  Kerr frequency combs generated in high-Q microresonators offer an immense
potential in many applications, and predicting and quantifying their behavior,
performance and stability is key to systematic device design. Based on an
extension of the Lugiato-Lefever equation we investigate in this paper the
perspectives of changing the pump scheme from the well-understood monochromatic
pump to a dual-tone configuration simultaneously pumping two modes. For the
case of anomalous dispersion we give a detailed study of the optimal choices of
detuning offsets and division of total pump power between the two modes in
order to optimize single-soliton comb states with respect to performance
metrics like power conversion efficiency and bandwidth. Our approach allows
also to quantify the performance metrics of the optimal single-soliton comb
states and determine their trends over a wide range of technically relevant
parameters.
