Scanning Characteristics of Fiber-Optic Interferometric Phased Array Based on Phase Modulation

Yuanzhong Ren; Jinhua Chai

doi:10.3788/LOP56.152502

Journals >Laser & Optoelectronics Progress >Volume 56 >Issue 15 >Page 152502 > Article

Laser & Optoelectronics Progress
Vol. 56, Issue 15, 152502 (2019)

Scanning Characteristics of Fiber-Optic Interferometric Phased Array Based on Phase Modulation

Yuanzhong Ren¹ and Jinhua Chai^2,*

Author Affiliations

¹ Graduate Student Brigade, PLA Army Academy of Artillery and Air Defense, Hefei, Anhui 230031, China

² Electronic Engineering Teaching and Research Section, PLA Army Academy of Artillery and Air Defense, Hefei, Anhui 230031, China

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DOI: 10.3788/LOP56.152502 Cite this Article Set citation alerts

Yuanzhong Ren, Jinhua Chai. Scanning Characteristics of Fiber-Optic Interferometric Phased Array Based on Phase Modulation[J]. Laser & Optoelectronics Progress, 2019, 56(15): 152502 Copy Citation Text

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Fig. 1. Scanning control schematic of N-beam fiber-optic interferometric phased array

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Fig. 2. Charging scheme of phase modulator. (a) Traditional charging scheme; (b) [-π, π] charging scheme

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Fig. 3. Light intensity jitter under different modulation coefficients ψ0. (a) ψ0=0.3; (b) ψ0=0.1; (c) ψ0=0.5; (d) ψ0=1

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Fig. 4. Relationship between different modulation coefficients ψ0 and maximum jitters of light intensityat V=0. (a) N=8; (b) N=50

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Beams of N	Voltage of traditionalcharging scheme(N-1)ΔV /V	Voltage of 2πcharging schemeΔV /V	Voltage of [-π,π]charging schemeΔV' /V	Value of m
1	0	0	-3.24	0
2	52.26	0.42	-2.82	8
3	104.52	0.84	-2.40	16
4	156.77	1.25	-1.99	24
5	261.30	1.67	-1.57	32
6	313.55	2.09	-1.14	40
7	365.81	2.51	-0.73	48
8	418.06	2.93	-0.31	56
9	470.32	3.34	0.10	64
10	522.58	3.76	0.52	72
11	574.84	4.18	0.94	80
12	627.10	4.60	1.34	88
13	679.36	5.01	1.77	96
14	731.61	5.43	2.19	104
15	783.87	5.85	2.61	112
16	836.13	6.27	3.03	120
17	888.39	0.21	-3.03	129
︙	︙	︙	︙	︙
N	(N-1)ΔV	(n-1)ΔV%2V_π	(n-1)ΔV%2V_π-V_π	[ΔV_n/2V_π]

Table 1. Comparison of three charging schemes

d₁ /μm	θ_max /mrad
d₁ /μm	l/d =100	l/d =500	l/d =1000	l/d =2000	l/d =3000	l/d =5000
125	2.05	10.3	20.5	41.0	61.4	102
250	1.03	5.13	10.3	20.5	30.7	51.2
500	0.512	2.56	5.12	10.3	15.4	25.6
1000	0.256	1.28	2.56	5.12	7.69	12.8

Table 2. Scanning angles for different l/d and d1

ψ₀	θ'_max /mrad (all beams load modulation signals)
ψ₀	N=2 (only one loading signal)	N=2	N=3	N=4	N=8	N=50
0.05	0.197	0.15	0.089	0.064	0.031	0.00491
0.1	0.394	0.3	0.18	0.129	0.062	0.00983
0.2	0.789	0.6	0.36	0.258	0.124	0.0197
0.3	1.18	0.91	0.53	0.387	0.186	0.0295
0.4	1.58	1.21	0.7	0.516	0.248	0.0393
0.5	1.97	1.52	0.88	0.64	0.31	0.0491
π/4	3.1	2.39	1.38	1.01	0.488	0.0772
1	3.95	3.04	1.77	1.29	0.621	0.0983
π/2	6.2	4.77	2.8	2.02	0.975	0.154
π	7.9	9.55	5.6	4.05	1.95	0.309

Table 3. Relationship between ψ0 and θ'max

ψ₀	p (all beams load modulation signals)
ψ₀	N=2 (only one loading signal)	N=2	N=3	N=4	N=8	N=50
0.05	62.8	41.33	69.66	96.87	199.99	1262.67
0.1	31.4	20.67	34.44	48.06	100.00	630.69
0.2	15.7	10.33	17.22	24.03	50.00	314.71
0.3	10.5	6.81	11.70	16.02	33.33	210.16
0.4	7.8	5.12	8.86	12.01	25.00	157.75
0.5	6.28	4.08	7.05	9.69	20.00	126.27
π/4	4	2.59	4.49	6.14	12.70	80.31
1	3.1	2.04	3.50	4.81	9.98	63.07
π/2	2	1.30	2.21	3.07	6.36	40.26
π	1	0.65	1.11	1.53	3.18	20.06

Table 4. Resolutions corresponding to different ψ0 and N

Yuanzhong Ren, Jinhua Chai. Scanning Characteristics of Fiber-Optic Interferometric Phased Array Based on Phase Modulation[J]. Laser & Optoelectronics Progress, 2019, 56(15): 152502

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