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Doppler asymmetric spatial heterodyne spectroscopy (DASH) technique with the advantages of high spectral resolution and high phase sensitivity can be considered as a combination of the spatial heterodyne spectroscopy (SHS) technique and the Michelson interferometer technique, which is very suitable for high-precision passive measurement of Doppler velocity. Since a larger optical path difference offset in one of the spectrometer arms corresponds to a higher phase shift sensitivity while suffering a lower contrast of the interferogram, there is an optimum path difference offset for measuring the phase shift and thus the Doppler shift is most sensitive. By comprehensively considering the trade-off between the contrast and the phase shift sensitivity of the interferogram, in this paper we carry out theoretical analysis on the optimum path difference offset. Based on the efficiency function which is defined as the product of the optical path difference and the contrast of the interferogram, the mathematical expressions of the optimum path difference offset for the Gaussian and Lorentz type emission spectral lines are theoretically deduced, respectively. In order to verify these two mathematical expressions, a simulation analysis about the phase shifts of the interference fringes for a single Gaussian type emission spectral line is carried out. The simulation result is consistent with the theoretical value calculated by the deduced mathematical expression. In addition, concerning the complexity of the traditional data processing method for resolving the Doppler velocities of multiple spectral lines, a simplified data processing method based on partial interference fringes is proposed. In general, a single spectral line should be distinguished and isolated from multiple spectral lines in the traditional data processing method. If the distribution of the spectral lines in the passband is too dense, a DASH spectrometer with high enough spectral resolution will be needed. The proposed processing method, retrieving the Doppler velocity from multiple spectral lines without isolating a single line in frequency domain, can not only effectively reduce the calculation of data processing, but also lower the requirement for the spectral resolution of the DASH spectrometer. Combining it with the adaptive frequency-tracing algorithm, the simulation calculations of the Doppler velocity measurement process of the single and multiple spectral lines are conducted. The results show that without taking the noise into account, the maximum resolving errors derived from the proposed data processing method for single and multiple spectral lines are similar, both within 0.005 m/s. It indicates that the proposed data processing method can fully meet the accuracy requirement of practical application and shows the prospect of wide applications in the field of passive Doppler velocity measurement.
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Keywords:
- Doppler asymmetric spatial heterodyne spectroscopy /
- Doppler velocity measurement /
- frequency-tracking algorithm /
- optimum path difference offset
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[2] Pepe F, Mayor M, Delabre B, Kohler D, Lacroix D, Queloz D, Udry S, Benz W, Bertaux J L, Sivan J P 2000 Proceedings of the Astronomical Telescopes and Instrumentation Munich, Germany, August 16, 2000 p582
[3] Rupprecht G, Pepe F, Mayor M, et al. 2004 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Glasgow, United Kingdom, September 30, 2004 p148
[4] Zhao F, Wang H J, Zhao G, Wang L, Liu Y J 2015 Astron. Res. Technol. 12 117 (in Chinese) [赵斐, 王汇娟, 赵刚, 王靓, 刘玉娟 2015 天文研究与技术 12 117]
[5] Perruchot S, Kohler D, Bouchy F, et al. 2008 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Marseille, France, July 9, 2008 p70140J
[6] Vogt S S, Allen S L, Bigelow B C, et al. 1994 Proceedings of the 1994 Symposium on Astronomical Telescopes and Instrumentation for the 21st Century Kailua, United States, June 1, 1994 p362
[7] Mégevand D, Zerbi F M, Cabral A, et al. 2012 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Amsterdam, Netherlands, September 24, 2012 p84461R
[8] Wang Q M, Zhang Y M 2006 J. Optoelectronics · Laser 17 179 (in Chinese) [王青梅, 张以谟 2006 光电子· 激光 17 179]
[9] Chang L 2007 M. S. Thesis (Kunming: Yunnan Observatories, Chinese Academy of Sciences) (in Chinese) [常亮 2007 硕士学位论文 (昆明:中国科学院云南天文台) ]
[10] Shepherd G G, Thuillier G, Gault W A, Solheim B H, Hersom C, Alunni J M, Brun J F, Brune S, Charlot P, Cogger L L 1993 J. Geophys. Res. 98 10725
[11] Gault W A, Brown S, Moise A, Liang D, Sellar G, Shepherd G G, Wimperis J 1996 Appl. Opt. 35 2913
[12] Gao H, Tang Y, Hua D, Liu H, Cao X, Duan X, Jia Q, Qu O, Wu Y 2013 Appl. Opt. 52 8650
[13] Harlander J, Reynolds R J, Roesler F L 1992 Astophys. J. 396 730
[14] Harlander J M, Roesler F L, Englert C R, Cardon J G, Conway R R, Brown C M, Wimperis J 2003 Appl. Opt. 42 2829
[15] Englert C R, Harlander J M, Cardon J G, Roesler F L 2004 Appl. Opt. 43 6680
[16] Englert C R, Harlander J M 2006 Appl. Opt. 45 4583
[17] Englert C R, Stevens M H, Siskind D E, Babcock D D, Harlander J M 2006 Proceedings of the SPIE Optics and Photon. San Diego, United States, September 1, 2006 p63030T
[18] Englert C R, Babcock D D, Harlander J M 2007 Appl. Opt. 46 7297
[19] Peng X, Zhang W 2017 Acta Photon. Sin. 46 0311003 (in Chinese) [彭翔, 张嵬 2017 光子学报 46 0311003]
[20] Mosser B, Maillard J P, Bouchy F 2003 PASP 115 990
[21] Wang L 2007 Ph. D. Dissertation (Xi'an: Xi'an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences) (in Chinese) [汪丽 2007 博士学位论文 (西安: 中国科学院西安光学精密机械研究所) ]
[22] Xun J P 2008 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [郧建平 2008 博士学位论文 (武汉:华中科技大学) ]
[23] He J, Zhang C M, Tang Y H, Zhao B C 2005 Acta Opt. Sin. 25 577 (in Chinese) [贺健, 张淳民, 唐远河, 赵葆常 2005 光学学报 25 577]
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[1] Jiang M D, Xiao D, Zhu Y T 2012 Prog. Astron. 30 246 (in Chinese) [姜明达, 肖东, 朱永田 2012 天文学进展 30 246]
[2] Pepe F, Mayor M, Delabre B, Kohler D, Lacroix D, Queloz D, Udry S, Benz W, Bertaux J L, Sivan J P 2000 Proceedings of the Astronomical Telescopes and Instrumentation Munich, Germany, August 16, 2000 p582
[3] Rupprecht G, Pepe F, Mayor M, et al. 2004 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Glasgow, United Kingdom, September 30, 2004 p148
[4] Zhao F, Wang H J, Zhao G, Wang L, Liu Y J 2015 Astron. Res. Technol. 12 117 (in Chinese) [赵斐, 王汇娟, 赵刚, 王靓, 刘玉娟 2015 天文研究与技术 12 117]
[5] Perruchot S, Kohler D, Bouchy F, et al. 2008 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Marseille, France, July 9, 2008 p70140J
[6] Vogt S S, Allen S L, Bigelow B C, et al. 1994 Proceedings of the 1994 Symposium on Astronomical Telescopes and Instrumentation for the 21st Century Kailua, United States, June 1, 1994 p362
[7] Mégevand D, Zerbi F M, Cabral A, et al. 2012 Proceedings of the SPIE Astronomical Telescopes and Instrumentation Amsterdam, Netherlands, September 24, 2012 p84461R
[8] Wang Q M, Zhang Y M 2006 J. Optoelectronics · Laser 17 179 (in Chinese) [王青梅, 张以谟 2006 光电子· 激光 17 179]
[9] Chang L 2007 M. S. Thesis (Kunming: Yunnan Observatories, Chinese Academy of Sciences) (in Chinese) [常亮 2007 硕士学位论文 (昆明:中国科学院云南天文台) ]
[10] Shepherd G G, Thuillier G, Gault W A, Solheim B H, Hersom C, Alunni J M, Brun J F, Brune S, Charlot P, Cogger L L 1993 J. Geophys. Res. 98 10725
[11] Gault W A, Brown S, Moise A, Liang D, Sellar G, Shepherd G G, Wimperis J 1996 Appl. Opt. 35 2913
[12] Gao H, Tang Y, Hua D, Liu H, Cao X, Duan X, Jia Q, Qu O, Wu Y 2013 Appl. Opt. 52 8650
[13] Harlander J, Reynolds R J, Roesler F L 1992 Astophys. J. 396 730
[14] Harlander J M, Roesler F L, Englert C R, Cardon J G, Conway R R, Brown C M, Wimperis J 2003 Appl. Opt. 42 2829
[15] Englert C R, Harlander J M, Cardon J G, Roesler F L 2004 Appl. Opt. 43 6680
[16] Englert C R, Harlander J M 2006 Appl. Opt. 45 4583
[17] Englert C R, Stevens M H, Siskind D E, Babcock D D, Harlander J M 2006 Proceedings of the SPIE Optics and Photon. San Diego, United States, September 1, 2006 p63030T
[18] Englert C R, Babcock D D, Harlander J M 2007 Appl. Opt. 46 7297
[19] Peng X, Zhang W 2017 Acta Photon. Sin. 46 0311003 (in Chinese) [彭翔, 张嵬 2017 光子学报 46 0311003]
[20] Mosser B, Maillard J P, Bouchy F 2003 PASP 115 990
[21] Wang L 2007 Ph. D. Dissertation (Xi'an: Xi'an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences) (in Chinese) [汪丽 2007 博士学位论文 (西安: 中国科学院西安光学精密机械研究所) ]
[22] Xun J P 2008 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [郧建平 2008 博士学位论文 (武汉:华中科技大学) ]
[23] He J, Zhang C M, Tang Y H, Zhao B C 2005 Acta Opt. Sin. 25 577 (in Chinese) [贺健, 张淳民, 唐远河, 赵葆常 2005 光学学报 25 577]
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