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Chin. Phys. B, 2010, Vol. 19(11): 114201    DOI: 10.1088/1674-1056/19/11/114201
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

A simple and effective model for Jones matrix to evaluate the transmission performance of Savart polariscope

Wu Hai-Ying(吴海英)a), Zhang Chun-Min(张淳民)a)†, and Li Jie(李杰)b)
a Non-equilibium Condensed Matter and Quantum Engineering Laboratory, the Key Laboratory of the Ministry of Education, School of Science, Xi'an Jiaotong University, Xi'an 710049, China; b School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  Starting from the wave normal tracing treatment in the Savart polariscope that relates the Jones matrix to its transmission performance, this paper establishes a simple and effective model for the Jones matrix at an arbitrary incidence in the spatial domain. Analytical expressions of all the matrix components are determined with the consideration of all the main impact factors. This model needs only a few parameters hence it is convenient to be employed to evaluate the propagation performance of any birefringent optical system. The simulated results obtained with it demonstrate that this model gives a precise representation of the characteristic of light propagation in the Savart polariscope. This would provide useful suggestions for the design, calibration, and performance improvement of any other birefringent polarisation element and optical system.
Keywords:  wave normal tracing method      Jones matrix      transmission performance      Savart polariscope  
Received:  09 September 2009      Revised:  19 May 2010      Accepted manuscript online: 
PACS:  02.10.Yn (Matrix theory)  
  07.60.Fs (Polarimeters and ellipsometers)  
  42.79.Ci (Filters, zone plates, and polarizers)  
Fund: 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).

Cite this article: 

Wu Hai-Ying(吴海英), Zhang Chun-Min(张淳民), and Li Jie(李杰) A simple and effective model for Jones matrix to evaluate the transmission performance of Savart polariscope 2010 Chin. Phys. B 19 114201

[1] Zhu S D 1990 Appl. Opt. 29 410
[2] Zhu X, Kean P N and Sibbett W 1989 Opt. Lett. 14 1192
[3] Schirmer J and Schmidt-Kaler T 2000 Opt.Commun. 176 313
[4] Drlscoll W G and Vaughan W 1978 Handbook of Optics (Newyork: Mc-Graw-HillBook Co.) p102, p21
[5] Azzam R M A and Bashara N M 1977 Ellipsometry and Polarized Light (New York: North-Holland Publishing Co.) p367
[6] Yu H W and Meng S X 1996 Opt. Eng. 35 2310
[7] David W F and Andrew R H 2004 Opt. Express 12 5368
[8] Gao Z, Oka K, Tsuyoshi I and Naoshi B 2002 Appl. Opt. 41 734
[9] Nathan H, Kazuhiko O and Eustace L Dereniak 2007 Opt. Lett. 32 2100
[10] Luo H T, Oka K, Edward D, Kudenov M, James S and Eustace L D 2008 Appl. Opt. 47 4413
[11] Bloom A L 1974 J. Opt. Soc. Am. 64 447
[12] Hodgkinson I J and Vukusic J I 1978 Appl. Opt. 17 1944
[13] Jurgen M, Eberhard S and Thomas M 1992 Appl. Opt. 31 5022
[14] Zhu X N 1994 Appl. Opt. 33 3502
[15] Yang T, Jing H M and Liu D H 2006 J. Opt. A: Pure Appl. Opt. 8 295
[16] Yang T, Wan X K, Jing X M and Liu D H 2007 J. Opt. A: Pure Appl. Opt. 9 222
[17] Zhang C M, Bin X L and Zhao B C 2000 Proc. SPIE 4087 957
[18] Zhang C M, Bin X L and Zhao B C 2004 J. Opt. A: Pure Appl. Opt. 6 815
[19] Wu H Y, Zhang C M and Zhao B C 2008 Acta Phys. Sin. 57 3499 (in Chinese)
[20] Zhang C M, Zhao B C, Bin X L, Li Y C and Peng Z H 2006 Proc. SPIE 6150 615001
[21] Wu H Y, Zhang C M, Zhao B C and Li Y C 2009 Acta Phys. Sin. 58 1642 (in Chinese)
[22] Wu H Y, Zhang C M and Zhao B C 2008 Acta Phys. Sin. 58 930 (in Chinese)
[23] Zhang C M, Zhao B C and Bin X L 2004 Appl. Opt. 43 6090
[24] Mu T K, Zhang C M and Zhao B C 2009 Opt.Commun. 282 1699
[25] Zhang C M, Zhao B C, Yuan Z L and Huang W J 2009 J. Opt. A: Pure Appl. Opt. 11 085401
[26] Zhang C M, Ren W Y and Mu T K 2010 Chin. Phys. B 19 024202 endfootnotesize
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