  As is known, microbunching instability (MBI) has been one of the most
challenging issues in designs of magnetic chicanes for short-wavelength
free-electron lasers or linear colliders, as well as those of transport lines
for recirculating or energy recovery linac machines. To more accurately
quantify MBI in a single-pass system and for more complete analyses, we further
extend and continue to increase the capabilities of our previously developed
linear Vlasov solver [1] to incorporate more relevant impedance models into the
code, including transient and steady-state free-space and/or shielding coherent
synchrotron radiation (CSR) impedances, the longitudinal space charge (LSC)
impedances, and the linac geometric impedances with extension of the existing
formulation to include beam acceleration [2]. Then, we directly solve the
linearized Vlasov equation numerically for microbunching gain amplification
factor. In this study we apply this code to a beamline lattice of transport arc
[3] following an upstream linac section. The resultant gain functions and
spectra are presented here, and some results are compared with particle
tracking simulation by ELEGANT [4]. We also discuss some underlying physics
with inclusion of these collective effects and the limitation of the existing
formulation. It is anticipated that this more thorough analysis can further
improve the understanding of MBI mechanisms and shed light on how to suppress
or compensate MBI effects in lattice designs.
