Dependence of residual path difference in a Michelson interferometer on the angular errors of mirror setting

1979 ◽  
Vol 30 (4) ◽  
pp. 531-533
Author(s):  
P. F. Parshin

2018 ◽  
Vol 8 (11) ◽  
pp. 2209 ◽  
Author(s):  
Yindi Cai ◽  
Zhifeng Lou ◽  
Siying Ling ◽  
Bo-syun Liao ◽  
Kuang-chao Fan

This paper presents a miniature three-degree-of-freedom laser measurement (3DOFLM) system for displacement feedback and error compensation of a nanopositioning stage. The 3DOFLM system is composed of a miniature Michelson interferometer (MMI) kit, a wavelength corrector kit, and a miniature autocollimator kit. A low-cost laser diode is employed as the laser source. The motion of the stage can cause an optical path difference in the MMI kit so as to produce interference fringes. The interference signals with a phase interval of 90° due to the phase control are detected by four photodetectors. The wavelength corrector kit, based on the grating diffraction principle and the autocollimation principle, provides real-time correction of the laser diode wavelength, which is the length unit of the MMI kit. The miniature autocollimator kit based on the autocollimation principle is employed to measure angular errors and compensate induced Abbe error of the moving table. The developed 3DOFLM system was constructed with dimensions of 80 mm (x) × 90 mm (y) × 20 mm (z) so that it could be embedded into the nanopositioning stage. A series of calibration and comparison experiments were carried out to test the performance of this system.



1971 ◽  
Vol 49 (17) ◽  
pp. 2237-2249 ◽  
Author(s):  
C. Delisle ◽  
M. Brochu ◽  
J. M. St-Arnaud

The visibility of the channelled spectrum, or in other words the visibility of the spectral density modulation at the exit of a Michelson interferometer illuminated with a parallel beam of white light, is theoretically independent of the frequency and path difference of the two beams formed in the interferometer. Up to now there has been no agreement between theory and experiment. It is shown here, theoretically and experimentally, that the decrease in visibility with increasing path difference is related to both the finite size of the slits and the limit of resolution of the apparatus.



1985 ◽  
Vol 24 (11) ◽  
pp. 1599 ◽  
Author(s):  
G. Thuillier ◽  
Gordon G. Shepherd


1970 ◽  
Vol 48 (18) ◽  
pp. 2112-2117 ◽  
Author(s):  
Jean-Marie St-Arnaud ◽  
Claude Delisle

A Michelson interferometer is illuminated by a parallel beam of white light. The visibility of the channelled spectrum or spectral density modulation at the exit of the interferometer is measured as a function of the path difference between the two beams formed in the interferometer. The experimental results show that the contrast has not completely disappeared for a path difference much larger than that already reported in the literature.



2003 ◽  
Vol 36 (6) ◽  
pp. 1432-1439 ◽  
Author(s):  
John P. Sutter ◽  
Ulrich Kuetgens ◽  
Gerhard Materlik ◽  
Armen Rostomyan

A Michelson interferometer for X-rays of wavelength ∼1 Å has been proposed to test the temporal coherence of FEL radiation. Such a device has been made at HASYLAB from a silicon single crystal. It is based on the BBB interferometer of Bonse and Hart. One of its mirrors can be pushed by a piezo to introduce the desired beam path difference. For the preliminary tests described in this paper, the crystal was also equipped with an LLL interferometer to check the quality of the crystal and of its preparation. The rotation of a phase-shifting object (a Plexiglas plate) in one of the LLL's beam paths has been found to produce a fringe pattern which can be shown to yield the phase-shifting material's index of refraction. The interferometer crystal's front section was held fixed with a compression spring. At the same time, the interferometer was bathed in viscous silicone oil to reduce vibrations.



1974 ◽  
Vol 52 (17) ◽  
pp. 1694-1702 ◽  
Author(s):  
Andrzej Zardecki ◽  
Claude Delisle

Recent experiments of Delisle and Brochu, in which spectral modulation at a large path difference was observed, are analyzed in quantum mechanical terms. Starting with a stationary density operator for thermal light, a two beam superposition such as taking place in a Michelson interferometer, is investigated. It is shown that a simple interference law holds separately for each mode of radiation. Consequently, a coherent superposition of light should be observed for a time delay arbitrarily large compared to the coherence time. The latter determines merely the range of intensity modulation. Analysis of the Michelson interferometer accounting for the energy returned to the source is also presented.





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