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对舰船尾流激光散射机理及探测过程的数值模拟是研究舰船尾流激光探测与制导的重要基础. 首先分析了Monte Carlo方法引入到尾流激光雷达数值模拟领域研究的可行性. 结合自行研制的尾流激光雷达实际参数, 建立了尾流激光探测的Monte Carlo数值仿真模型. 通过对仿真结果进行统计, 深入剖析了仿真结果方差大及光子利用率低等问题的成因. 为解决该问题, 基于有偏采样理论和分裂-轮盘赌基本原理提出了接收光学视场内光子强行碰撞方法和以光子自由程总长度为准则的光子分裂方法, 并进行了两方法的融合. 仿真与实验结果的对比分析表明, 提出的模型仿真结果与实验数据符合较好, 验证了模型的正确性; 提出的接收光学视场内光子强行碰撞方法和光子分裂方法能有效减小方差并提高光子利用率; 解决了Monte Carlo方法引入到尾流激光雷达模拟过程中的适用性问题.
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关键词:
- Monte Carlo /
- 激光雷达 /
- 方差消减 /
- 气泡
The numerical simulation of ship wake laser scattering mechanism and the detection process are important foundations for the laser detection and guidance of the ship wake. The feasibility that Monte Carlo method is introduced into the numerical simulation of lidar of ship wake is analyzed firstly. The Monte Carlo simulation model of laser detection of ship wake is developed with the actual parameters of self-developed lidar of ship wake. The causes of the large variance and low photon utilization of simulation results are in-depth analyzed by statistics on the simulation results. To resolve this problem, the method of photon collision forced in the receive optical fields, the photon splitting method with the total free pach of photon serving as a criterion, and the conbination of the two methods are put forward based on partial sampling theory and the basic principle of division-roulette bet. The comparative analyses of the simulation and the experimental results show that the proposed model simulation results fit to experimental data better, thus the correctness of the model is verified. The photon collision forced in the receive optical field and division-the roulette method can effectively reduce the variance and increase the photon utilization. In this paper, the Monte Carlo method is introduced into the simulation process of lidar of ship wake.-
Keywords:
- Monte Carlo /
- lidar /
- variance reduction /
- bubble
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[2] Ulloa O, Sathyendranath S, Platt T 1994 Appl. Opt. 33 7070
[3] Zhang X D, Lewis M, Johnson B 1998 Appl. Opt. 37 6525
[4] Qiu H H 2003 J. Opt. Soc. Am. A 20 690
[5] Kokhanovsky A A 2003 J. Opt. A: Pure Appl. Opt. 5 47
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[19] Fan J J, Li J L, Cheng J P, Pei L C 2003 Sci. China E 33 452 (in Chinese) [范佳锦, 李君利, 程建平, 裴鹿成 2003 中国科学(E辑) 33 452]
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[1] Stanic S, Caruthers J W, Goodman R R, Kennedy E, Brown R A 2009 IEEE J. Oceanic Eng. 34 83
[2] Ulloa O, Sathyendranath S, Platt T 1994 Appl. Opt. 33 7070
[3] Zhang X D, Lewis M, Johnson B 1998 Appl. Opt. 37 6525
[4] Qiu H H 2003 J. Opt. Soc. Am. A 20 690
[5] Kokhanovsky A A 2003 J. Opt. A: Pure Appl. Opt. 5 47
[6] Hulst V 1957 Light Scattering by Small Particles (New York: Wiley) pp107-185
[7] Geller M, Johnson G B, Yen J H, Clapp G A 1986 Proceedings of the Tactical Communication Conference Fort Wayne, USA, April 2-6, 1986 p60
[8] He X Q, Pan D L, Bai Y, Zhu Q K, Gong F, Mao Z H 2010 Acta Opt. Sin. 30 618 (in Chinese) [何贤强, 潘德炉, 白雁, 朱乾坤, 龚芳, 毛志华 2010 光学学报 30 618]
[9] Ding H P, Chen G, Majumdar A, Sadler B M, Xu Z Y 2009 IEEE JSAC 27 1535
[10] Mobley C D 1994 Light and Water: Radiative Transfer in Natural Waters (Vol. 1) (New York: Academic Press) pp112-115
[11] Cheng T H, Gu X F, Chen L F, Yu T, Tian G L 2008 Acta Phys. Sin. 57 5323 (in Chinese) [程天海, 顾行发, 陈良富, 余涛, 田国良 2008 57 5323]
[12] Wang L, Xu Z H, Feng H J 2005 Acta Phys. Sin. 54 2694 (in Chinese) [王凌, 徐之海, 冯华君 2005 54 2694]
[13] Chen W G, Huang B X 1996 Acta Electron. Sin. 24 47 (in Chinese) [陈文革, 黄本雄 1996 电子学报 24 47]
[14] Du Z F, Huang T X, Lu Y M, Yang Z K 2003 Acta Electron. Sin. 31 1815 (in Chinese) [杜竹峰, 黄铁侠, 卢益民, 杨宗凯 2003 电子学报 31 1815]
[15] Liang S Y, Wang J A, Zhang F, Shi S W, Ma Z G, Liu T, Wang Y H 2012 Acta Phys. Sin. 61 110701 (in Chinese) [梁善勇, 王江安, 张峰, 石晟玮, 马治国, 刘涛, 王雨虹 2012 61 110701]
[16] Xu L Q, Li H, Xiao Z Y 2008 Acta Phys. Sin. 57 6030 (in Chinese) [徐兰青, 李晖, 肖郑颖 2008 57 6030]
[17] Zhao T F, Ke X Z 2012 Acta Phys. Sin. 61 114208 (in Chinese) [赵太飞, 柯熙政 2012 61 114208]
[18] Shi S W, Wang J A, Jiang X Z, Ma Z G, Yu Y 2008 Acta Opt. Sin. 28 1861 (in Chinese) [石晟玮, 王江安, 蒋兴舟, 马治国, 余扬 2008 光学学报 28 1861]
[19] Fan J J, Li J L, Cheng J P, Pei L C 2003 Sci. China E 33 452 (in Chinese) [范佳锦, 李君利, 程建平, 裴鹿成 2003 中国科学(E辑) 33 452]
[20] Li S, Tian D F, Qeng L 2011 J. Comput. Phys. 28 323 (in Chinese) [李树, 田东风, 邓力 2011 计算物理 28 323]
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