Influence of Beam Polarization on Contrast of Self-Referencing Interference Signal

Mengnan Xu; Zengxiong Lu; Yuejing Qi; Jing Li; Jing Ma

doi:10.3788/LOP202259.2326002

Journals >Laser & Optoelectronics Progress >Volume 58 >Issue 23 >Page 2326002 > Article

Laser & Optoelectronics Progress
Vol. 58, Issue 23, 2326002 (2021)

Influence of Beam Polarization on Contrast of Self-Referencing Interference Signal

Mengnan Xu^1、2, Zengxiong Lu^1、2、***, Yuejing Qi^1、2、**, Jing Li^1、2、*, and Jing Ma¹

Author Affiliations

¹Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, China

²University of Chinese Academy of Sciences, Beijing 100094, China

show less

DOI: 10.3788/LOP202259.2326002 Cite this Article Set citation alerts

Mengnan Xu, Zengxiong Lu, Yuejing Qi, Jing Li, Jing Ma. Influence of Beam Polarization on Contrast of Self-Referencing Interference Signal[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2326002 Copy Citation Text

show less

Optical path of the phase grating position measurement system. (a) Optical path of the phase grating position measurement system; (b) top view of prism P1; (c) side view of prism P2

Fig. 1. Optical path of the phase grating position measurement system. (a) Optical path of the phase grating position measurement system; (b) top view of prism P₁; (c) side view of prism P₂

Download full size

Fig. 2. Schematic diagram of light vector relationship between two adjacent reflecting surfaces in space

Download full size

Fig. 3. Interference signals at different positions of the phase grating (simulation experiment). (a) Δy=-8 μm & 0 μm; (b) Δy=-7.2 μm &-0.8 μm; (c) Δy=-6.4 μm & -1.6 μm; (d) Δy=-5.6 μm & -2.4 μm; (e) Δy=-4.8 μm & -3.2 μm; (f) Δy=-4 μm

Download full size

Fig. 4. Normalized interference signal on detector D under ideal conditions

Download full size

Fig. 5. Influence of S₀ extinction ratio on the interference signal contrast and peak intensity. (a) Signal contrast; (b) peak intensity

Download full size

Fig. 6. Influence of PBS extinction ratio on interference signal contrast and peak intensity. (a) Signal contrast; (b) peak intensity

Download full size

Fig. 7. Influence of the polarization state of the incident light on the contrast of the interference signal. (a) Relationship between the ellipticity and ellipse angle of the incident light and the contrast of the interference signal; (b) partial enlargement

Download full size

Fig. 8. Relationship between the contrast of the interference signal and the phase difference

Download full size

Fig. 9. Polarization value range of incident light with interference signal contrast greater than 0.98 under different optical path differences

Download full size

$G_{S_{0}}$	$G_{S_{12}}$ ， $G_{S_{21}}$	$G_{S_{13}}$ ， $G_{S_{22}}$	$G_{S_{14}}$ ， $G_{S_{23}}$
$\frac{1}{\sqrt[]{2}} [\begin{matrix} \begin{matrix} 1 \end{matrix} & \begin{matrix} - 1 \end{matrix} \\ \begin{matrix} 1 \end{matrix} & \begin{matrix} 1 \end{matrix} \end{matrix}]$	$\frac{1}{\sqrt[]{2}} [\begin{matrix} \begin{matrix} - 1 \end{matrix} & \begin{matrix} - 1 \end{matrix} \\ \begin{matrix} 1 \end{matrix} & \begin{matrix} - 1 \end{matrix} \end{matrix}]$	$[\begin{matrix} \begin{matrix} 0 \end{matrix} & \begin{matrix} 1 \end{matrix} \\ \begin{matrix} - 1 \end{matrix} & \begin{matrix} 0 \end{matrix} \end{matrix}]$	$[\begin{matrix} \begin{matrix} 0 \end{matrix} & \begin{matrix} - 1 \end{matrix} \\ \begin{matrix} 1 \end{matrix} & \begin{matrix} 0 \end{matrix} \end{matrix}]$

Table 1. Rotation matrix between the reflective surfaces in prisms P₁ and P₂

Serial number	Polarization state of incident light		Optical path difference	Extinction ratio		Interference signal contrast
Serial number	$ψ$ /rad	$t a n ε$	OPD /nm	$τ_{S_{0}}$	$τ_{P B S}$	$V_{e}$	$V$
1	0.7854	0	0	1000	1000	1	1
2	0.7854	1	0	1000	1000	0	0
3	0.7156	0.40	20	99	399	0.4387	0.4303
4	2.356	0.63	30	99	399	0.5735	0.5830
5	0.6997	0.10	15.38	1000	1000	0.9071	0.9045
6	0.8330	0.09	5.12	1000	1000	0.9874	0.9875
7	0.7759	0.09	5.12	1000	1000	0.9923	0.9924

Table 2. Contrast of interference signal between simulation experiment and theoretical model under different parameters

Mengnan Xu, Zengxiong Lu, Yuejing Qi, Jing Li, Jing Ma. Influence of Beam Polarization on Contrast of Self-Referencing Interference Signal[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2326002

Download Citation

Set citation alerts for the article

Tools

Set citation alerts for the article

Save the article for my favorites

Paper Information