  We examine the prospects for utilizing the optical bichromatic force (BCF) to
greatly enhance laser deceleration and cooling for near-cycling transitions in
small molecules. We discuss the expected behavior of the BCF in near-cycling
transitions with internal degeneracies, then consider the specific example of
decelerating a beam of calcium monofluoride molecules. We have selected CaF as
a prototype molecule both because it has an easily-accessible near-cycling
transition, and because it is well-suited to studies of ultracold molecular
physics and chemistry. We also report experimental verification of one of the
key requirements, the production of large bichromatic forces in a multi-level
system, by performing tests in an atomic beam of metastable helium.
