  We present a design for a high-energy single stage mid-IR difference
frequency generation adapted to a two-color Ti:sapphire amplifier system. The
optimized mixing process is based on chirped pulse difference frequency
generation (CP-DFG), allowing for a higher conversion efficiency, larger
bandwidth and reduced two photon absorption losses. The numerical start-to-end
simulations include stretching, chirped pulse difference frequency generation
and pulse compression. Realistic design parameters for commercially available
non linear crystals (GaSe, AgGaS2, LiInSe2, LiGaSe2) are considered. Compared
to conventional un-chirped DFG directly pumped by Ti:sapphire technology we
report a threefold increase of the quantum efficiency. Our CP-DFG scheme
provides up to 340 {\mu}J pulse energy directly at 7.2 {\mu}m when pumped with
3 mJ and supports a bandwidth of up to 350 nm. The resulting 240 fs mid-IR
pulses are inherently phase stable.
