ABSOLUTE INTERFEROMETRIC TEST FOR HIGH NUMERICAL-APERTURE SPHERICAL CONCAVES: GRAVITATIONAL EFFECT

Kenichi Hibino, Ryohei Hanayama, Kim Yangjin
Abstract:
Spherical concaves with high numerical apertures are required in industry for lithography optics in ultraviolet (UV) and X-ray wavelengths. Systematic error in the interferometric test of these surfaces are aberrations due to imperfect alignment, gravitational effect, geometrical effect of nonuniform phase shift, aberrations of converging optics, phase-shift nonlinearity, mechanical vibration, and so on. Gravitational deformation of a 4-inch spherical concave surface was measured in a vertical Fizeau interferometer. Aberrations caused by the deformation was separated and extracted from the total deviations of a sphericity measurement in an absolute test of two spherical comparisons. After subtracting the gravitation deformation from the shape of the spherical concave, we can define a neutral surface which is free from gravity. The gravitational sag in a horizontally placed spherical surface could be measured if we measure the difference of surface shape deviation from this neutral shape. Dominant alignment errors, coma and spherical aberrations were estimated numerically. Experimental results show that the aberrations caused by gravity amount to 7 nm peak-to-valley (PV).
Keywords:
spherical test, fizeau interferometer, phase measurement, gravitational deformation, phase shift
Download:
IMEKO-TC14-2014-10.pdf
DOI:
-
Event details
IMEKO TC:
TC14
Event name:
TC14 LMPMI Symposium 2014
Title:

11th Symposium on Laser Metrology for Precision Measurement and Inspection in Industry

Place:
Tsukuba, JAPAN
Time:
03 September 2014 - 05 September 2014