Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight

Du Wenhe; Zhou Zhiming; Liu Daosen; Cai Chengjiang; Du Xiufeng; Li Rui; Zhang Guangyu; Yang Yuqiang

Volume 42 Issue 10

Feb. 2014

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Article Navigation > Infrared and Laser Engineering > 2013 > 42(10): 2778-2783

Du Wenhe, Zhou Zhiming, Liu Daosen, Cai Chengjiang, Du Xiufeng, Li Rui, Zhang Guangyu, Yang Yuqiang. Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight[J]. Infrared and Laser Engineering, 2013, 42(10): 2778-2783.

Citation:

Du Wenhe, Zhou Zhiming, Liu Daosen, Cai Chengjiang, Du Xiufeng, Li Rui, Zhang Guangyu, Yang Yuqiang. Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight[J]. Infrared and Laser Engineering, 2013, 42(10): 2778-2783.

Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight

1.
Communication and Electronic Engineering Institute,Qiqihar University,Qiqihar 161006,China;
2.
China United Communications Limited,Yian Branch,Qiqihar 161005,China;
3.
Institute of Applied Physics,Harbin Science and Engineering University,Harbin 150001,China

Received Date: 2013-02-20
Rev Recd Date: 2013-03-21
Publish Date: 2013-10-25

Abstract

Based on a power spectrum of non-Kolmogorov turbulence developed by A S Gurvich et al, the variance of angle-of-arrival (AOA) fluctuations was derived. The concise closed-form expression was obtained and used to analyze the joint influence of Kolmogorov tropospheric turbulence and non-Kolmogorov stratospheric one on the fluctuations in the angle of arrival (AOA) of starlight. It is shown that the AOA fluctuations of starlight were mainly determined by Kolmogorov tropospheric turbulence. And the non-Kolmogorov stratospheric turbulence was responsible for 5-14 percent of the total of AOA fluctuations for different receiver apertures in weak fluctuations regime. In addition, the AOA fluctuations induced by non-Kolmogorov turbulence depended on the receiver aperture and the outer scale and the intensity of non-Kolmogorov turbulence.
- atmospheric optics,
- non-Kolmogorov turbulence,
- Kolmogorov model,
- angle-of-arrival fluctuations

References

[1]	Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media [M]. Bellingham: SPIE Optical Engineering Press, 1998.
[2]
[3]
[4]	Tatarskii V I. Wave Propagation in a Turbulent Medium [M]. New York: McGraw-Hill Book Company Inc, 1961.
[5]	Tatarskii V I. The Effects of the Turbulent Atmosphere on Wave Propagation [M]. Israel Program for Scientific Translations, 1971.
[6]
[7]	Chiba T. Spot dancing of the laser beam propagated through the turbulent atmosphere[J]. Appl Opt, 1971, 10: 2456-2461.
[8]
[9]	Ma Huimin, Zhang Pengfei, Zhang Jinghui, et al. Numerical simulation and analysis of dynamic compensation for atmosphere turbulence based on stochastic parallel gradient descent optimization[J]. Opt Lett, 2012, 10(1): S10102.
[10]
[11]
[12]	Liu C, Yao Y, Sun Y, et al. Average capacity optimization in free-space optical communication system over atmospheric turbulence channels with pointing errors [J]. Opt Lett, 2010, 8(3): 537.
[13]	Lu Wei,Liu Liren,Sun Jianfeng. Influence of temperature and salinity fluctuations on propagation behaviour of partially coherent beams in oceanic turbulence [J]. Opt Lett, 2006, 10 (6): 1052.
[14]
[15]	Majumdar A K, Ricklin J C. Effects of the atmospheric channel on free-space laser communications[C]//SPIE, 2004, 5892: 58920K-1.
[16]
[17]	Ricklin J C. Estimating optical turbulence effects on free-space laser communication:modeling and measurements at arl's a_lot facility[C]//SPIE, 2004, 5550: 247-255.
[18]
[19]	Kazaura K, Omae K, Suzuki T, et al. Enhancing performance of next generation fso communication systems using soft computing-based predictions [J]. Opt Express, 2006, 14: 4958-4968.
[20]
[21]
[22]	Andrews L C, Phillips R L. Optical scintillations and fade statistics for a satellite-communication systems[J]. Appl Opt, 1995, 34: 7742-7751.
[23]	Chesnokov S S, Skipetrov S E. Optical resolution through atmospheric turbulence with finite outer scale [J]. Optics Communications, 1997, 141: 113-117.
[24]
[25]	Chen Xiaowen, Ji Xiaoling. Directionality of partially coherent annular flat-topped beams propagating through atmospheric turbulence [J]. Optics Communications, 2008, 281: 4765-4770.
[26]
[27]	Consortini A, Innocenti C. Estimate method for outer scale of atmospheric turbulence[J]. Optics Communications, 2002, 214: 9-14.
[28]
[29]	Hahil Tanyer Eyyuboglu. Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence[J]. Optics and Laser Technology, 2008, 40: 156-166.
[30]
[31]	Mahdieh M H, Pournoury M. Atmospheric turbulence and numerical evaluation of bit err or rate (BER) in free-space communication [J]. Optics and Laser Technology, 2010, 42:55-60.
[32]
[33]
[34]	Golbraikh E, Kopeika N S. Behavior of structure function of refraction coefficient in different turbulent fields [J]. Applied Optics, 2004, 43: 6151-6156.
[35]
[36]	Zilberman A, Golbraikh E, Kopeika S, et al. Lidar study of aerosol turbulence characteristicss in the troposphere: Kolmogorov and non-Kolmogorov turbulence [J]. Atmospheric Research, 2008, 88: 66-77.
[37]
[38]	Kyrazis D T, Wissler J B, Keating D B, et al. Measurement of optical turbulence in the upper troposphere and lower stratosphere[C]//SPIE, 1994, 2110: 43-55.
[39]
[40]	Chu Xiuxiang, Qiao Chunhong, Feng Xiaoxing. Average intensity of flattened Gaussian beam in non-Kolmogorov turbulence [J]. Optics and Laser Technology, 2011, 43: 1150-1154.
[41]	Tan Liying, Du Wenhe, Ma Jing, et al. Log-amplitude variance for a Gaussian-beam wave propagating through Non-Kolmogorov turbulence[J]. Optics Express, 2010: 451-462.
[42]
[43]
[44]	Zhang Yixin, Si Congfang, Wang Yuanguang, et al. Capacity for non-Kolmogorov turbulent optical links with beam wander and pointing errors [J]. Optics and Laser Technology, 2011, 43: 1338-1342.
[45]
[46]	Wu Guohua, Zhao Tongguang, Ren Jianhua, et al. Beam propagat ion factor of partially coherent Hermite-Gaussian beams through non-Kolmogorov turbulence [J]. Optics and Laser Technology, 2011, 43: 1225-1228.
[47]
[48]	Gurvich A S, Belen忆kii M S. Influence of stratospheric turbulence on infrared imaging [J]. J Opt Soc Am A, 1995, 12: 2517-2522.
[49]
[50]	Belen忆kii M S. Effect of the stratosphere on star image motion[J]. Opt Lett, 1995, 20(12): 1359-1361.
[51]
[52]	Trinquet H, Agabi A, Vernin J, et al. Optical turbulence and outer scales above Dome C in Antarctica [C]//SPIE, 2008, 7012: 701225-1.
[53]	Abahamid A, Jabiri A, Verin J, et al. Optical turbulence modeling in the boundary layer and free atmosphere using instrumented meteorological balloons [J]. Astronomy and Astrophysics, 2004, 416: 1193-1200.
[54]
[55]
[56]	Trinquet H, Agabi A, Vernin J, et al. Using meteorological forecasts to predict astronoical seeing [C]//SPIE, 2008,7012: 701225-1.
[57]	Abahamid A, Jabiri A, Verin J, et al. Meteorological profiles and optical turbulence in the free atmosphere with NCEP/ NCAR data at Oukaimeden [J]. Astronomu and Astrophysics, 2004, 416: 1193

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight

1. Communication and Electronic Engineering Institute,Qiqihar University,Qiqihar 161006,China;

2. China United Communications Limited,Yian Branch,Qiqihar 161005,China;

3. Institute of Applied Physics,Harbin Science and Engineering University,Harbin 150001,China

Received Date: 2013-02-20

Rev Recd Date: 2013-03-21

Publish Date: 2013-10-25

Key words:

Abstract: Based on a power spectrum of non-Kolmogorov turbulence developed by A S Gurvich et al, the variance of angle-of-arrival (AOA) fluctuations was derived. The concise closed-form expression was obtained and used to analyze the joint influence of Kolmogorov tropospheric turbulence and non-Kolmogorov stratospheric one on the fluctuations in the angle of arrival (AOA) of starlight. It is shown that the AOA fluctuations of starlight were mainly determined by Kolmogorov tropospheric turbulence. And the non-Kolmogorov stratospheric turbulence was responsible for 5-14 percent of the total of AOA fluctuations for different receiver apertures in weak fluctuations regime. In addition, the AOA fluctuations induced by non-Kolmogorov turbulence depended on the receiver aperture and the outer scale and the intensity of non-Kolmogorov turbulence.

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Reference (57)

[1]	Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media [M]. Bellingham: SPIE Optical Engineering Press, 1998.
[2]
[3]
[4]	Tatarskii V I. Wave Propagation in a Turbulent Medium [M]. New York: McGraw-Hill Book Company Inc, 1961.
[5]	Tatarskii V I. The Effects of the Turbulent Atmosphere on Wave Propagation [M]. Israel Program for Scientific Translations, 1971.
[6]
[7]	Chiba T. Spot dancing of the laser beam propagated through the turbulent atmosphere[J]. Appl Opt, 1971, 10: 2456-2461.
[8]
[9]	Ma Huimin, Zhang Pengfei, Zhang Jinghui, et al. Numerical simulation and analysis of dynamic compensation for atmosphere turbulence based on stochastic parallel gradient descent optimization[J]. Opt Lett, 2012, 10(1): S10102.
[10]
[11]
[12]	Liu C, Yao Y, Sun Y, et al. Average capacity optimization in free-space optical communication system over atmospheric turbulence channels with pointing errors [J]. Opt Lett, 2010, 8(3): 537.
[13]	Lu Wei,Liu Liren,Sun Jianfeng. Influence of temperature and salinity fluctuations on propagation behaviour of partially coherent beams in oceanic turbulence [J]. Opt Lett, 2006, 10 (6): 1052.
[14]
[15]	Majumdar A K, Ricklin J C. Effects of the atmospheric channel on free-space laser communications[C]//SPIE, 2004, 5892: 58920K-1.
[16]
[17]	Ricklin J C. Estimating optical turbulence effects on free-space laser communication:modeling and measurements at arl's a_lot facility[C]//SPIE, 2004, 5550: 247-255.
[18]
[19]	Kazaura K, Omae K, Suzuki T, et al. Enhancing performance of next generation fso communication systems using soft computing-based predictions [J]. Opt Express, 2006, 14: 4958-4968.
[20]
[21]
[22]	Andrews L C, Phillips R L. Optical scintillations and fade statistics for a satellite-communication systems[J]. Appl Opt, 1995, 34: 7742-7751.
[23]	Chesnokov S S, Skipetrov S E. Optical resolution through atmospheric turbulence with finite outer scale [J]. Optics Communications, 1997, 141: 113-117.
[24]
[25]	Chen Xiaowen, Ji Xiaoling. Directionality of partially coherent annular flat-topped beams propagating through atmospheric turbulence [J]. Optics Communications, 2008, 281: 4765-4770.
[26]
[27]	Consortini A, Innocenti C. Estimate method for outer scale of atmospheric turbulence[J]. Optics Communications, 2002, 214: 9-14.
[28]
[29]	Hahil Tanyer Eyyuboglu. Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence[J]. Optics and Laser Technology, 2008, 40: 156-166.
[30]
[31]	Mahdieh M H, Pournoury M. Atmospheric turbulence and numerical evaluation of bit err or rate (BER) in free-space communication [J]. Optics and Laser Technology, 2010, 42:55-60.
[32]
[33]
[34]	Golbraikh E, Kopeika N S. Behavior of structure function of refraction coefficient in different turbulent fields [J]. Applied Optics, 2004, 43: 6151-6156.
[35]
[36]	Zilberman A, Golbraikh E, Kopeika S, et al. Lidar study of aerosol turbulence characteristicss in the troposphere: Kolmogorov and non-Kolmogorov turbulence [J]. Atmospheric Research, 2008, 88: 66-77.
[37]
[38]	Kyrazis D T, Wissler J B, Keating D B, et al. Measurement of optical turbulence in the upper troposphere and lower stratosphere[C]//SPIE, 1994, 2110: 43-55.
[39]
[40]	Chu Xiuxiang, Qiao Chunhong, Feng Xiaoxing. Average intensity of flattened Gaussian beam in non-Kolmogorov turbulence [J]. Optics and Laser Technology, 2011, 43: 1150-1154.
[41]	Tan Liying, Du Wenhe, Ma Jing, et al. Log-amplitude variance for a Gaussian-beam wave propagating through Non-Kolmogorov turbulence[J]. Optics Express, 2010: 451-462.
[42]
[43]
[44]	Zhang Yixin, Si Congfang, Wang Yuanguang, et al. Capacity for non-Kolmogorov turbulent optical links with beam wander and pointing errors [J]. Optics and Laser Technology, 2011, 43: 1338-1342.
[45]
[46]	Wu Guohua, Zhao Tongguang, Ren Jianhua, et al. Beam propagat ion factor of partially coherent Hermite-Gaussian beams through non-Kolmogorov turbulence [J]. Optics and Laser Technology, 2011, 43: 1225-1228.
[47]
[48]	Gurvich A S, Belen忆kii M S. Influence of stratospheric turbulence on infrared imaging [J]. J Opt Soc Am A, 1995, 12: 2517-2522.
[49]
[50]	Belen忆kii M S. Effect of the stratosphere on star image motion[J]. Opt Lett, 1995, 20(12): 1359-1361.
[51]
[52]	Trinquet H, Agabi A, Vernin J, et al. Optical turbulence and outer scales above Dome C in Antarctica [C]//SPIE, 2008, 7012: 701225-1.
[53]	Abahamid A, Jabiri A, Verin J, et al. Optical turbulence modeling in the boundary layer and free atmosphere using instrumented meteorological balloons [J]. Astronomy and Astrophysics, 2004, 416: 1193-1200.
[54]
[55]
[56]	Trinquet H, Agabi A, Vernin J, et al. Using meteorological forecasts to predict astronoical seeing [C]//SPIE, 2008,7012: 701225-1.
[57]	Abahamid A, Jabiri A, Verin J, et al. Meteorological profiles and optical turbulence in the free atmosphere with NCEP/ NCAR data at Oukaimeden [J]. Astronomu and Astrophysics, 2004, 416: 1193

Effect of non-Kolmogorov turbulence on fluctuations in angle of arrival of starlight

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