Abstract
Based on the scintillation index of Airy beam and exponentiated Weibull channel model, analytical expressions of outage probability for free-space optical (FSO) communication links with Airy beam as a signal carrier under weak atmospheric turbulence and on–off keying modulation scheme are derived. The outage probability at various propagation distances, transverse scale factors and exponential decay factors has been evaluated. And we compared the outage probability of FSO links with Airy beam and Gaussian beam as a signal carrier. The results show that the outage probability of FSO links with Airy beam as carrier decreases with the increase of threshold parameter and increases with the increase of propagation distance. When the transverse scale factor of Airy beam is about 2 cm, a lower outage probability can be obtained. And the smaller the exponential decay factor of the Airy beam, the lower the outage probability. Under the same source power or source width, the outage probability of FSO links with Airy beam as a carrier is significantly lower than that of FSO links with Gaussian beam as a carrier. The results of this research have some reference significance for the application of Airy beam in FSO communication system.
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The datasets generated during and/or analysed during the current study are available from the corresponding author upon reasonable request.
References
Chaaban, A., Morvan, J., Alouini, M.: Free-space optical communications: capacity bounds, approximations, and a new sphere-packing perspective. IEEE T. Commun. 64(3), 1176–1191 (2016)
Kaushal, H., Kaddoum, G.: Optical communication in space: challenges and mitigation techniques. IEEE Commun. Surv Tut. 19(1), 57–96 (2016)
Xu, G.J., Song, Z.H., Zhang, Q.Y.: Outage probability and channel capacity of an optical spherical wave propagating through anisotropic weak-to-strong oceanic turbulence with Málaga distribution. J. Opt. Soc. Am. A. 37, 1622–1629 (2020)
Lin, Z.R., Xu, G.J., Zhang, Q.Y., Song, Z.H.: Scintillation index for spherical wave propagation in anisotropic weak oceanic turbulence with aperture averaging under the effect of inner scale and outer scale. Photonics 9, 458 (2022)
Gupta, R., Kamal, T.S.: Performance analysis of OFDM based FSO communication system with TCM codes. Optik 248, 168141 (2021)
Álvarez-Roa, M., Álvarez-Roa, C., Fernández-Aragón, F., Raddo, T., Garrido-Balsells, J.M., Tafur-Monroy, I., Jurado-Navas, A.: Performance analysis of atmospheric optical communication systems with spatial diversity affected by correlated turbulence. J. Opt. Commun. Netw. 14, 524–539 (2022)
Bosu, R., Prince, S.: Mitigation of turbulence induced scintillation using concave mirror in reflection-assisted OOK free space optical links. Opt. Commun. 432, 101–111 (2019)
Kaur, P., Jain, V.K., Kar, S.: Effect of atmospheric conditions and aperture averaging on capacity of free space optical links. Opt. Quant. Electron. 46, 1139–1148 (2014)
Peleg, A.J., Moloney, V.: Scintillation reduction by use of multiple Gaussian laser beams with different wavelengths. IEEE Photonic. Tech. L. 19(12), 883–889 (2007)
Li, J.W., Chen, W.B.: Investigation on bandwidth of adaptive optical system in satellite-ground coherent optical communication. Chin. J. Lasers. 43(8), 0806003 (2016)
Andrews, L.C.: Aperture-averaging factor for optical scintillations of plane and spherical waves in the atmosphere. J. Opt. Soc. Am. A. 9(4), 597–600 (1992)
Zhang, H.G., Tang, X., Lin, B.J., Zhou, Z.L., Lin, C., Chaudhary, S., Ghassemlooy, Z.: Performance analysis of FSO system with different modulation schemes over gamma-gamma turbulence channel. In: Proc. of SPIE. 11048 (2019)
Chu, X.C., Zhao, S.H., Chen, Z., Li, Y.J., Li, R.X., Fang, Y.W.: Research progress of Airy beam and feasibility analysis for its application in FSO system. Chin. Sci. Bull 61(17), 1962–1974 (2016)
Siviloglou, G.A., Siviloglou, D.N.: Accelerating finite energy Airy beams. Opt Lett. 32(8), 979–981 (2007)
Siviloglou, G.A., Broky, J., Dogariu, A., Christodoulides, D.N.: Observation of accelerating Airy beams. Phys. Rev. Lett. 99(21), 213901 (2007)
Liu, X., Xia, D.N., Monfared, Y.E., Liang, C.H., Wang, F., Cai, Y.J., Ma, P.J.: Generation of novel partially coherent truncated Airy beams via Fourier phase processing. Opt. Express 28(7), 9777–9785 (2020)
Gu, Y., Gbur, G.: Scintillation of Airy beam arrays in atmospheric turbulence. Opt. Lett. 35(20), 3456–3458 (2010)
Chu, X.C., Zhao, S.H., Fang, Y.W.: Maximum non-diffracting propagation distance of aperture-truncated Airy beams. Opt. Commun. 414, 5–9 (2018)
Chen, C.Y., Yang, H.M., Kavehrad, M., Zhou, Z.: Propagation of radial Airy array beams through atmospheric turbulence. Opt. Laser. Eng. 52, 106–114 (2014)
Ji, X.L., Eyyuboğlu, H.T., Ji, G.M., Jia, X.H.: Propagation of an Airy beam through the atmosphere. Opt. Express 21(2), 2154–2164 (2013)
Tao, R.M., Si, L., Ma, Y.X., Zhou, P., Liu, Z.J.: Average spreading of finite energy Airy beams in non-Kolmogorov turbulence. Opt. Laser. Eng. 51, 488–492 (2013)
Eyyuboğlu, H.T.: Scintillation behavior of Airy beam. Opt. Laser. Technol. 47, 232–236 (2013)
Wang, J.A., Wang, X.L., Guo, L.Y., Che, Y., Yin, P.: Light intensity scintillation of Airy beam. Acta. Optica. Sinica. 37(1), 0626001 (2017)
Lu, Q., Gao, S.J., Sheng, L., Wu, J.B., Qiao, Y.F.: Generation of coherent and incoherent Airy beam arrays and experimental comparisons of their scintillation characteristics in atmospheric turbulence. Appl. Optics 56(13), 3750–3757 (2017)
Wen, W., Jin, Y., Hu, M.J., Liu, X.L., Cai, Y.J., Zou, C.J., Luo, M., Zhou, L.W., Chu, X.X.: Beam wander of coherent and partially coherent Airy beam arrays in a turbulent atmosphere. Opt. Commun. 415, 48–55 (2018)
Rose, P., Diebel, F., Boguslawski, M., Denz, C.: Airy beam induced optical routing. Appl. Phys. Lett. 102, 101101 (2013)
Liang, Y., Hu, Y., Song, D.H., Lou, C.B., Zhang, X.Z., Chen, Z.G., Xu, J.J.: Image signal transmission with Airy beams. Opt. Lett. 40(23), 5686–5689 (2015)
Zhu, G.X., Wen, Y.H., Wu, X., Chen, Y.J., Liu, J., Yu, S.Y.: Obstacle evasion in free-space optical communications utilizing Airy beams. Opt. Lett. 43(6), 1203–1206 (2018)
Chu, X.C., Liu, R.J., Li, Y., Ni, Y.H., Wang, X., Han, Z.X.: BER analysis of FSO system with Airy beam as carrier over exponentiated Weibull channel model. Opt. Quant. Electron. 53, 692 (2021)
Zhao, J., Zhao, S.H., Zhao, W.H., Li, Y.J., Liu, Y., Li, X.: Analysis of link performance and robustness of homodyne BPSK for airborne backbone laser communication system. Opt. Commun. 359, 189–194 (2016)
Fu, Y.L., Ma, J., Yu, S.Y., Tan, L.Y.: BER performance analysis of coherent SIMO FSO systems over correlated non-Kolmogorov turbulence fading with nonzero boresight pointing error. Opt. Commun. 430, 31–38 (2019)
Barrios, R., Dios, F.: Exponentiated Weibull model for the irradiance probability density function of a laser beam propagating atmospheric turbulence. Opt. Laser. Technol. 45, 13–20 (2013)
Kolbig, K.S., Prudnikov, A.P., Bryckov, Y.A., et al.: Integrals and series: more special functions. Math. Comput. 44(170), 573 (1985)
Frida, S.V.: Fade statistics for a lasercom system and the joint PDF of a Gamma-Gamma distributed irradiance and its time derivative. University of Central Florida, Florida (2006)
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Li, Y., Chu, Xc., Wang, X. et al. Outage probability analysis of FSO system with Airy beam as carrier. Opt Rev 29, 469–475 (2022). https://doi.org/10.1007/s10043-022-00763-y
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DOI: https://doi.org/10.1007/s10043-022-00763-y