The primary mirror of the James Webb Space Telescope consists of 18 hexagonal seg- ments. To measure the step (height offset) between two adjacent segments, a blocker is inserted in the science instrument to only view a small patch of the mirror across two neighboring segments. The light from a star on this patch is then dispersed in wavelength via a grating, with a linear dispersion of 10 μm nm-¹ onto a detector, with the wavelength of 1500 nm falling at the centre of the detector. Bright fringes are observed at -2.5 and +2.5 mm from the centre of the detector, with a further 41 bright and 42 dark fringes near equally spaced in between these positions. Calculate the step offset between the two mirror segments.
The primary mirror of the James Webb Space Telescope consists of 18 hexagonal seg- ments. To measure the step (height offset) between two adjacent segments, a blocker is inserted in the science instrument to only view a small patch of the mirror across two neighboring segments. The light from a star on this patch is then dispersed in wavelength via a grating, with a linear dispersion of 10 μm nm-¹ onto a detector, with the wavelength of 1500 nm falling at the centre of the detector. Bright fringes are observed at -2.5 and +2.5 mm from the centre of the detector, with a further 41 bright and 42 dark fringes near equally spaced in between these positions. Calculate the step offset between the two mirror segments.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 38P
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