Acta Optica Sinica, Volume. 33, Issue 7, 726001(2013)

Quaternion Method in Polarization Optics

Ding Guangtao*
Author Affiliations
  • [in Chinese]
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    References(17)

    [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.

    CLP Journals

    [1] Lü Shu, Zhang Yahui, Bao Qiliang, Chen Hongbin. Despinning Scheme of Shipboard Electro-Optical Tracking System[J]. Laser & Optoelectronics Progress, 2014, 51(4): 42303

    [2] Liu Lanlan, Wu Chongqing, Li Zhengyong. Investigation of Polarization State Generation with Ergodicity of Polarization States Based on the Quaternion Approach[J]. Acta Optica Sinica, 2014, 34(3): 306002

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    Ding Guangtao. Quaternion Method in Polarization Optics[J]. Acta Optica Sinica, 2013, 33(7): 726001

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    Paper Information

    Category: Physical Optics

    Received: Jan. 5, 2013

    Accepted: --

    Published Online: Jul. 1, 2013

    The Author Email: Guangtao Ding (dgt695@sina.com)

    DOI:10.3788/aos201333.0726001

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