中国物理B ›› 2010, Vol. 19 ›› Issue (2): 24202-024202.doi: 10.1088/1674-1056/19/2/024202

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Effects of optical axis direction on optical path difference and lateral displacement of Savart polariscope

张淳民, 任文艺, 穆廷魁   

  1. School of Science, Xi'an Jiaotong University, Xi'an 710049, China MOE Key Labaratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2009-04-07 修回日期:2009-07-14 出版日期:2010-02-15 发布日期:2010-02-15
  • 基金资助:
    Project supported by the State Key Program of National Natural Science Foundation of China (Grant No.~40537031), the National Natural Science Foundation of China (Grant No.~40875013), the National Defense Basic Scientific Research Project, China (Grant No.~A1420080187), the National High Technology Research and Development Program of China (Grant No.~2006AA12Z152).

Effects of optical axis direction on optical path difference and lateral displacement of Savart polariscope

Zhang Chun-Min(张淳民)†ger, Ren Wen-Yi(任文艺), and Mu Ting-Kui(穆廷魁)   

  1. School of Science, Xi'an Jiaotong University, Xi'an 710049, China;  MOE Key Labaratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2009-04-07 Revised:2009-07-14 Online:2010-02-15 Published:2010-02-15
  • Supported by:
    Project supported by the State Key Program of National Natural Science Foundation of China (Grant No.~40537031), the National Natural Science Foundation of China (Grant No.~40875013), the National Defense Basic Scientific Research Project, China (Grant No.~A1420080187), the National High Technology Research and Development Program of China (Grant No.~2006AA12Z152).

摘要: A simple method is applied to calculating the optical path difference (OPD) of a plane parallel uniaxial plate with an arbitrary optical axis direction. Then, the theoretical expressions of the OPD and lateral displacement (LD) of Savart polariscope under non-ideal conditions are obtained exactly. The variations of OPD and LD are simulated, and some important conclusions are obtained when the optical axis directions have an identical tolerance of \pm 1^{{\circ}}. An application example is given that the tolerances of optical axis directions are gained according to the spectral resolution tolerances of the stationary polarization interference imaging spectrometer (SPIIS). Several approximate formulae are obtained for explaining some conclusions above. The work provides a theoretical guidance for the optic design, crystal processing, installation and debugging, data analysis and spectral reconstruction of the SPIIS.

Abstract: A simple method is applied to calculating the optical path difference (OPD) of a plane parallel uniaxial plate with an arbitrary optical axis direction. Then, the theoretical expressions of the OPD and lateral displacement (LD) of Savart polariscope under non-ideal conditions are obtained exactly. The variations of OPD and LD are simulated, and some important conclusions are obtained when the optical axis directions have an identical tolerance of $\pm$ 1$^{{\circ}}$. An application example is given that the tolerances of optical axis directions are gained according to the spectral resolution tolerances of the stationary polarization interference imaging spectrometer (SPIIS). Several approximate formulae are obtained for explaining some conclusions above. The work provides a theoretical guidance for the optic design, crystal processing, installation and debugging, data analysis and spectral reconstruction of the SPIIS.

Key words: stationary polarization interference imaging spectrometer, Savart polariscope, optical axis, optical path difference

中图分类号:  (Polarimeters and ellipsometers)

  • 07.60.Fs
42.15.Eq (Optical system design) 42.15.Dp (Wave fronts and ray tracing)