  The McMillan system is a novel method to increase the tune spread of a beam
without decreasing its dynamic aperture due to the systems integrability. While
the ideal system is based on an infinitely thin kick, the physical design
requires a thick electron lens, including a solenoid. Particle transport
through the lens is difficult to simulate due to the nature of the force on the
circulating beam. This paper demonstrates accurate simulation of a thick
McMillan lens in a solenoid using symplectic integrators derived from Yoshidas
method.
