A 6-lens ESQ LEBT system is designed by a detailed computational analysis with the aim of transport a 30 mA, 35 kV high-brightness H$+$MIN$/ beam over a length of about 30 cm. The computer simulation studies are made using the beam parameters of two types of sources - a Penning-Dudnikov source at Los Alamos and a volume ionization source of BNL. In our effort for a waist-to- waist transport mode with the ESQ system, the computer simulation results predict a factor of about 1.8 emittance enhancement of the output beam for the Penning-Dudnikov case, while the emittance growth is insignificant for beams from the volume source. The emittance growth is reduced to a factor of about 1.4 by rejecting approximately 10% of the beam particles in the Penning-Dudnikov case. The lens system is fabricated in-house at Maryland. Experiments on beam transport are planned to understand the physics of emittance growth and establish the confidence limit of the computer codes used.
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