Investigation of Polarization State Generation with Ergodicity of Polarization States Based on the Quaternion Approach

Lanlan, 刘岚岚 Liu; Chongqing, 吴重庆 Wu; Zhengyong, 李政勇 Li

doi:10.3788/aos201434.0306002

Cited by 3 publications

(2 citation statements)

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“…In 2013, a literature proposed the quaternion can be used to analyze the SOP [17]. Furthermore, the quaternion methods to describe the SOP of light and the polarized optical components and systems were theoretically derived based on Poincaré sphere and quaternion representations [18].…”

Section: Introductionmentioning

confidence: 99%

Quaternion Approach to the Measurement of the Local Birefringence Distribution in Optical Fibers

Liu

Chen

et al. 2015

IEEE Photonics J.

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A method to structure the Jones quaternion utilizing Pauli matrices is proposed, improving the quaternion theory of polarization optics. It is proved that the Stokes quaternion is the double product of the Jones quaternion and its Hermitian transpose and that the rotation axis of the output three-adjacent-point Stokes quaternions is a mapping from the rotation axis of the three-adjacent-reflection-point Stokes quaternions in the optical fiber and that the rotation angle among the output three adjacent points is the doubleness of the rotation angle among the three adjacent reflection points in the optical fiber. The three-point quaternion method to measure birefringence distribution is proposed and implemented, the experimental result shows that the average birefringence is 0.263/m in the fiber under test, and the corresponding average beat length is 26 m. We also demonstrated the paraxial approximate quaternion Baker-Campbell-Hausdorff formula of exponential quaternions multiplying for cascaded optical components; then, a quaternion interpolation method to estimate the error of birefringence measurement is proposed, and the relative error calculated was less than 5%. The previously cited works indicate that the quaternion algorithm is very effective in the research of the polarization in optical fibers.

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Section: Introductionmentioning

confidence: 99%

Quaternion Approach to the Measurement of the Local Birefringence Distribution in Optical Fibers

Liu

Chen

et al. 2015

IEEE Photonics J.

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“…[17] Furthermore, the quaternion methods to describe the SOP of light and the polarized optical compo-nents were theoretically derived based on the Poincaré sphere. [18] Recently, Liu et al improved the theory of quaternion polarization optics, [19] and the corresponding quaternion had been derived to describe the Jones vector. They proved that Stokes quaternion is double product of Jones quaternion and its Hermitian transpose, and proposed a three-point quaternion method to measure birefringence distribution in optical fibers and the paraxial approximate Baker-Campbell-Hausdorff formula to estimate the measurement error.…”

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confidence: 99%

Quaternion Approach to Solve Coupled Nonlinear Schrödinger Equation and Crosstalk of Quarter-Phase-Shift-Key Signals in Polarization Multiplexing Systems

Liu

Chen

et al. 2015

Chinese Phys. Lett.

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The quaternion approach to solve the coupled nonlinear Schrödinger equations (CNSEs) in fibers is proposed, converting the CNSEs to a single variable equation by using a conception of eigen-quaternion of coupled quaternion. The crosstalk of quarter-phase-shift-key signals caused by fiber nonlinearity in polarization multiplexing systems with 100 Gbps bit-rate is investigated and simulated. The results demonstrate that the crosstalk is like a rotated ghosting of input constellation. For the 50 km conventional fiber link, when the total power is less than 4 mW, the crosstalk effect can be neglected; when the power is larger than 20 mW, the crosstalk is very obvious. In addition, the crosstalk can not be detected according to the output eye diagram and state of polarization in Poincaré sphere in the trunk fiber, making it difficult for the monitoring of optical trunk link.

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Quaternion approach to study of the polarization maintaining optical fibers

Zhang

Huang

2016

2016 15th International Conference on Optical Communications and Networks (ICOCN)

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Investigation of Polarization State Generation with Ergodicity of Polarization States Based on the Quaternion Approach

Cited by 3 publications

References 0 publications

Quaternion Approach to the Measurement of the Local Birefringence Distribution in Optical Fibers

Quaternion Approach to the Measurement of the Local Birefringence Distribution in Optical Fibers

Quaternion Approach to Solve Coupled Nonlinear Schrödinger Equation and Crosstalk of Quarter-Phase-Shift-Key Signals in Polarization Multiplexing Systems

Quaternion approach to study of the polarization maintaining optical fibers

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