Acta Optica Sinica, Volume. 33, Issue 7, 726001(2013)
Quaternion Method in Polarization Optics
[1] [1] P R Girard. The quaternion group and modern physics[J]. Eur J Phys, 1984, 5(1): 25-32.
[2] [2] A Waser. Application of bi-quaternions in physics [J/OL]. 2007, www.Andre-waser.ch/pulications/Application of Bi-quaternions in physics.
[3] [3] S De Jeo, G Ducati. Quaternionic groups in physics: a panoramic review[J]. Int J Theor Phys, 1999, 38: 2179-2220.
[4] [4] A P Yefremov. Quaternions: algebra, geometry and physical theories[J]. Hypercomplex Numbers in Geometry and Physics, 2004, 1(1): 104-119.
[5] [5] Ding Guangtao. Bi-quaternion form of electromagnetism thoery [J]. Scientia Sinica Physica, Mechanic & Astronomica, 2012, 42(10): 1029-1039.
[6] [6] Xu Fangguan. Quaternion Physics [M]. Beijing: Beijing University Press, 2012.
[7] [7] Xiao Shangbin. The method of quaternion and its application[J]. Advances in Mechanics, 1993, 23(2): 249-260.
[8] [8] B P Ickes. A new method for performing digital control system attitude computations[J]. AIAA J, 1970, 8(1): 13-17.
[9] [9] Liao Yanbiao. Polarization Optics[M]. Beijing: Science Press, 2003. 45-63.
[10] [10] M Richartz, H Y Hsu. Analysis of elliptical polarization[J]. J Opt Soc Am, 1949, 39(2): 136-157.
[11] [11] J Cernosec Simple geometrical method for analysis of elliptical polarization [J]. J Opt Soc Am, 1971, 61(3): 324-327.
[12] [12] Ding Guangtao. Quaternion representation of polarized light [J]. Huanghuai Journal, 1993, 9(1): 43-48.
[13] [13] Ding Guangtao. Quaternion representations of polarizing devices[J]. Huanghuai Journal, 1993, 9(2): 23-30.
[14] [14] Ding Guangtao. A quaternion representation of polarization optics[J]. Journal of Anhui Normal University (Natural Science), 1993, 16(1): 31-38.
[15] [15] Wang Haixia, Ding Chaoliang, Zhang Yongtao, et al.. Polarization properties of spatially and spectrally partially coherent electromagnetic Hermite-Gaussian pulsed beams[J]. Acta Optica Sinica, 2011, 31(3): 0326001.
[16] [16] Leng Mei, Yang Yanfang, He Ying, et al.. Effect actors of the focal shift in spatial-variant polarized vector beams [J]. Acta Optica Sinica, 2012, 32(5): 0526001.
[17] [17] Chang Qiang, Yang Yanfang, He Ying, et al.. Focusing features of concentric three-ring non-uniform mixing polarization vector beams [J]. Acta Optica Sinica, 2012, 32(6): 0626001.
Get Citation
Copy Citation Text
Ding Guangtao. Quaternion Method in Polarization Optics[J]. Acta Optica Sinica, 2013, 33(7): 726001
Category: Physical Optics
Received: Jan. 5, 2013
Accepted: --
Published Online: Jul. 1, 2013
The Author Email: Guangtao Ding (dgt695@sina.com)