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Studies on the direction distribution of laser beam intensity reflected from the sea surface is important for engineering practice in the area of optoelectronic confrontation on the sea surface. In the traditional theory of electromagnetic scattering from rough surfaces, the scattered field from the sea surface can be obtained by solving the Maxwell's equations. As is well known, it is difficult to solve the Maxwell's equations. Therefore, the numerical calculation method and approximate analytical method are used to obtain the scattered field from the sea surface. However, for the numerical calculation method, it is difficult to meet the computing requirements of large electrically targets such as the sea surface. Meanwhile the approximate analytical method has certain restrictions on the parameters of rough surface in physical approximation. What is more, the inherent error is also caused by the physical approximation. In this paper, we investigate the laser beam reflection from rough sea surface with Monte Carlo method and principles of geometric optics. The rough sea surface which is simulated with the fractal method is divided into a lot of small planes, and the mathematical equations to describe the geometric characteristics of the planes are established in the sea reference coordinate system. After that, based on the simulation of Gaussian beam with Monte Carlo method, the laser beam is divided into a great number of rays and the statistical properties of the rays satisfy the propagation characteristics of Gaussian beam. Then, the laser beam reflection model from the sea surface is derived in the reference coordinate system. The direction distribution of the laser beam intensity reflected from the sea surface is simulated under a certain experiment condition with this model. The results show that the simulation results of laser beam reflection from the sea surface fit the experimental results well.
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Keywords:
- Gaussian beam /
- laser reflection form sea surface /
- geometrical optics
[1] Otremba Z 2004 Opt. Express 15 1671
[2] Sun L J, Tian Z S, Ren X Y, Zhang Y C, Fu S Y 2014 Acta Phys. Sin. 63 134211 (in Chinese) [孙兰君, 田兆硕, 任秀云, 张延超, 付石友 2014 物理学报 63 134211]
[3] Gleason A C, Voss K J, Gordon H R, Twardowski M, Sullivan J, Trees C, Weidemann A, Berthon J F, Clark D, Lee Z P 2012 Opt. Express 20 7630
[4] Hu Y X, Vaughan M, Liu Z Y, Lin B, Yang P, Flittner D, Hunt B, Kuehn R, Huang J P, Wu D, Rodier S, Powell K, Trepte C, Winker D 2007 Opt. Express 15 5327
[5] Barton J S, Jasinski, M F 2011 Remote Sens. 3 1492
[6] Zheng Y, Yang K C, Xia M, Rao J H 2008 J. Appl. Opt. 29 785 (in Chinese) [郑毅, 杨克成, 夏珉, 饶炯辉 2008 应用光学 29 785]
[7] Li K, Wang J A, Yao Y 2012 Infrared Laser Eng. 41 1458 (in Chinese) [李恪, 王江安, 姚瑶 2012 红外与激光工程 41 1458]
[8] Xi P L, Li K 2015 Laser Infrared 45 256 (in Chinese) [席沛丽, 李恪 2015 激光与红外 45 256]
[9] Fan T Q, Guo L X, Jin J, Meng X 2014 Acta Phys. Sin. 63 214104 (in Chinese) [范天奇, 郭立新, 金健, 孟肖 2014 物理学报 63 214104]
[10] Nie D, Zhang M 2010 Chin. Phys. B 19 074101
[11] Qi X, Han X E 2015 Acta Optica Sin. 35 0829003 (in Chinese) [亓晓, 韩香娥 2015 光学学报 35 0829003]
[12] Zhu X M, Ren X C, Guo L X 2014 Acta Phys. Sin. 63 054101 (in Chinese) [朱小敏, 任新成, 郭立新 2014 物理学报 63 054101]
[13] Kubicke G, Bourlier C, Saillard J 2008 Waves Random Complex Media 18 495
[14] Berizzi F, Dalle-Mese E 2002 IEEE. Tran. Antenn. Propag. 50 912
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[1] Otremba Z 2004 Opt. Express 15 1671
[2] Sun L J, Tian Z S, Ren X Y, Zhang Y C, Fu S Y 2014 Acta Phys. Sin. 63 134211 (in Chinese) [孙兰君, 田兆硕, 任秀云, 张延超, 付石友 2014 物理学报 63 134211]
[3] Gleason A C, Voss K J, Gordon H R, Twardowski M, Sullivan J, Trees C, Weidemann A, Berthon J F, Clark D, Lee Z P 2012 Opt. Express 20 7630
[4] Hu Y X, Vaughan M, Liu Z Y, Lin B, Yang P, Flittner D, Hunt B, Kuehn R, Huang J P, Wu D, Rodier S, Powell K, Trepte C, Winker D 2007 Opt. Express 15 5327
[5] Barton J S, Jasinski, M F 2011 Remote Sens. 3 1492
[6] Zheng Y, Yang K C, Xia M, Rao J H 2008 J. Appl. Opt. 29 785 (in Chinese) [郑毅, 杨克成, 夏珉, 饶炯辉 2008 应用光学 29 785]
[7] Li K, Wang J A, Yao Y 2012 Infrared Laser Eng. 41 1458 (in Chinese) [李恪, 王江安, 姚瑶 2012 红外与激光工程 41 1458]
[8] Xi P L, Li K 2015 Laser Infrared 45 256 (in Chinese) [席沛丽, 李恪 2015 激光与红外 45 256]
[9] Fan T Q, Guo L X, Jin J, Meng X 2014 Acta Phys. Sin. 63 214104 (in Chinese) [范天奇, 郭立新, 金健, 孟肖 2014 物理学报 63 214104]
[10] Nie D, Zhang M 2010 Chin. Phys. B 19 074101
[11] Qi X, Han X E 2015 Acta Optica Sin. 35 0829003 (in Chinese) [亓晓, 韩香娥 2015 光学学报 35 0829003]
[12] Zhu X M, Ren X C, Guo L X 2014 Acta Phys. Sin. 63 054101 (in Chinese) [朱小敏, 任新成, 郭立新 2014 物理学报 63 054101]
[13] Kubicke G, Bourlier C, Saillard J 2008 Waves Random Complex Media 18 495
[14] Berizzi F, Dalle-Mese E 2002 IEEE. Tran. Antenn. Propag. 50 912
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