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Measurement of period difference in grating pair based on compensation analysis of phase difference between diffraction beams

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Abstract

We propose an experimental method for measuring the period difference in a grating pair. The method uses the relationship between the period difference and the phase difference of diffraction beams of the grating pair when gratings are translated along the grating-vector direction. The effect of the roll angular deviation of gratings can be eliminated by phase compensation with +1st- and 1st-order diffraction beams. Far-field intensity patterns of diffraction beams are monitored to adjust the relative attitude of gratings. For a pair of gratings with periods of 0.674μm, the period difference was measured to be 0.4434nm with an expanded uncertainty (k=2) of 0.0113nm.

© 2009 Optical Society of America

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