“…The focus error or defocusing (z s À z f ) is determined from the position (triangulation) 5 , intensity 13 , beam size 14,15 , astigmatism 16,17 of a reflected probing beam, or chromatic aberrations 10,11 , nonlinear harmonics 18 of process-generated light. Other back-reflected detection methods also adopt differential optical paths 19,20 , interferometry 21,22 , diffractive beam samplers 23 , spatial light modulators 24 , dynamic mechanical scanning 3,25,26 , digital image correlation 12 , or commercial displacement sensors 7,9 . However, most optical metrology with automatic focus alignment still requires the mechanical motion of a z stage attached to the sample 6,14,18,19,22 or the focusing lens 3,8,10,[23][24][25] as the second 'movement' module in its feedback loop.…”