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采用推导的部分相干线刃型-螺旋型混合位错光束在生物组织传输中的交叉谱密度函数与矩阵, 数值模拟了人体真皮组织传输中, 无量纲参数a和线刃型位错离轴距离b对源平面光束归一化光强和相位分布的影响; 相同两点间、不同两点间光束偏振态的变化, 及其与4个光束参数(a、b、空间相关长度σxy, σyy)以及传输距离z的关系. 结果表明: 归一化光强为非轴对称分布. a绝对值越大, 主峰越圆润; b值越大, 次峰越低. 在源平面存在一个相干涡旋和一个线刃型位错; a的符号和大小会影响相位分布; b值越大, 线刃型位错离原点越远. 在源平面处, 空间相同两点的偏振度和椭圆率与光束参数选取无关, 方位角仅与b和σyy有关; 空间不同两点的偏振态参量都只与σxy和σyy有关. 在足够远处, 偏振态各自趋于一定值. 传输中, a的绝对值一定正负不影响偏振态的大小; 随着b增大, 偏振态曲线极值次数减小, 突变的次数增加; σxy取值不同时, 相同两点偏振态变化的差异主要集中在极值附近, 不同两点偏振态变化的差异主要集中在初值和极值附近; |σxx－σyy|大小引起了偏振态变化规律的多样性.
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关键词:
- 线刃型-螺旋型混合位错光束 /
- 生物组织 /
- 交叉谱密度 /
- 偏振态
Objective The optical information change of beams acting on biological tissue can get an insight into the new optical effects of tissue, and even can provide a theoretical basis for developing biphotonic medical diagnosis and therapy technologies. Polarization technology is also widely used in the field of biological detection due to its advantages of non-contact, rich information and without staining markers. In this work, the polarization behaviors of partially coherent screw-linear edge mixed dislocation beam transmitting in biological tissue are analyzed and explored. Simultaneously, in order to more clearly and more intuitively understand a mixed dislocation beam, both the normalized intensities and phase distributions at source plane for different parameters a and b are also discussed. We hope that the obtained results will provide theoretical and experimental foundation for expanding the application of singularity beams in biological tissue imaging technology. Method By combining the Schell term with the field distribution of the screw-linear edge mixed dislocation beam at the source plane, and based on the generalized Huygens-Fresnel principle, the analytical expressions of the cross-spectral density matrix elements of partially coherent screw-linear edge dislocation beam propagating in biological tissues are derived. Adopting the unified theory of coherence and polarization, the polarization behaviors of the beams can be investigated in detail. Results At the source plane, the intensity has a non axisymmetric distribution, and there exists a coherent vortex with a topological charge size of 1 and a linear edge dislocation. The sign of a is related to the rotation direction of the phase singularity. The larger the value of b, the farther the linear edge dislocation is from the origin. At the source plane, the degree of polarization and ellipticity between the two identical points are independent of the four parameters: dimensionless parameter a, off-axis distance of edge dislocation b, spatial self-correlation length σyy, and spatial mutual-correlation length σxy, the orientation angle is only independent of a and σxy; the polarization of two different points is independent of a and b, but is related to σyy and σxy. In transmission, the polarization degrees and ellipticity of two different points fluctuate greatly and the orientation angle displays less fluctuation. Finally, all the polarization state parameters tend to be their corresponding values, respectively. Conclusions The results show that when b is smaller, the linear edge dislocation is paraxial and plays an important role in the polarization state change; when b is larger, the polarization state changes of the screw-linear edge mixed dislocation beam will tend to be the pattern of spiral beams. The absolute value of the difference between σyy and σxy is also one of main factors influencing the polarization state. The sign of a does not affect the change in polarization state, but its magnitude can influe the change of speed. Due to more complex factors determining the correlation fluctuations between different points in the light field, the changes of two different points are more sensitive than those of the two identical points in shallow biological tissue. Beams with different parameters can be selected for different application requirements. -
Keywords:
- mixed screw-linear edge dislocation beam /
- biological tissue /
- cross-spectral density /
- polarization state
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图 1 a不同时归一化光强分布 (a) a = –1; (b) a = 1; (c) a = 2; (d) a = 5
Fig. 1. Normalized light intensity distribution for different a values: (a) a = –1; (b) a = 1; (c) a = 2; (d) a = 5.
图 2 b不同时归一化光强分布 (a) b = 0.2 μm; (b) b = 0.3 μm; (c) b = 1 μm; (d) b = 3 μm
Fig. 2. Normalized light intensity distribution for different b values: (a) b = 0.2 μm; (b) b = 0.3 μm; (c) b = 1 μm; (d) b = 3 μm.
图 3 a不同时相位分布 (a) a = –1; (b) a = 1; (c) a = 2; (d) a = 5
Fig. 3. Phase distribution for different a values: (a) a = –1; (b) a = 1; (c) a = 2; (d) a = 5.
图 4 b不同时相位分布 (a) b = 0.2 μm; (b) b = 0.3 μm; (c) b = 1 μm; (d) b = 3 μm
Fig. 4. Phase distribution for different b values: (a) b = 0.2 μm; (b) b = 0.3 μm; (c) b = 1 μm; (d) b = 3 μm.
图 5 a不同时偏振度随z的变化 (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z)
Fig. 5. Variation of polarization degree with z for different a: (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z).
图 7 a不同时椭圆率随z的变化 (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z)
Fig. 7. Variation of ellipticity with z when a is different: (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z).
图 6 a不同时方位角随z的变化 (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z)
Fig. 6. Variation of orientation angle with z for different a: (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z).
图 8 b不同时偏振度随z的变化 (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z)
Fig. 8. Variation of polarization degree with z for different b: (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z).
图 10 b不同时椭圆率ε随z的变化 (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z)
Fig. 10. Variation of ellipticity with z for different b: (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z).
图 9 b不同时方位角随z的变化 (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z)
Fig. 9. Variation of orientation angle with z for different b: (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z).
图 11 σxy不同时偏振度随z的变化 (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z)
Fig. 11. Polarization degree vs. z for different σxy: (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z).
图 13 σxy不同时椭圆率随z的变化 (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z)
Fig. 13. Ellipticity vs. z for different σxy: (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z).
图 12 σxy不同时方位角随z的变化 (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z)
Fig. 12. Orientation angle vs. z for different σxy: (a) θ(ρ, ρ, z); (b) θ(ρ, –ρ, z).
图 14 σyy不同时偏振度随z的变化 (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z)
Fig. 14. Polarization degree vs. z for different σyy: (a) P(ρ, ρ, z); (b) P(ρ, –ρ, z).
图 16 σyy不同时椭圆率随z的变化 (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z)
Fig. 16. Ellipticity vs. z for different σyy: (a) ε(ρ, ρ, z); (b) ε(ρ, –ρ, z).
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