Multipole channel parameters for equalization of beam intensity distribution

A method of beam intensity redistribution in a transport channel containing linear and nonlinear elements to provide uniformed irradiation area at the target is discussed. Linear elements (quadrupoles) are used to prepare a large beam spot at the target and nonlinear elements (octupoles, dodecapoles, etc.) are used to improve the beam uniformity. A kinematic relationship between the final beam distribution vs. initial beam distribution and optics channel parameters is given. The flattening of a Gaussian beam is discussed