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I am currently studying laser interferometry. I understand that the coherence length of a laser, $L_\text{coherence} = c T_\text{coh}$, where $c$ is the speed of light and $T_\text{coh}$ is the coherence time, is of fundamental importance for interferometry applications. But I am also aware / I have also read that the wavefront quality of a laser is of paramount importance for interferometry applications. And then there are the (also important) related concepts of spatial coherence and temporal coherence, as explained here. In the context of laser interferometry, why is wavefront quality important, and what is the relationship between the coherence length of a laser and its wavefront quality (if any)?

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