Measurement of two-dimensional small rotation angles by using orthogonal parallel interference patterns

Xiaoli Dai, Osami Sasaki, John E Greivenkamp, Takamasa Suzuki

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Based on measuring one-dimensional small rotation angles by using a parallel interference pattern (PIP), a method for measuring two-dimensional (2D) small rotation angles by using two different PIP's that are orthogonal to each other is proposed. We simultaneously measure the 2D small rotation angles Δθ and Δφ by detecting the phases of the orthogonal PIP's reflected by an object at two detection points. A sensitivity of 4.9 mrad/arcsec and a spatial resolution of 1.5 × 1.5 mm2 are achieved in the measurement. Theoretical analysis and experimental results show that error ε1 in the measurement of Δφ is almost equal to -0.01Δθ and error ε2 in the measurement of Δθ is almost equal to -0.01Δφ For small rotation angles of less than a few tens of arcseconds, the random errors whose standard deviations are 0.6 arcsec are dominant.

Original languageEnglish (US)
Pages (from-to)5657-5666
Number of pages10
JournalApplied Optics
Volume35
Issue number28
StatePublished - Oct 1 1996

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interference
Random errors
random errors
standard deviation
spatial resolution
sensitivity

Keywords

  • Interferometry
  • Orthogonal parallel interference patterns
  • Two-dimensional small rotation angles

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Measurement of two-dimensional small rotation angles by using orthogonal parallel interference patterns. / Dai, Xiaoli; Sasaki, Osami; Greivenkamp, John E; Suzuki, Takamasa.

In: Applied Optics, Vol. 35, No. 28, 01.10.1996, p. 5657-5666.

Research output: Contribution to journalArticle

Dai, Xiaoli ; Sasaki, Osami ; Greivenkamp, John E ; Suzuki, Takamasa. / Measurement of two-dimensional small rotation angles by using orthogonal parallel interference patterns. In: Applied Optics. 1996 ; Vol. 35, No. 28. pp. 5657-5666.
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