of the technique is
demonstrated by comparison with one of the few dose distributions for
which an analytic solution exists, and the ability to produce both mor
e general and conformal distributions is also shown. The problems of n
egative intensity and scatter are discussed. (C) 1998 American Associa
tion of Physicists in Medicine. [S0094-2405(98)01206-1].