Design and Imaging of Multi-frequency Interference System Based on T-lens Arrangement

Yu QIAO; Guixiang CHEN; Yusheng ZHAI; Gang LIU; Weiji HE; Qian CHEN

doi:10.3788/gzxb20245307.0711002

Acta Photonica Sinica, Volume. 53, Issue 7, 0711002(2024)

Design and Imaging of Multi-frequency Interference System Based on T-lens Arrangement

Yu QIAO1...2, Guixiang CHEN1,2, Yusheng ZHAI1,2,*, Gang LIU3, Weiji HE1,2, and Qian CHEN12 |Show fewer author(s)

¹Advanced Interdisciplinary Research Center for Optics， Nanjing University of Science and Technology， Nanjing 210094， China

²College of Electronic Engineering and Optoelectronic Technology ， Nanjing University of Science and Technology， Nanjing 210094， China

³Xi'an Institute of Optical Precision Machinery， Chinese Academy of Sciences， Xi'an 710119， China

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Figures & Tables(9)

Fig. 1. Imaging model and system design

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Fig. 2. Spectrogram of the 2D grating. The blue color in the figure shows the spectrum points that can be captured by the system， and the red color shows the spectrum points that cannot be captured

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Fig. 3. Simulated reconstructed 2D raster image

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Fig. 4. Imaging system diagram

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Fig. 5. E-C lens pair interferograms

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Fig. 6. Comparison of reconstructed images

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Table 1. Lens pair test data

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Table 1. Lens pair test data

Lens pair	Corresponding baseline length/cm	$P_{1} / μ W$	$P_{2} / μ W$	$I_{1} / μ W$	$I_{2} / μ W$
F-B	12.4	3.20	2.00	3.22	1.65
F-C	12.4	3.26	2.12	1.22	3.82
F-E	6.2	3.27	1.79	1.99	2.80
F-G	6.2	3.30	1.95	1.34	3.56
E-B	13.9	2.62	1.97	3.42	0.89
G-B	13.9	2.86	1.96	4.15	0.37
E-C	13.9	2.59	2.09	4.09	0.32
G-C	13.9	2.82	2.08	3.34	1.25
F-A	40.1	3.39	0.15	2.21	1.11
F-D	40.1	3.43	0.15	1.23	2.12

Table 2. Coordinates of space frequency points

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Table 2. Coordinates of space frequency points

Lens pair	Corresponding baseline length/cm	Corresponding frequency domain points
Lens pair	Corresponding baseline length/cm	X	Y
F-F	0	577	577
F-B	12.4	433	577
F-C	12.4	721	577
F-E	6.2	577	865
F-G	6.2	577	289
E-B	13.9	433	289
G-B	13.9	433	865
E-C	13.9	721	865
G-C	13.9	721	289
F-A	40.1	145	577
F-D	40.1	1 009	577

Table 3. Calculation of lens pair data

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Table 3. Calculation of lens pair data

Lens pair	$ρ_{l o s s}$	$P_{1 c o h} / μ W$	$P_{2 c o h} / μ W$	$I_{1 c o h} / μ W$	$I_{2 c o h} / μ W$	$\frac{1}{2} A_{1} A_{2} / μ W$	$Δ φ / (°)$
F-F	0.06	—	—	—	—	3.3	0
F-B	0.07	2.60	1.63	2.91	1.33	2.06	67.50
F-C	0.06	2.66	1.73	0.90	3.49	2.14	127.25
F-E	0.05	2.69	1.47	1.67	2.49	1.99	101.81
F-G	0.06	2.68	1.59	1.03	3.24	2.06	122.52
E-B	0.06	2.14	1.61	3.14	0.61	1.86	46.92
G-B	0.06	2.33	1.60	3.85	0.07	1.93	11.41
E-C	0.06	2.12	1.72	3.81	0.03	1.91	7.87
G-C	0.06	2.30	1.69	3.04	0.96	1.97	58.19
F-A	0.06	2.77	0.12	2.00	0.89	0.58	16.62
F-D	0.06	2.80	0.12	1.02	1.90	0.58	140.31

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Yu QIAO, Guixiang CHEN, Yusheng ZHAI, Gang LIU, Weiji HE, Qian CHEN. Design and Imaging of Multi-frequency Interference System Based on T-lens Arrangement[J]. Acta Photonica Sinica, 2024, 53(7): 0711002

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