The Muon-Electron Conversion experiment, to be built at Brookhaven National
Laboratory, requires a complex set of solenoids to generate the required f
ield profile. Field magnitude, gradient and oscillations must all be contro
lled along the similar to 27 meter curved beamline to allow for optimal cap
ture of pi and mu particles, the sign and momentum selection of appropriate
mu particles, and their transport to the detector region. The solenoid sys
tem is designed to yield the required field profile in an efficient and cos
t-effective manner. A critical concern is the removal of field gradient rev
ersals along the beamline. The system is decomposed into a large number of
simple solenoids of equal current density, whose dimensions vary so as to o
btain the required field contribution. Analysis of the field influence of c
osmic ray shielding is provided, along with the field footprint of the enti
re system, Structural aspects are discussed, in particular relating to magn
etic forces and cryostat requirements.