The development of coherent multidimensional microspectroscopy (CMDMS) is driven by a desire to investigate heterogenous samples and spatially resolve details about molecular structure and dynamics that are available using coherent multidimensional techniques (CMDS). However, incorporating traditional CMDS techniques into imaging modalities requires tackling obstacles including acquisition time, spatial resolution, and detection methods. Thus, this chapter reviews these challenges, the basics of microscopy and spatial resolution, and how different experimental setups implemented by the five research groups that have executed CMDMS approach these obstacles. In addition to a brief review of experimental set-ups, the main findings of each group are reviewed. Most of the current research is shown to be proof of concept, however with additional improvements valuable information could be gained about different biological and materials samples. In looking towards the future of the field, this chapter also reviews other methods for data reduction and detection methods that have been applied in CMDS experiments such as compressive sensing and fluorescence detection or fluorescence encoding methods to combat long acquisition times, IR detection limitations, and the diffraction limited spatial resolution inherent to the mid-IR.
