Evolution of spin density vectors in a strongly focused composite field

Xiaoyan Pang; Chen Feng; Xinying Zhao

doi:doi:10.3788/COL202119.022601

Chinese Optics Letters, 2021, 19 (2): 022601, Published Online: Jan. 4, 2021

Evolution of spin density vectors in a strongly focused composite field Download： 660次

Xiaoyan Pang ^1,*Chen Feng ¹Xinying Zhao ^2,**

Author Affiliations

¹ School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, China

² School of Physics & Information Technology, Shaanxi Normal University, Xi’an 710061, China

Figures & Tables

Fig. 1. Intensity and phase distribution of the incident field at the waist plane. (a) Intensity, (b) phase. Here, A $=$ B.

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Fig. 2. Schematic illustration of a strongly focusing system. The origin O of the coordinate system is taken at the geometrical focus.

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Fig. 3. Gouy phase difference $δ$ _xz on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ .

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Fig. 4. SDVs on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ , (d) SDVs near a SDV singularity in (b).

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Fig. 5. Gouy phase differences $δ$ _zy and $δ$ _yx on the y_s axis: $α = 60 °$ .

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Fig. 6. SDVs on the y_s axis. (a) and (b) are the same figure from different views: $α = 60 °$ .

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Fig. 7. (a) tSDVs and (b) transverse SDs on the focal plane.

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Fig. 8. tSDVs on selected transverse planes.

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Fig. 9. Rotation angles of two maxima points of the transverse SD on the transverse planes from z_s $= - 10 λ$ to z_s $= + 10 λ$ .

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Xiaoyan Pang, Chen Feng, Xinying Zhao. Evolution of spin density vectors in a strongly focused composite field[J]. Chinese Optics Letters, 2021, 19(2): 022601.

Evolution of spin density vectors in a strongly focused composite field Download： 660次

Fig. 1. Intensity and phase distribution of the incident field at the waist plane. (a) Intensity, (b) phase. Here, A $=$ B.

Fig. 2. Schematic illustration of a strongly focusing system. The origin O of the coordinate system is taken at the geometrical focus.

Fig. 3. Gouy phase difference $δ$ _xz on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ .

Fig. 4. SDVs on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ , (d) SDVs near a SDV singularity in (b).

Fig. 5. Gouy phase differences $δ$ _zy and $δ$ _yx on the y_s axis: $α = 60 °$ .

Fig. 6. SDVs on the y_s axis. (a) and (b) are the same figure from different views: $α = 60 °$ .

Fig. 7. (a) tSDVs and (b) transverse SDs on the focal plane.

Fig. 8. tSDVs on selected transverse planes.

Fig. 9. Rotation angles of two maxima points of the transverse SD on the transverse planes from z_s $= - 10 λ$ to z_s $= + 10 λ$ .

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Evolution of spin density vectors in a strongly focused composite field Download： 660次

Fig. 1. Intensity and phase distribution of the incident field at the waist plane. (a) Intensity, (b) phase. Here, A=B.

Fig. 2. Schematic illustration of a strongly focusing system. The origin O of the coordinate system is taken at the geometrical focus.

Fig. 3. Gouy phase difference δxz on the propagation axis with different semi-aperture angles. (a) α=50°, (b) α=55°, (c) α=60°.

Fig. 4. SDVs on the propagation axis with different semi-aperture angles. (a) α=50°, (b) α=55°, (c) α=60°, (d) SDVs near a SDV singularity in (b).

Fig. 5. Gouy phase differences δzy and δyx on the ys axis: α=60°.

Fig. 6. SDVs on the ys axis. (a) and (b) are the same figure from different views: α=60°.

Fig. 7. (a) tSDVs and (b) transverse SDs on the focal plane.

Fig. 8. tSDVs on selected transverse planes.

Fig. 9. Rotation angles of two maxima points of the transverse SD on the transverse planes from zs=−10λ to zs=+10λ.

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Fig. 1. Intensity and phase distribution of the incident field at the waist plane. (a) Intensity, (b) phase. Here, A $=$ B.

Fig. 3. Gouy phase difference $δ$ _xz on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ .

Fig. 4. SDVs on the propagation axis with different semi-aperture angles. (a) $α = 50 °$ , (b) $α = 55 °$ , (c) $α = 60 °$ , (d) SDVs near a SDV singularity in (b).

Fig. 5. Gouy phase differences $δ$ _zy and $δ$ _yx on the y_s axis: $α = 60 °$ .

Fig. 6. SDVs on the y_s axis. (a) and (b) are the same figure from different views: $α = 60 °$ .

Fig. 9. Rotation angles of two maxima points of the transverse SD on the transverse planes from z_s $= - 10 λ$ to z_s $= + 10 λ$ .