簡易檢索 / 詳目顯示

研究生: Harjuno Hutomo
Harjuno Hutomo
論文名稱: 基於遺傳算法的光相控陣相位誤差校正與優化
Phase Error Correction and Optimization of Optical Phased Arrays Based on Genetic Algorithm
指導教授: 李三良
San-Liang Lee
口試委員: 徐世祥
Shih-Hsiang Hsu
Kimio Oguchi
Kimio Oguchi
洪勇智
Yung-Jr Hung
學位類別: 碩士
Master
系所名稱: 電資學院 - 電子工程系
Department of Electronic and Computer Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 66
中文關鍵詞: 相位優化相位誤差相位分佈GAPSLL優化區域轉向角
外文關鍵詞: phase optimization, phase error, phase distribution, GA, PSLL, optimization region, steering angle
相關次數: 點閱:180下載:5
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 光相控陣 (OPA) 的相位優化和相位誤差校正是將 OPA 應用於光學傳感的一項重要任務,因為陣列波導之間的製造引起的相位誤差會在遠場模式 (FFP) 中形成不需要的旁瓣。因此,需要一種能夠進行相位分佈優化的算法,以提高 FFP 的質量。在這項研究中,我們開發了相位分佈和糾錯算法。所提算法基於遺傳算法(GA)並配備尋峰算法以提高算法的準確性和自適應變異以維持高質量種群。所提出的算法可以執行各種OPA參數的相位優化,例如窄波導間距和大量天線。最後,在仿真結果中,所提出的算法實現了 15.58 dB 的 PSLL,並從 -4° 到 4° 進行了波束控制優化。我們還優化了 4.5 μm 波導間距和 1024 個天線的 OPA,PSLL 分別為 11.61 dB 和 12.09 dB。該算法不僅可以用於相位優化,還可以用於相位誤差估計和校正,可以將PSLL從1.1 dB提高到15.08 dB。


    Phase optimization and phase error correction of Optical Phased array (OPA) is an important task in applying OPAs for optical sensing due to the fabrication induced phase errors among the arrayed waveguides that form unwanted side-lobes in the far-field pattern (FFP). Thus, an algorithm that is able to conduct phase distribution optimization is required in order to enhance the quality of FFP. In this research, we develop phase distribution and error correction algorithm. The proposed algorithm is based on the genetic algorithm (GA) and equipped with peaks finder algorithm to increase the accuracy of algorithm and adaptive mutation to maintain the high-quality population. The proposed algorithm can perform phase optimization of various OPA parameters such as narrow waveguide spacing and high number of antennas. Finally, in the simulation result, the proposed algorithm achieves PSLL of 15.58 dB and performed beam steering optimization from -4° to 4°. We also optimize 4.5 μm waveguide spacing and 1024-antennas OPA with PSLL of 11.61 dB and 12.09 dB, respectively. The algorithm not only can be used for phase optimization, but also can be used for phase error estimation and correction which can improve PSLL from 1.1 dB to 15.08 dB.

    ABSTRACT i ACKNOWLEDGMENTS ii CONTENTS iii LIST OF FIGURES v LIST OF TABLES vi CHAPTER 1-INTRODUCTION 1 1.1 Background 1 1.2 Prior Works 3 1.2.1 Phase Optimization of OPA Based on Particle Swarm Optimization (PSO) 3 1.2.2 Phase optimization of OPA Based on Genetic Algorithm (GA) 5 1.3 Contribution 8 CHAPTER 2-LITERATURE REVIEW 9 2.1 Realization of Optical Antenna Arrays with Silicon Photonics Technology 9 2.2 Phased Array Antenna Principle 10 2.3 Genetic Algorithm (GA) Principle 11 CHAPTER 3-PROPOSED METHOD 13 3.1 Random Phase (phase Error) Formulation 15 3.2 Phase Optimization Algorithm 18 3.2.1 Initialization 18 3.2.2 Peak Side-Lobe Level (PSLL) Calculation 19 PSLL Calculation for Beam Steering 20 3.2.3 Parents Selection and Crossover 21 3.2.4 Mutation & Next Generation’s Population 22 3.3 OPA Calibration 24 3.3.1 Phase Error Estimation 24 3.3.2 Phase Error Correction 26 CHAPTER 4-SIMULATION RESULTS 27 4.1 Phase Optimization 27 4.1.1 Iteration Number Comparison 27 4.1.2 Phase Distribution Range Comparison 30 4.1.3 Beam Steering Optimization 32 4.1.4 OPA with 4.5 μm Antenna Spacing 34 4.1.5 OPA with 1024-antenna 35 4.2 OPA Calibration 37 4.2.1 Phase Error Estimation 37 4.2.2 Phase Error Correction 39 CHAPTER 5-CONLUSION 41 5.1 Summary of Results and Contributions 41 5.2 Future Work 42 REFERENCES 45 APPENDIX 50

    [1] Y. Wang, G. Zhou, X. Zhang, K. Kwon, P. A. Blanche, “2D broadband beamsteering with large-scale MEMS optical phased array,” Optica, OPTICA, vol. 6, no. 5, pp. 557–562, May 2019.
    [2] H. Abediasl and H. Hashemi, “Monolithic optical phased-array transceiver in a standard SOI CMOS process,” Opt. Express, OE, vol. 23, no. 5, pp. 6509–6519, Mar. 2015.
    [3] J. Montoya, A. Sanchez-Rubio, R. Hatch, and H. Payson, “Optical phased-array ladar,” Appl. Opt., AO, vol. 53, no. 31, pp. 7551–7555, Nov. 2014.
    [4] C. V. Poulton, A. Yaacobi, D. B. Cole, M. J. Byrd, M. Raval, D. Vermeulen, M. R. Watts, “Coherent solid-state LIDAR with silicon photonic optical phased arrays,” Opt. Lett., OL, vol. 42, no. 20, pp. 4091–4094, Oct. 2017.
    [5] K. Nakamura, K. Narumi, K. Kikuchi, and Y. Inada, “Liquid crystal-tunable optical phased array for LiDAR applications,” in Smart Photonic and Optoelectronic Integrated Circuits XXIII, vol. 11690, p. 116900W, Online, Mar. 2021.
    [6] C. V. Poulton, M. J. Byrd, P. Russo, E. Timurdogan, M. Khandaker, D. Vermeulen, M. R. Watts, “Long-range LiDAR and free-Space data communication with high-performance optical phased arrays,” IEEE Journal of Selected Topics in Quantum Electronics, vol. 25, no. 5, pp. 1–8, Sep. 2019.
    [7] K. Wang, Z. Yuan, E. Wong, K. Alameh, H. Li, K. Sithamparanathan, E. Skafidas, “Experimental demonstration of indoor infrared optical wireless communications with a silicon photonic integrated circuit,” J. Lightwave Technol., JLT, vol. 37, no. 2, pp. 619–626, Jan. 2019.
    [8] C. Barrera, S. Guerber, D. Fowler, S. Monfray, A. Montagne, A. Myko, P. Grosse, K. Ribaud, P. Lemaitre, S. Cremer, I. Charlet, L. Vivien, F. Boeuf, “Fast optical phased array on a 300-mm silicon platform,” in Smart Photonic and Optoelectronic Integrated Circuits XXIII, vol. 11690, p. 1169007, Online, Mar. 2021.
    [9] M. C. Shin, A. Mohanty, K. Watson, G. R. Bhatt, C. T. Phare, S. A. Miller, M. Zadka, B. S. Lee, X. Ji, I. Datta, M. Lipson, “Chip-scale blue light phased array,” Opt. Lett., OL, vol. 45, no. 7, pp. 1934–1937, Apr. 2020.
    [10] J. C. Hulme, J. K. Doylend, M. J. R. Heck, J. D. Peters, M. L. Davenport, J. T. Bovington, L. A. Coldren, J. E. Bowers, “Fully integrated hybrid silicon two dimensional beam scanner,” Opt. Express, OE, vol. 23, no. 5, pp. 5861–5874, Mar. 2015.
    [11] D. Zhuang, L. Zhagn, X. Han, Y. Li, Y. Li, X. Liu, F. Gao, J. Song, “Omnidirectional beam steering using aperiodic optical phased array with high error margin,” Opt. Express, OE, vol. 26, no. 15, pp. 19154–19170, Jul. 2018.
    [12] Y. Guo, Y. Guo, C. Li, H. Zhang, X. Zhou, and L. Zhang, “Integrated Optical Phased Arrays for Beam Forming and Steering,” Applied Sciences, vol. 11, no. 9, Art. no. 9, Jan. 2021.
    [13] F. Ashtiani and F. Aflatouni, “NxN optical phased array with 2N phase shifters,” Opt. Express, OE, vol. 27, no. 19, pp. 27183–27190, Sep. 2019.
    [14] Y. Kim, H. Yoon, J.-B. You, M. Kim, and H.-H. Park, “Wide-angle beam-steering using an optical phased array with non-uniform-width waveguide radiators,” Photonics, vol. 7, no. 3, Art. no. 3, Sep. 2020.
    [15] N. Dostart, B. Zhang, A. Khilo, M. Brand, K. A. Qubaisi, D. Onural, D. Feldkhun, K. H. Wagner, M. A. Popović, “Serpentine optical phased arrays for scalable integrated photonic lidar beam steering,” Optica, OPTICA, vol. 7, no. 6, pp. 726–733, Jun. 2020.
    [16] M. Brand, B. Zhang, D. Onural, K. A. Qubaisi, M. Popović, N. Dostart, K. Wagner, “High-resolution and compact serpentine integrated grating spectrometer,” J. Opt. Soc. Am. B, JOSAB, vol. 38, no. 7, pp. A75–A85, Jul. 2021.
    [17] B. Zhang, N. Dostart, A. Khilo, M. Brand, K. A. Qubaisi, D. Onural, D. Feldkhun, M. A. Popović, K. Wagner, “Serpentine optical phased array silicon photonic aperture tile with two-dimensional wavelength beam steering,” in Optical Fiber Communication Conference (OFC) 2019 (2019), paper M4E.5, p. M4E.5, San Diego, CA, Mar. 2019.
    [18] B. Zhang, Y. Liu, Z. Zhao, and P. Yan, “Multi-beam steering with low grating lobes using optimized unequally spaced phased array,” Optics Communications, vol. 427, pp. 48–53, Nov. 2018.
    [19] X. He, T. Dong, J. He, and Y. Xu, “A design approach of optical phased array with low side lobe level and wide angle steering range,” Photonics, vol. 8, no. 3, Art. no. 3, Mar. 2021.
    [20] D. Zhang, F. Zhang, and S. Pan, “Grating-lobe-suppressed optical phased array with optimized element distribution,” Optics Communications, vol. 419, pp. 47–52, Jul. 2018.
    [21] A. Kazemian, P. Wang, Y. Zhuang, Y. Yi, “Optimization of the silicon-based aperiodic optical phased array antenna,” Opt. Lett., OL, vol. 46, no. 4, pp. 801–804, Feb. 2021.
    [22] T. Lin and T. Chu, “Non-uniform Optical Phased Array Optimized with Genetic Algorithm,” in CLEO Pacific Rim Conference 2018 (2018), paper Tu3L.7, p. Tu3L.7, Hong Kong, China, Jul. 2018.
    [23] M. Gehl, G. Hoffman, P. Davids, C. Dallo, Z. Barber, E. Kadlec, R. K. Mohan, S. Crouch, C. Long, “Phase optimization of a silicon photonic two-dimensional electro-optic phased array,” in 2019 Conference on Lasers and Electro-Optics (CLEO), pp. 1–2, San Jose, CA, May 2019.
    [24] H. Zhang, Z. Zhang, C. Peng, and W. Hu, “Phase Calibration of On-Chip Optical Phased Arrays via Interference Technique,” IEEE Photonics Journal, vol. 12, no. 2, pp. 1–10, Apr. 2020.
    [25] Q. Wang, S. Wang, L. Jia, Y. Cai, W. Yue, M. Yu, “Silicon nitride assisted 1x64 optical phased array based on a SOI platform,” Opt. Express, OE, vol. 29, no. 7, pp. 10509–10517, Mar. 2021.
    [26] R. C. Eberhart and Y. Shi, “Comparison between genetic algorithms and particle swarm optimization,” in Evolutionary Programming VII, pp. 611–616, Berlin, Heidelberg, 1998.
    [27] S. Katoch, S. S. Chauhan, and V. Kumar, “A review on genetic algorithm: past, present, and future,” Multimed Tools Appl, vol. 80, no. 5, pp. 8091–8126, Feb. 2021.
    [28] J. Kennedy and R. Eberhart, “Particle swarm optimization,” in Proceedings of ICNN’95 - International Conference on Neural Networks, vol. 4, pp. 1942–1948 vol.4, Perth, WA, Australia, Nov. 1995.
    [29] W. Ma, S. Tan, K. Wan, W. Guo, Y. Liu, L. Liao, L. Zhou, J. Zhou, X. Li, L. Liang, W. Li, “Practical two-dimensional beam steering system using an integrated tunable laser and an optical phased array,” Appl. Opt., AO, vol. 59, no. 32, pp. 9985–9994, Nov. 2020.
    [30] M. Eremia, C.-C. Liu, and A.-A. Edris, “Genetic algorithms,” in Advanced Solutions in Power Systems: HVDC, FACTS, and Artificial Intelligence, IEEE, pp. 845–902, 2016.
    [31] Q. Liu, Y. Lu, B. Wu, P. Jiang, R. Cao, J. Feng, J. Guo, L. Jin, “Silicon Optical Phased Array Side Lobe Suppression Based on an Improved Genetic Algorithm,” in 2020 Asia Communications and Photonics Conference (ACP) and International Conference on Information Photonics and Optical Communications (IPOC), pp. 1–3, Beijing, China, Oct. 2020.
    [32] C. Wei-xun, Realization of Optical Antenna Arrays with Silicon Photonics Technology, Master Thesis, Dept. of Electronic and Comp. Eng., National Taiwan University of Science and Technology, 2020.
    [33] D. K. Cheng, Field and Wave Electromagnetics, 2nd ed. Asia: Pearson Education Asia Limited and Tsinghua University Press, 2006.
    [34] K. Choi, D.-H. Jang, S.-I. Kang, J.-H. Lee, T.-K. Chung, and H.-S. Kim, “Hybrid algorithm combing genetic algorithm with evolution strategy for antenna design,” IEEE Transactions on Magnetics, vol. 52, no. 3, pp. 1–4, Mar. 2016.

    QR CODE