Sphere and cylinder are the two corrections a spectacle prescription names. Everything else the optical system does is grouped as higher-order aberrations: coma, trefoil, spherical aberration and their neighbours. They are described as wavefront terms, which is why outcome papers sometimes refer to wavefront-guided or wavefront-optimised treatment rather than to plain correction.
Where the terms come from
Wavefront measurement passes light or a pattern through the eye and records how the returning front deviates from a perfect reference. The deviations are broken into named terms so the same measure can be compared between visits and between studies.
Why some terms matter more
A term that produces halo or starburst patterns around lights at night reads differently to a patient than a term that mainly affects fine contrast. Studies that report a single aggregate aberration number collapse that difference.
Where the optics meet the wound
Some change in aberration is expected after any tissue-removing procedure. Its size depends on the treatment profile, on centration, and on how the ocular surface behaves in the weeks after. A measured change is not automatically a problem.
Cross-study snag
Aberration values are strongly dependent on pupil size at measurement. A study taken at a larger pupil usually reports larger numbers. Comparing two papers without checking this understates or overstates the difference.
What improves over time
Some aberration change settles between the early and the later visits as the surface recovers. Reporting only the first postoperative measurement can make a temporary phase look permanent.
Treatment-design choice
Wavefront-guided and wavefront-optimised treatments differ in what they aim to conserve. Which one suits an eye depends on the pre-operative aberration profile and the tissue available, which is why the two are compared rather than ranked.