Calculations Of Detuning With Amplitude For The Mcmillan Electron Lens In The Fermilab Integrable Optics Test Accelerator (Iota)

The McMillan electron lens will be one of the experimental implementations of nonlinear integrable lattices in the Fermilab Integrable Optics Test Accelerator (IOTA). We describe the physics of the nonlinear McMillan lens and calculate the tune dependence with amplitude from the experimental parameters. Some of the implications for the design of experiments in IOTA are discussed.