M. Tsai et al., Fractional fringe order method using fourier analysis for absolute measurement of block gauge thickness, OPT REV, 6(5), 1999, pp. 449-454
A fringe analysis method, which combines the Fourier transform with the fra
ctional fringe order method for measuring the absolute thickness of a block
gauge, is presented. An approximate integer part of the fringe order is es
timated by mechanical measurements, and the fractional part is determined b
y Fourier analysis of the interferometric fringe patterns. The fringe patte
rns are obtained with a Michelson interferometer by illumination of several
selected wavelengths, respectively. The use of the fractional fringe order
method can determine accurately more than 2 pi phase jumps. The measured t
hickness of a block gauge is 5999115.0 +/- 0.7 nm, which is comparable with
the standard thickness of 6 mm. The influence of wavelength and approximat
e integer part of fringe order on the measurement accuracy is discussed.