Optimal illumination scheme for isotropic quantitative differential phase contrast microscopy

Yao Fan; Jiasong Sun; Qian Chen; Xiangpeng Pan; Lei Tian; Chao Zuo

doi:doi:10.1364/PRJ.7.000890

Photonics Research, 2019, 7 (8): 08000890, Published Online: Jul. 25, 2019

Optimal illumination scheme for isotropic quantitative differential phase contrast microscopy Download： 719次

Yao Fan ^1,2,3†Jiasong Sun ^1,2,3†Qian Chen ^1,2,5Xiangpeng Pan ^1,2,3Lei Tian ⁴Chao Zuo ^1,2,3,*

Author Affiliations

¹ School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

² Jiangsu Key Laboratory of Spectral Imaging & Intelligent Sense, Nanjing University of Science and Technology, Nanjing 210094, China

³ Smart Computational Imaging (SCI) Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China

⁴ Department of Electrical and Computer Engineering, Boston University, Boston, Massachusetts 02215, USA

⁵ e-mail: chenqian@njust.edu.cn

Figures & Tables

Fig. 1. Schematic diagram of the integral for PTF along the left–right axis in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

下载图片查看原文

Fig. 2. PTF and C(ρ,θ) with four illumination patterns. (a1)–(a4) Four illumination patterns. (b1)–(b4) PTFs along the left–right axis. (c1)–(c4) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black straight line under the four illumination patterns. (e1)–(e3) Quantitative curves of C(ρ,θ) under the four illumination patterns on three radii.

下载图片查看原文

Fig. 3. Simulation results with different regularization parameters under four illumination patterns. (a) Original phase image. (b) Diffraction limit phase image of DPC (2NAobj). (c1)–(c4), (d1)–(d4) Phase results with regularization parameters of 0 and 0.2. (e) Phase values along three small circles corresponding to different spatial frequencies evenly distributed from 0 to 2NAobj. (f) Phase values along a small circle of the same radius in (d1)–(d4) under four illumination patterns.

下载图片查看原文

Fig. 4. Phase reconstruction results of a phase resolution target QPTTM. (a) A bright-field image. (b) A zoom-in of the interest region of the bright-field image. (c) Phase reconstruction result under the half-circular uniform illumination pattern. (d) Phase reconstruction result under the optimal illumination scheme. (d) Phase values along three small circles evenly distributed from 0 to 2NAobj under the optimal illumination pattern. (e) Phase values along a small circle of the same radius in (c), (d) under the half-circular uniform illumination pattern and optimal illumination pattern.

下载图片查看原文

Fig. 5. Phase reconstruction results of HeLa cells under the optimal illumination scheme. (a) Full-field-of-view phase distribution. (b), (c) Phase maps of two selected zooms. (d) Phase results at different time points.

下载图片查看原文

Fig. 6. Schematic diagram of the integral for PTF along the left–right axis illumination in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

下载图片查看原文

Fig. 7. PTF and C(ρ,θ) with a different L(ρ) function. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

下载图片查看原文

Fig. 8. PTF and C(ρ,θ) with different thickness of the annulus (three σ). (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

下载图片查看原文

Fig. 9. PTF and C(ρ,θ) with a different n. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

下载图片查看原文

Fig. 10. Simulation results of the optimal illumination scheme with different aberration levels. (a1)–(f1) Pupil with different aberration levels. (a2)–(f2) Reconstruction phase. (g) Quantitative curves of the reconstruction phase.

下载图片查看原文

Yao Fan, Jiasong Sun, Qian Chen, Xiangpeng Pan, Lei Tian, Chao Zuo. Optimal illumination scheme for isotropic quantitative differential phase contrast microscopy[J]. Photonics Research, 2019, 7(8): 08000890.

Optimal illumination scheme for isotropic quantitative differential phase contrast microscopy Download： 719次

Fig. 1. Schematic diagram of the integral for PTF along the left–right axis in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

Fig. 5. Phase reconstruction results of HeLa cells under the optimal illumination scheme. (a) Full-field-of-view phase distribution. (b), (c) Phase maps of two selected zooms. (d) Phase results at different time points.

Fig. 6. Schematic diagram of the integral for PTF along the left–right axis illumination in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

Fig. 7. PTF and C(ρ,θ) with a different L(ρ) function. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 8. PTF and C(ρ,θ) with different thickness of the annulus (three σ). (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 9. PTF and C(ρ,θ) with a different n. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 10. Simulation results of the optimal illumination scheme with different aberration levels. (a1)–(f1) Pupil with different aberration levels. (a2)–(f2) Reconstruction phase. (g) Quantitative curves of the reconstruction phase.

关于本站 Cookie 的使用提示

全站搜索

Optimal illumination scheme for isotropic quantitative differential phase contrast microscopy Download： 719次

Fig. 1. Schematic diagram of the integral for PTF along the left–right axis in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

Fig. 5. Phase reconstruction results of HeLa cells under the optimal illumination scheme. (a) Full-field-of-view phase distribution. (b), (c) Phase maps of two selected zooms. (d) Phase results at different time points.

Fig. 6. Schematic diagram of the integral for PTF along the left–right axis illumination in the polar coordinate system. (a) The radius ρ of the point Q is in the range of NAobj≤ρ≤2NAobj. (b) The radius ρ of the point Q is in the range of 0≤ρ<NAobj.

Fig. 7. PTF and C(ρ,θ) with a different L(ρ) function. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 8. PTF and C(ρ,θ) with different thickness of the annulus (three σ). (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 9. PTF and C(ρ,θ) with a different n. (a1)–(a3) Illumination patterns. (b1)–(b3) PTFs along the left–right axis. (c1)–(c3) C(ρ,θ) with two-axis illumination. (d) Quantitative curves of C(ρ,θ) along the black line.

Fig. 10. Simulation results of the optimal illumination scheme with different aberration levels. (a1)–(f1) Pupil with different aberration levels. (a2)–(f2) Reconstruction phase. (g) Quantitative curves of the reconstruction phase.

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索