Operating Characteristics of Photonic Crystal Filters Based on Micro Resonators

Fig. 1. Influence of different ratios of Q2/Q1 and values of phase detuning factor (ω-ω0)2τ22 on normalized reflectivity. (a) Q2/Q1=0.2; (b) Q2/Q1=0.5; (c) Q2/Q1=1; (d) Q2/Q1=10; (e) Q2/Q1=200; (f) Q2/Q1=600

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Fig. 2. Influence of different ratios of Q2/Q1 and values of phase detuning factor (ω-ω0)2τ22 on normalized loss ratio. (a) Q2/Q1=0.1; (b) Q2/Q1=0.5; (c) Q2/Q1=1; (d) Q2/Q1=10; (e) Q2/Q1=200; (f) Q2/Q1=600

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Fig. 3. Influence of different ratios of Q2/Q1 and values of phase detuning factor (ω-ω0)2τ22 on normalized transmission. (a) Q2/Q1=0.2; (b) Q2/Q1=0.5; (c) Q2/Q1=1; (d) Q2/Q1=2; (e) Q2/Q1=5; (f) Q2/Q1=10

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Fig. 4. Structures of photonic crystal filters based on two types of micro resonators. (a)(c)(e)(g) resonator 1 with an air cavity; (b)(d)(f)(h) resonator 2 with a rod cavity

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Fig. 5. Normalized transmission spectra of photonic crystal filters. (a) Filter Ⅰ; (b) filter Ⅱ; (c) filter Ⅲ; (d) filter Ⅳ

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Table 1. Optical parameters of filter Ⅰ

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Table 1. Optical parameters of filter Ⅰ

Micro resonator 1					Micro resonator 2
Solid line	r_i	λ	Δλ	T /%	Dot line	r_i	λ	Δλ	T /%
1	0.140a	1309.0	1.7	35.7	17	0.140a	1459.5	3.4	90.3
2	0.145a	1314.5	1.7	43.1	18	0.145a	1467.4	3.2	93.4
3	0.150a	1327.2	1.6	62.9	19	0.150a	1484.5	2.8	97.0
4	0.155a	1338.5	1.5	79.0	20	0.155a	1499.6	2.1	97.7
5	0.160a	1347.0	1.6	85.9	21	0.160a	1510.1	1.8	91.0
6	0.165a	1354.8	1.6	87.9	22	0.165a	1519.6	1.6	87.3
7	0.170a	1362.2	1.6	86.5	23	0.170a	1527.9	1.6	85.1
8	0.175a	1364.2	1.6	86.4	24	0.175a	1529.8	1.5	80.2
9	0.180a	1376.3	1.6	81.4	25	0.180a	1542.6	1.5	54.8
10	0.182a	1383.1	1.7	79.0	26	0.182a	1549.5	1.5	42.6
11	0.190a	1389.8	1.8	77.3	27	0.190a	1555.9	1.5	32.5
12	0.195a	1396.5	1.5	77.4	28	0.195a	1561.8	1.5	24.5
13	0.200a	1404.8	2.1	78.8	29	0.200a	1568.9	1.5	16.5
14	0.205a	1420.3	2.7	84.4
15	0.210a	1427.5	3.2	88.2
16	0.215a	1438.7	3.8	93.6

Table 2. Optical parameters of filter Ⅱ

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Table 2. Optical parameters of filter Ⅱ

Micro resonator 1					Micro resonator 2
Solid line	r_i	λ	Δλ	T /%	Dot line	r_i	λ	Δλ	T /%
1	0.140a	1309.9	3.6	99.0	16	0.140a	1459.2	4.4	99.5
2	0.145a	1315.5	3.2	98.7	17	0.145a	1467.1	4.5	99.1
3	0.150a	1328.0	2.5	99.5	18	0.150a	1485.0	4.0	99.3
4	0.155a	1339.3	2.3	99.0	19	0.155a	1500.2	3.1	99.2
5	0.160a	1347.6	2.2	99.0	20	0.160a	1510.6	2.5	97.9
6	0.165a	1355.6	2.2	99.4	21	0.165a	1520.1	2.1	99.4
7	0.170a	1363.1	2.4	99.7	21	0.170a	1528.7	2.0	99.2
8	0.175a	1364.8	2.4	99.4	23	0.175a	1530.6	2.0	98.9
9	0.180a	1377.0	2.8	95.9	24	0.180a	1543.4	2.0	97.4
10	0.182a	1384.0	2.9	94.3	25	0.182a	1550.3	2.0	94.5
11	0.190a	1390.9	3.0	92.9	26	0.190a	1556.7	2.1	92.1
12	0.195a	1397.8	3.1	91.7	27	0.195a	1562.9	2.2	91.9
13	0.200a	1406.2	3.0	91.2	28	0.200a	1570.0	2.2	90.6
14	0.205a	1421.9	2.9	92.5	29	0.205a	1582.3	2.1	85.3
15	0.210a	1429.2	2.9	94.3

Table 3. Optical parameters of filter Ⅲ

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Table 3. Optical parameters of filter Ⅲ

Micro resonator 1					Micro resonator 2
Solid line	r_i	λ	Δλ	T /%	Dot line	r_i	λ	Δλ	T /%
1	0.140a	1309.9	2.9	99.8	16	0.140a	1459.2	4.3	96.9
2	0.145a	1315.5	2.7	99.9	17	0.145a	1467.1	4.4	98.3
3	0.150a	1328.0	2.4	99.6	18	0.150a	1485.0	4.1	99.6
4	0.155a	1339.2	2.3	98.2	19	0.155a	1500.2	3.3	98.1
5	0.160a	1347.6	2.4	97.0	20	0.160a	1510.9	3.6	95.9
6	0.165a	1355.4	2.5	95.0	21	0.165a	1520.4	2.2	99.2
7	0.170a	1363.1	2.6	94.0	21	0.170a	1528.7	1.9	96.4
8	0.175a	1364.8	2.7	97.2	23	0.175a	1530.6	1.9	95.4
9	0.180a	1377.1	2.9	95.2	24	0.180a	1543.4	1.8	95.3
10	0.182a	1384.0	3.0	94.3	25	0.182a	1550.3	1.8	94.1
11	0.190a	1391.1	2.9	92.4	26	0.190a	1556.7	1.8	93.3
12	0.195a	1397.8	2.9	94.9	27	0.195a	1562.6	1.9	92.2
13	0.200a	1406.2	2.8	94.3	28	0.200a	1569.7	2.1	91.6
14	0.205a	1421.9	2.8	96.8
15	0.210a	1429.2	2.8	97.5

Table 4. Optical parameters of filter Ⅳ

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Table 4. Optical parameters of filter Ⅳ

Micro resonator 1					Micro resonator 2
Solid line	r_i	λ	Δλ	T /%	Dot line	r_i	λ	Δλ	T /%
1	0.140a	1308.0	3.6	97.9	16	0.140a	1459.2	3.4	97.0
2	0.145a	1313.5	3.8	99.3	17	0.145a	1467.1	3.6	98.9
3	0.150a	1326.6	3.9	99.6	18	0.150a	1484.2	4.6	99.0
4	0.155a	1338.3	3.6	99.4	19	0.155a	1500.0	5.4	99.4
5	0.160a	1346.8	3.2	99.6	20	0.160a	1510.4	5.4	98.7
6	0.165a	1354.8	2.9	97.7	21	0.165a	1520.2	5.0	98.6
7	0.170a	1362.2	2.6	98.7	21	0.170a	1528.7	4.4	97.9
8	0.175a	1364.0	2.6	98.2	23	0.175a	1530.6	4.3	97.3
9	0.180a	1376.0	2.4	98.2	24	0.180a	1543.4	3.7	94.2
10	0.182a	1382.7	2.5	96.4	25	0.182a	1550.1	3.6	99.9
11	0.190a	1389.3	2.6	95.1	26	0.190a	1556.5	3.6	97.5
12	0.195a	1396.0	2.9	93.8	27	0.195a	1562.4	3.8	94.9
13	0.200a	1404.2	3.4	93.7	28	0.200a	1569.4	4.2	91.5
14	0.205a	1420.0	4.9	94.6	29	0.205a	1581.7	5.2	88.1
15	0.210a	1426.8	5.6	95.5

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Liheng Wu, Minghong Wang. Operating Characteristics of Photonic Crystal Filters Based on Micro Resonators[J]. Laser & Optoelectronics Progress, 2018, 55(2): 021301

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Paper Information

Category: Integrated Optics

Received: Jun. 12, 2017

Accepted: --

Published Online: Sep. 10, 2018

The Author Email: Minghong Wang (wangminghong@lcu.edu.cn)

DOI:10.3788/LOP55.021301

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology