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光学自由曲面超精密加工进展-RecentAdvancesin.PDF
Recent Advances in
Ultraprecision Machining for
Freeform Optics
Xiaoqin Zhou, Ph.D.
Prof. in Mechanical Engineering
School of Mechanical Science and Engineering
Jilin University, Changchun, China
xqzhou@
Sino-German Symposium on Sustainable Manufacturing, 2014
2
Contents
. Freeform optical surfaces
o Definitions, Advantages, Mathematical Description,
and Engineering Applications;
. Diamond turning for freeform surfaces
o Fast tool servo, Principle for generating freeform
surface, Modeling freeform workpiece, Toolpath
generation, topography of machined surface;
. Polishing for freeform surfaces
o Bonnet polishing (Zeeko), Magneto-rheological
finishing (QED), Belt polishing (Optipro), etc.
3
How to define freeform optical
surface?
. Any non-rotationally symmetric (NRS) or non-
axisymmetric optical surfaces (North Carolina State
University, Prof. T. Dow, et al, 2005);
. Optical surfaces without rotational symmetry, or that
depart or deviate from rotational symmetry (Univ.
of Rochester, Prof. J. Rolland, et al, 2012);
. For the freeform surfaces described in S: z=f(ρ, θ ),
the shape of S not only depends on the radial
variable ρ, but also the azimuthal variable θ.
4
Geometrical features
. Let S(ρ, θ, z) or S(x, y, z) be a freeform surface, then
ofor the plane with z=z0, the generated contour is always a
noncircular curve;
ofor the cylindrical surface S2 (x=ρcosθ,y= ρsinθ,z), the
space curve C can be formed by the intersection between
the S2 and S, which could not be degenerated into a circle.
An example of
freeform optical
surface, which is
represented by
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